Casio fx9860G manual

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600

Ir a la página of

Buen manual de instrucciones

Las leyes obligan al vendedor a entregarle al comprador, junto con el producto, el manual de instrucciones Casio fx9860G. La falta del manual o facilitar información incorrecta al consumidor constituyen una base de reclamación por no estar de acuerdo el producto con el contrato. Según la ley, está permitido adjuntar un manual de otra forma que no sea en papel, lo cual últimamente es bastante común y los fabricantes nos facilitan un manual gráfico, su versión electrónica Casio fx9860G o vídeos de instrucciones para usuarios. La condición es que tenga una forma legible y entendible.

¿Qué es un manual de instrucciones?

El nombre proviene de la palabra latina “instructio”, es decir, ordenar. Por lo tanto, en un manual Casio fx9860G se puede encontrar la descripción de las etapas de actuación. El propósito de un manual es enseñar, facilitar el encendido o el uso de un dispositivo o la realización de acciones concretas. Un manual de instrucciones también es una fuente de información acerca de un objeto o un servicio, es una pista.

Desafortunadamente pocos usuarios destinan su tiempo a leer manuales Casio fx9860G, sin embargo, un buen manual nos permite, no solo conocer una cantidad de funcionalidades adicionales del dispositivo comprado, sino también evitar la mayoría de fallos.

Entonces, ¿qué debe contener el manual de instrucciones perfecto?

Sobre todo, un manual de instrucciones Casio fx9860G debe contener:
- información acerca de las especificaciones técnicas del dispositivo Casio fx9860G
- nombre de fabricante y año de fabricación del dispositivo Casio fx9860G
- condiciones de uso, configuración y mantenimiento del dispositivo Casio fx9860G
- marcas de seguridad y certificados que confirmen su concordancia con determinadas normativas

¿Por qué no leemos los manuales de instrucciones?

Normalmente es por la falta de tiempo y seguridad acerca de las funcionalidades determinadas de los dispositivos comprados. Desafortunadamente la conexión y el encendido de Casio fx9860G no es suficiente. El manual de instrucciones siempre contiene una serie de indicaciones acerca de determinadas funcionalidades, normas de seguridad, consejos de mantenimiento (incluso qué productos usar), fallos eventuales de Casio fx9860G y maneras de solucionar los problemas que puedan ocurrir durante su uso. Al final, en un manual se pueden encontrar los detalles de servicio técnico Casio en caso de que las soluciones propuestas no hayan funcionado. Actualmente gozan de éxito manuales de instrucciones en forma de animaciones interesantes o vídeo manuales que llegan al usuario mucho mejor que en forma de un folleto. Este tipo de manual ayuda a que el usuario vea el vídeo entero sin saltarse las especificaciones y las descripciones técnicas complicadas de Casio fx9860G, como se suele hacer teniendo una versión en papel.

¿Por qué vale la pena leer los manuales de instrucciones?

Sobre todo es en ellos donde encontraremos las respuestas acerca de la construcción, las posibilidades del dispositivo Casio fx9860G, el uso de determinados accesorios y una serie de informaciones que permiten aprovechar completamente sus funciones y comodidades.

Tras una compra exitosa de un equipo o un dispositivo, vale la pena dedicar un momento para familiarizarse con cada parte del manual Casio fx9860G. Actualmente se preparan y traducen con dedicación, para que no solo sean comprensibles para los usuarios, sino que también cumplan su función básica de información y ayuda.

Índice de manuales de instrucciones

  • Página 1

    fx-9860G S e rie s S of t w are V ersi o n 1.10 User’ s Guide E CASIO W orldwide Education W ebsite http://edu.casio .com CASIO EDUCA TIONAL FOR UM http://edu.casio .com/f orum/[...]

  • Página 2

    20070201 TURNING PO WER ON AND OFF USING MODES B ASIC CALCULA TIONS REPLA Y FEA TURE FRA CTION CALCULA TIONS EXPONENTS ONBO ARD FUNCTION MANU AL GRAPH FUNCTIONS DU AL GRAPH D YNAMIC GRAPH T ABLE FUNCTION Quick-Start[...]

  • Página 3

    20070201 Quick-Star t W elcome to the world of graphing calculators. Quick-Start is not a complete tutor ial, b ut it tak es you through man y of the most common functions, from turning the power on, and on to gr aphing comple x equations. When you’ re done, y ou’ll hav e mastered the basic operation of this calculator and will be ready to proc[...]

  • Página 4

    20070201 2. Use defc to highlight RUN • MA T and then press w . This is the initial screen of the RU N • MA T mode, where you can perf or m manual calculations , matrix calculations, and run programs . BASIC CALCULA TIONS With manual calculations, y ou input formulas from left to right, just as they are written on paper . With formulas that inc[...]

  • Página 5

    20070201 1. Press !m to display the Setup screen. 2. Press cccccc 1 (Deg) to specify degrees as the angle unit. 3. Press J to clear the menu. 4. Press o to clear the unit. 5. Press cf* s ef w . REPLA Y FEA TURE With the repla y feature , simply press d or e to recall the last calculation that was perf or med so y ou can make changes or re-e xecute [...]

  • Página 6

    20070201 FRACTION CALCULA TIONS Y ou can use the $ ke y to input fractions into calculations. The symbol “ { ” is used to separate the v arious par ts of a fraction. Example: 31 / 16 + 37 / 9 1. Press o . 2. Press db $ bg+ dh $ j w . Indicates 871 / 144 Converting an Improper Fraction to a Mixed Fraction While an improper fraction is shown on t[...]

  • Página 7

    20070201 EXPONENTS Example: 1250 × 2.06 5 1. Press o . 2. Press bcfa*c.ag . 3. Press M and the ^ indicator appears on the display . 4. Press f . The ^5 on the display indicates that 5 is an e xponent. 5. Press w . ONBOARD FUNCTION MANUAL Y ou can use the catalog function to display the command onboard function manual. The onboard function manual i[...]

  • Página 8

    20070201 4. Press 5 (HELP). Onboard function manual GRAPH FUNCTIONS The graphing capabilities of this calculator mak es it possible to dr aw comple x graphs using either rectangular coordinates (horizontal axis: x ; v er tical axis: y ) or polar coordinates (angle: θ ; distance from origin: r ). All of the f ollowing gr aphing examples are perf or[...]

  • Página 9

    20070201 Example 2: T o deter mine the roots of Y = X(X + 1)(X – 2) 1. Press !5 (G-SL V). 2. Press 1 (ROO T). Press e for other roots . Example 3: Determine the area bounded by the origin and the X = –1 root obtained for Y = X(X + 1)(X – 2) 1. Press !5 (G-SL V) 6 ( g ). 2. Press 3 ( ∫ dx ). 3. Use d to move the pointer to the location where[...]

  • Página 10

    20070201 DUAL GRAPH With this function you can split the displa y between two areas and displa y two graph windows . Example: T o draw the f ollowing tw o graphs and determine the points of intersection Y1 = X(X + 1)(X – 2) Y2 = X + 1.2 1. Press ! m cc 1 (G+G) to specify “G+G” f or the Dual Screen setting. 2. Press J , and then input the two [...]

  • Página 11

    20070201 3. Use d e f c to mov e the pointer again. As you do , a box appears on the displa y . Mov e the pointer so the bo x encloses the area you want to enlarge . 4. Press w , and the enlarged area appears in the inactive (right side) screen. DYNAMIC GRAPH Dynamic Graph lets y ou see how the shape of a gr aph is affected as the v alue assigned t[...]

  • Página 12

    20070201 4. Press 4 (V AR) b w to assign an initial value of 1 to coeffi cient A. 5. Press 2 (SET) b w d w b w to specify the range and increment of change in coeffi cient A. 6. Press J . 7. Press 6 (D YNA) to star t Dynamic Graph dra wing. The graphs are dr awn 10 times . • T o interr upt an ongoing Dynamic Graph dra wing operation, press o . [...]

  • Página 13

    20070201 T ABLE FUNCTION The T able Function mak es it possib le to generate a table of solutions as diff erent values are assigned to the v ar iables of a function. Example: T o create a number tab le for the f ollowing function Y = X (X+1) (X–2) 1. Press m . 2. Use defc to highlight T ABLE , and then press w . 3. Input the f ormula. v ( v +b) ([...]

  • Página 14

    20070201 Pr ecautions when Using this Pr oduct A progress bar and/or a busy indicator appear on the displa y whenev er the calculator is performing a calculation, writing to memor y (including Flash memor y), or reading from memory (including Flash memor y). Busy indicator Progress bar Nev er press the P button or remov e the batteries from the cal[...]

  • Página 15

    20070201 • The contents of this user’ s guide are subject to change without notice. • No par t of this user’ s guide may be reproduced in an y f orm without the express written consent of the manuf acturer . • The options described in Chapter 12 of this user’s guide ma y not be availab le in cer tain geographic areas . For full details [...]

  • Página 16

    20070201 Contents Getting Acquainted — Read This First! Chapter 1 Basic Operation 1-1 K eys .................................................................................................. 1-1-1 1-2 Displa y .............................................................................................. 1-2-1 1-3 Inputting and Editing Calculation[...]

  • Página 17

    20070201 Chapter 5 Graphing 5-1 Sample Graphs ................................................................................. 5-1-1 5-2 Controlling What Appears on a Graph Screen .................................. 5-2-1 5-3 Dra wing a Graph ............................................................................... 5-3-1 5-4 Storing a Graph i[...]

  • Página 18

    20070201 3 Contents Chapter 8 Programming 8-1 Basic Programming Steps ................................................................ 8-1-1 8-2 PRGM Mode Function K eys .............................................................. 8-2-1 8-3 Editing Program Contents ................................................................. 8-3-1 8-4 File M[...]

  • Página 19

    20070201 4 Contents Appendix 1 Error Message T able ........................................................................... α -1-1 2 Input Ranges ....................................................................................... α -2-1[...]

  • Página 20

    20070201 Getting Acquainted — Read This First! About this User’ s Guide u ! x ( ' ) The abov e indicates you should press ! and then x , which will input a ' symbol. All multiple-ke y input operations are indicated like this. K ey cap markings are shown, f ollowed by the input character or command in parentheses . u m EQU A This indic[...]

  • Página 21

    20070201 0-1-1 Getting Acquainted u Graphs As a general rule, graph oper ations are shown on facing pages , with actual graph e xamples on the r ight hand page. Y ou can produce the same graph on y our calculator by perf or ming the steps under the Procedure abov e the graph. Look for the type of g raph y ou want on the right hand page, and then go[...]

  • Página 22

    20070201 Basic Operation 1-1 Ke ys 1-2 Display 1-3 Inputting and Editing Calculations 1-4 Option (OPTN) Menu 1-5 V ariable Data (V ARS) Menu 1-6 Program (PRGM) Men u 1-7 Syntax Help 1-8 Using the Setup Screen 1-9 Using Screen Capture 1-10 When y ou keep having pr oblems… 1 Chapter[...]

  • Página 23

    20070201 1-1 Ke ys k Key Index Key Primary Function Combined with ! Combined with a T race 1 Selects 1st function menu item. P erforms trace operation (see page 5-11-1). Zoom 2 Selects 2nd function menu item. P erforms zoom operation (see page 5-2-7). V -Window 3 Selects 3rd function menu item. Displays V -Window parameter input screen (see page 5-[...]

  • Página 24

    20070201 Key Primary Function Combined with ! Combined with a QUIT J Back steps to the pre vious screen without making any changes. Retur ns directly to initial screen of the mode. f Moves cursor upw ard. Scrolls screen. Switches to previous function in trace mode. Scrolls one screen up in the e • AC T or RUN • MA T (Math input mode) mode. c Mo[...]

  • Página 25

    20070201 Key Primary Function Combined with ! Combined with a K , Enters comma. T ransitions from an application launched from an eActivity to another application (see page 10-3-13). (Enabled only in an eActivity .) Enters letter K. L a Assigns value to an Alpha memory name (see page 2-2-1). T oggles between an eActivity and the screen of an applic[...]

  • Página 26

    20070201 Key Primary Function Combined with ! Combined with a W d Enters number 3. Enters letter W . [ X + Addition function (see page 2-1-1). Specifi es positiv e value . Enters open brack et. Enters letter X. ] Y - Subtraction function (see page 2-1-1). Specifi es negativ e value . Enters close brack et. Enters letter Y . i Z a Enters number 0.[...]

  • Página 27

    20070201 k Key Markings Many of the calculator’ s keys are used to perf or m more than one function. The functions marked on the ke yboard are color coded to help you fi nd the one you need quic kly and easily . Function Key Operation 1 log l 2 10 x !l 3 B al The follo wing describes the color coding used for k ey markings. Color Key Operation O[...]

  • Página 28

    20070201 1-2-1 Display 1-2 Displa y k Selecting Icons This section describes how to select an icon in the Main Menu to enter the mode you w ant. u T o select an icon 1. Press m to display the Main Menu. 2. Use the cursor ke ys ( d , e , f , c ) to mov e the highlighting to the icon you w ant. Currently selected icon 3. Press w to display the initia[...]

  • Página 29

    20070201 1-2-2 Display Icon Mode Name Description S ¥ SHT (Spreadsheet) Use this mode to perform spreadsheet calculations. Each Þ le contains a 26-column × 999-line spreadsheet. In addition to the calculatorÕ s built-in commands and S ¥ SHT mode commands, y ou can also perform statistical calculations and graph statistical data using the same [...]

  • Página 30

    20070201 k About the Function Menu Use the function ke ys ( 1 to 6 ) to access the menus and commands in the menu bar along the bottom of the display screen. Y ou can tell whether a menu bar item is a menu or a command by its appearance . • Next Menu Example: Selecting displa ys a menu of hyperbolic functions . • Command Input Example: Selectin[...]

  • Página 31

    20070201 k Normal Display The calculator normally displays values up to 10 digits long. V alues that exceed this limit are automatically conv er ted to and display ed in exponential format. u How to interpret exponential f ormat 1.2 E +12 indicates that the result is equivalent to 1.2 × 10 12 . This means that you should mov e the decimal point in[...]

  • Página 32

    20070201 k Special Display Formats This calculator uses special display f or mats to indicate fractions, he xadecimal values , and degrees/minutes/seconds v alues. u F ractions ................... Indicates: 456 12 23 u Hexadecimal V alues ................... Indicates: 0ABCDEF1 (16) , which equals 180150001 (10) u Degrees/Minutes/Seconds .........[...]

  • Página 33

    20070201 1-3 Inputting and Editing Calculations Note • Unless specifi cally noted otherwise, all of the oper ations in this section are explained using the Linear input mode. k Inputting Calculations When you are ready to input a calculation, fi rst press A to clear the display . Next, input y our calculation formulas e xactly as they are writt[...]

  • Página 34

    20070201 In the Linear input mode, pressing !D (INS) changes the cursor to ‘ ‘ ’’ . The next function or v alue you input is ov erwritten at the location of ‘ ‘ ’’ . Ac ga ddd !D (INS) s T o abor t this operation, press !D (INS) again. u T o delete a step Example T o change 369 × × 2 to 369 × 2 A dgj**c d D In the inser t mode, t[...]

  • Página 35

    20070201 1-3-3 Inputting and Editing Calculations u T o insert a step Example T o change 2.36 2 to sin2.36 2 A c.dg x ddddd s u T o change the last step you input Example T o change 369 × 3 to 369 × 2 A dgj*d D c[...]

  • Página 36

    20070201 k Using Replay Memory The last calculation performed is alwa ys stored into replay memory . Y ou can recall the contents of the replay memory by pressing d or e . If you press e , the calculation appears with the cursor at the beginning. Pressing d causes the calculation to appear with the cursor at the end. Y ou can make changes in the ca[...]

  • Página 37

    20070201 1-3-5 Inputting and Editing Calculations # The cop y range of text y ou can specify depends on the current “Input Mode” setting. Linear input mode: 1 character 1 line Multiple lines Math input mode: 1 line only k Making Corrections in the Original Calculation Example 14 ÷ 0 × 2.3 entered by mistake for 14 ÷ 10 × 2.3 A be/a*c.d w Pr[...]

  • Página 38

    20070201 3. Press 1 (COPY) to copy the highlighted te xt to the clipboard, and exit the cop y range specifi cation mode. The selected characters are not changed when you copy them. T o cancel text highlighting without performing a cop y operation, press J . Math input mode 1. Use the cursor keys to mov e the cursor to the line you want to cop y . [...]

  • Página 39

    20070201 u P asting T ext Mov e the cursor to the location where you w ant to paste the text, and then press ! j (P ASTE). The contents of the clipboard are pasted at the cursor position. A ! j (P ASTE) k Catalog Function The catalog function provides y ou with an alphabetized menu of commands that y ou can use for input. Y ou also can input a comm[...]

  • Página 40

    20070201 3. Use f and c to select the command you want to input. This is the explanation te xt for the currently selected command. 1 (INPUT)... {inputs the selected command} 2 (e.g.)... {inputs the example of the selected command} Example input can be performed in the RUN • MA T mode (for the arithmetic calculation mode only , not the Matrix Edit[...]

  • Página 41

    20070201 • The follo wing are the categories that appear on the categor y selection screen. 1:All .................................. All commands 2:Calculation ..................... Calculation commands, including matrix operation and ENG symbols 3:Statistics ......................... Statistical calculation commands, v ariables, and statistical [...]

  • Página 42

    20070201 k Input Operations in the Math Input Mode Selecting “Math” for the “Input Mode” setting on the Setup screen (page 1-8-1) turns on the Math input mode, which allows natur al input and displa y of cer tain functions, just as they appear in your te xtbook. Note • The initial default “Input Mode” setting is “Linear” (Linear i[...]

  • Página 43

    20070201 u Math Input Mode Functions and Symbols The functions and symbols listed below can be used f or natural input in the Math input mode. The “Bytes” column shows the number of b ytes of memor y that are used up by input in the Math input mode. Function/Symbol Key Operation Bytes Fr action (Improper) $ 9 Mixed F raction* 1 !$ ( & ) 14 [...]

  • Página 44

    20070201 u Using the MA TH Menu In the RU N • MA T mode, pressing 4 (MA TH) displays the MA TH menu. Y ou can use this menu for natur al input of matrices, diff erentials, integrals , etc. • { MA T } ... {displays the MA T submenu, f or natural input of matrices} • { 2 × 2 } ... {inputs a 2 × 2 matrix} • { 3 × 3 } ... {inputs a 3 × 3 ma[...]

  • Página 45

    20070201 Example 2 T o input ( ) 1+ 2 5 2 A (b+ $ c c f e ) x w J Example 3 T o input 1+ x + 1 dx 0 1 A b+ 4 (MA TH) 6 ( g ) 1 ( ∫ dx ) a + (X) +b e a f b e w J 1-3-13 Inputting and Editing Calculations[...]

  • Página 46

    20070201 Example 4 T o input 2 × 1 2 2 1 2 2 A c* 4 (MA TH) 1 (MA T) 1 (2×2) $ b c c ee !x ( ' ) c e e !x ( ' ) c ee $ b c c w u When the calculation does not fi t within the display window Arrows appear at the left, right, top , or bottom edge of the display to let y ou know when there is more of the calculation off the screen in the [...]

  • Página 47

    20070201 u Inserting a Function into an Existing Expression In the Math input mode, y ou can make insert a natural input function into an existing expression. Doing so will cause the value or parenthetical e xpression to the right of the cursor to become the argument of the inser ted function. Use !D (INS) to inser t a function into an existing e x[...]

  • Página 48

    20070201 u Functions that Support Inser tion The follo wing lists the functions that can be inser ted using the procedure under “T o inser t a function into an existing e xpression” (page 1-3-15). It also provides information about how inser tion affects the e xisting calculation. Function Key Operation Original Expression Expression After Inse[...]

  • Página 49

    20070201 • Note the follo wing cursor operations you can use while inputting a calculation with natur al display f or mat. T o do this: Press this key: Move the cursor from the end of the calculation to the beginning e Move the cursor from the beginning of the calculation to the end d u Math Input Mode Calculation Result Display F ractions , matr[...]

  • Página 50

    20070201 1-3-18 Inputting and Editing Calculations u Math Input Mode Input Restrictions Note the follo wing restrictions that apply during input of the Math input mode. • Cer tain types of expressions can cause the v er tical width of a calculation formula to be greater than one displa y line. The maximum allowable v er tical width of a calculati[...]

  • Página 51

    20070201 1-4 Option (OPTN) Menu The option menu giv es you access to scientifi c functions and features that are not mark ed on the calculator’ s keyboard. The contents of the option menu diff er according to the mode you are in when you press the K key . See “8-7 PRGM Mode Command List” f or details on the option (OPTN) menu. u Option menu [...]

  • Página 52

    20070201 u Option menu during numeric data input in the ST A T , T ABLE, RECUR, EQU A and S • SHT modes • { LIST } / { CPLX } / { CALC } / { HYP } / { PROB } / { NUM } / { ANGL } / { ESYM } / { FMEM } / { LOGIC } u Option menu during form ula input in the GRAPH, D YNA, T ABLE, RECUR and EQU A modes • { List } / { CALC } / { HYP } / { PROB } /[...]

  • Página 53

    20070201 1-5 V ariable Data (V ARS) Menu T o recall variable data, press J to display the v ariable data menu. { V -WIN } / { FA C T } / { S TAT } / { GRPH } / { D YNA } / { T ABL } / { RECR } / { EQU A * 1 } / { TVM * 1 } See “8-7 PRGM Mode Command List” f or details on the variab le data (V ARS) menu. u V -WIN — Recalling V -Window values ?[...]

  • Página 54

    20070201 u ST A T — Recalling statistical data • { X } … {single-variable, paired-v ar iable x -data} • { n } / { ¯ x } / { Σ x } / { Σ x 2 } / { x σ n } / { x σ n –1 } / { minX } / { maxX } … {number of data}/{mean}/{sum}/{sum of squares}/{population standard deviation}/{sample standard de viation}/{minimum value}/{maximum v alue}[...]

  • Página 55

    20070201 u GRPH — Recalling Graph Functions • { Y } / { r } ... {rectangular coordinate or inequality function}/{polar coordinate function} • { Xt } / { Yt } ... parametr ic graph function {Xt}/{Yt} • { X } ... {X=constant graph function} (Press these ke ys bef ore inputting a value to specify a storage memory .) u D YNA — Recalling Dynam[...]

  • Página 56

    20070201 u RECR — Recalling Recursion Form ula* 1 , T able Range, and T able Content Data • { FORM } ... {recursion formula data menu} • { a n } / { a n +1 } / { a n +2 } / { b n } / { b n +1 } / { b n +2 } / { c n } / { c n +1 } / { c n +2 } ... { a n }/{ a n +1 }/{ a n +2 }/{ b n }/{ b n +1 }/{ b n +2 }/{ c n }/{ c n +1 }/{ c n +2 } express[...]

  • Página 57

    20070201 1-6 Pr ogram (PRGM) Menu T o display the program (PRGM) menu, fi rst enter the RUN • MA T or PRGM mode from the Main Menu and then press ! J (PRGM). The following are the selections a vailab le in the program (PRGM) menu. • { COM } ...... {progr am command menu} • { CTL } ....... {progr am control command menu} • { JUMP } ..... {j[...]

  • Página 58

    20070201 1-7 Syntax Help When you input a command, syntax help displa ys its syntax. u T o display syntax help 1. Input a command. • This will cause syntax inf ormation to appear. Syntax help 2. Syntax help will disappear when you press the next k ey . u T o redisplay syntax help After you input a command and press another k ey (which causes synt[...]

  • Página 59

    20070201 1-8 Using the Setup Screen The mode’ s Setup screen shows the current status of mode settings and lets you make an y changes you w ant. The f ollowing procedure shows how to change a setup . u T o change a mode setup 1. Select the icon you want and press w to enter a mode and display its initial screen. Here we will enter the RU N • MA[...]

  • Página 60

    20070201 u Frac Result (fraction result display format) • { d/c } / { ab/c } ... {improper}/{mixed} fraction u Func T ype (graph function type) Pressing one of the follo wing function ke ys also s witches the function of the v key . • { Y= } / { r= } / { Pa r m } / { X=c } ... {rectangular coordinate}/{polar coordinate}/{parametr ic coordinate}[...]

  • Página 61

    20070201 u Label (graph axis label display) • { On } / { Off } ... {display on}/{display off} u Syntax Help (syntax help display setting) • { On } / { Off } ... {display on}/{displa y off} u Display (display f ormat) • { Fix } / { Sci } / { Norm } / { Eng } ... {fi x ed number of decimal places specifi cation}/{number of signifi cant digit[...]

  • Página 62

    20070201 u Background (graph displa y background) • { None } / { PICT } ... {no background}/{graph bac kground picture specifi cation} u Sketch Line (o verlaid line type) • { } / { } / { } / { } ... {nor mal}/{thick}/{broken}/{dot} u Dynamic T ype (dynamic graph type) • { Cnt } / { Stop } ... {non-stop (continuous)}/{automatic stop after 10 [...]

  • Página 63

    20070201 * 1 The 365-da y year must be used f or date calculations in the TVM mode. Otherwise, an error occurs. * 2 Selecting “F or m” (f ormula) causes a formula in the cell to be display ed as a f ormula. The “Form” does not affect an y non-formula data in the cell. * 3 Specifi es the direction the cell cursor mo ves when you press the w[...]

  • Página 64

    20070201 1-9-1 Using Screen Capture 1-9 Using Screen Capture Any time while operating the calculator , you can capture an image of the current screen and sav e it in capture memory . u T o capture a screen image 1. Operate the calculator and displa y the screen you w ant to capture. 2. Press ! h (CAPTURE). • This displays a memory area selection [...]

  • Página 65

    20070201 1-10-1 When you k eep having prob lems… 1-10 When y ou keep having pr oblems… If you k eep having prob lems when you are trying to perform operations, try the follo wing before assuming that there is something wrong with the calculator . k Getting the Calculator Back to its Original Mode Settings 1. F rom the Main Menu, enter the SYSTE[...]

  • Página 66

    20070201 k Low Battery Message If the follo wing message appears on the displa y , immediately tur n off the calculator and replace batteries as instructed. If you continue using the calculator without replacing batteries, po wer will automatically turn off to protect memory contents. Once this happens, y ou will not be able to turn power bac k on,[...]

  • Página 67

    20070201 Manual Calculations 2-1 Basic Calculations 2-2 Special Functions 2-3 Specifying the Angle Unit and Display Format 2-4 Function Calculations 2-5 Numerical Calculations 2-6 Complex Number Calculations 2-7 Binary , Octal, Decimal, and Hexadecimal Calculations with Integers 2-8 Matrix Calculations 2 Linear/Math input mode (page 1-3-10) • Unl[...]

  • Página 68

    20070201 2-1-1 Basic Calculations 2-1 Basic Calculations k Arithmetic Calculations • Enter arithmetic calculations as they are written, from left to r ight. • Use the - key to input the min us sign before a negativ e value. • Calculations are performed internally with a 15-digit mantissa. The result is rounded to a 10-digit mantissa before it[...]

  • Página 69

    20070201 2-1-2 Basic Calculations * 1 Displayed v alues are rounded off to the place you specify . k Number of Decimal Places, Number of Signifi cant Digits, Normal Display Range [SET UP] - [Display] - [Fix] / [Sci] / [Norm] • Even after y ou specify the number of decimal places or the number of signifi cant digits, internal calculations are st[...]

  • Página 70

    20070201 Example 200 ÷ 7 × 14 = 400 Condition Operation Display 200 / 7 * 14 w 400 3 decimal places !m (SET UP) f (or c 12 times) 1 (Fix) d wJw 400.000 Calculation continues using display capacity of 10 digits 200 / 7 w * 14 w 28.571 Ans × I 400.000 • If the same calculation is performed using the specifi ed n umber of digits: 200 / 7 w 28.57[...]

  • Página 71

    20070201 2-1-4 Basic Calculations 2 T ype B functions With these functions , the value is entered and then the function k ey is pressed. x 2 , x –1 , x ! , ° ’ ”, ENG symbols, angle unit ° , r , g 3 P ower/root ^( x y ), x ' 4 Fr actions a b / c 5 Abbreviated m ultiplication format in front of π , memor y name, or v ariable name. 2 π[...]

  • Página 72

    20070201 2-1-5 Basic Calculations # Most of the calculator’s k eys are inoper ative while an error message is display ed. Press J to clear the error and display the error position (see page 1-3-5). # See the “Error Message T able” on pag e α -1-1 for inf or mation on other errors. k Multiplication Operations without a Multiplication Sign Y o[...]

  • Página 73

    20070201 • When you try to perform a calculation that causes memor y capacity to be exceeded (Memory ERROR). • When you use a command that requires an argument, without providing a v alid argument (Argument ERROR). • When an attempt is made to use an illegal dimension during matr ix calculations (Dimension ERROR). • When you are in the real[...]

  • Página 74

    20070201 2-2 Special Functions k Calculations Using V ariables Example Operation Display 193.2 a av (A) w 193.2 193.2 ÷ 23 = 8.4 av (A) / 23 w 8.4 193.2 ÷ 28 = 6.9 av (A) / 28 w 6.9 k Memor y u V ariables (Alpha Memory) This calculator comes with 28 variables as standard. Y ou can use variables to store v alues you w ant to use inside of calculat[...]

  • Página 75

    20070201 u T o display the contents of a v ariable Example T o display the contents of v ariable A Aav (A) w u T o clear a v ariable Example T o clear v ariable A A a a av (A) w u T o assign the same value to more than one v ariable [value] a [fi rst v ar iable name* 1 ] a3 (~) [last variable name* 1 ] w Example T o assign a value of 10 to v ariab[...]

  • Página 76

    20070201 u T o store a function Example T o store the function (A+B) (A–B) as function memory number 1 ( av (A) + al (B) ) ( av (A) - al (B) ) K 6 ( g ) 6 ( g ) 3 (FMEM) 1 (STO) b w JJJ u T o recall a function Example T o recall the contents of function memor y number 1 K 6 ( g ) 6 ( g ) 3 (FMEM) 2 (RCL) b w u T o recall a function as a variable [...]

  • Página 77

    20070201 2-2-4 Special Functions u T o delete a function Example T o delete the contents of function memory number 1 A K 6 ( g ) 6 ( g ) 3 (FMEM) 1 (STO) b w • Executing the store operation while the displa y is blank deletes the function in the function memory you specify . u T o use stored functions Example T o store x 3 + 1, x 2 + x into funct[...]

  • Página 78

    20070201 k Answer Function The Answ er Function automatically stores the last result you calculated b y pressing w (unless the w ke y operation results in an error). The result is stored in the ans wer memory . u T o use the contents of the answer memory in a calculation Example 123 + 456 = 579 789 – 579 = 210 A bcd+efg w hij- !- (Ans) w In the M[...]

  • Página 79

    20070201 2-2-6 Special Functions k Histor y Function The history function maintains a histor y of calculation expressions and results in the Math input mode. Up to 30 sets of calculation expressions and results are maintained. b+c w *c w Y ou can also edit the calculation expressions that are maintained b y the history function and recalculate. Thi[...]

  • Página 80

    20070201 k Stacks The unit employs memory bloc ks, called stacks , f or storage of low priority values and commands. There is a 10-le vel numer ic value stac k , a 26-lev el command stack , and a 10-lev el program subroutine stac k . An error occurs if you perf or m a calculation so complex that it exceeds the capacity of a vailable numeric v alue [...]

  • Página 81

    20070201 k Using Multistatements Multistatements are formed by connecting a n umber of individual statements for sequential ex ecution. Y ou can use multistatements in manual calculations and in programmed calculations. There are two diff erent ways that y ou can use to connect statements to form multistatements. • Colon (:) Statements that are c[...]

  • Página 82

    20070201 2-3 Specifying the Angle Unit and Display Format Before perf or ming a calculation for the fi rst time, y ou should use the Setup screen to specify the angle unit and display f or mat. k Setting the Angle Unit [SET UP] - [Angle] 1. On the Setup screen, highlight “Angle”. 2. Press the function ke y for the angle unit y ou want to speci[...]

  • Página 83

    20070201 u T o specify the number of signifi cant digits ( Sci) Example T o specify three signifi cant digits 2 (Sci) d w Press the number k ey that corresponds to the number of signifi cant digits you want to specify ( n = 0 to 9). Specifying 0 makes the n umber of signifi cant digits 10. u T o specify the normal display ( Norm 1/Norm 2) Press[...]

  • Página 84

    20070201 2-4 Function Calculations k Function Menus This calculator includes fi v e function menus that giv e you access to scientifi c functions not printed on the key panel. • The contents of the function menu differ according to the mode y ou entered from the Main Menu bef ore you pressed the K key . The f ollowing examples sho w function me[...]

  • Página 85

    20070201 * 1 The { ° ’ ” } menu operation is a vailab le only when there is a calculation result on the display . * 2 The {ENG} and {ENG} menu operations are av ailable only when there is a calculation result on the display . u Angle Units, Coor dinate Conversion, Sexagesimal Operations (ANGL) [OPTN] - [ANGL] • { ° } / { r } / { g } ... {de[...]

  • Página 86

    20070201 k Angle Units T o change the angle unit of an input value, fi rst press K 6 ( g ) 5 (ANGL). On the function ke y menu that appears, select “ ° ”, “r”, or “g”. • Be sure to specify Comp for Mode in the Setup screen. Example Operation T o conv er t 4.25 rad to degrees: 243.5070629 !m (SET UP) cccccc 1 (Deg) J 4.25 K 6 ( g ) 5[...]

  • Página 87

    20070201 k T rigonometric and In verse T rigonometric Functions • Be sure to set the angle unit before perf or ming trigonometr ic function and inverse trigonometric function calculations. • Be sure to specify Comp for Mode in the Setup screen. Example Operation sin 63° = 0.8910065242 !m (SET UP) cccccc 1 (Deg) J s 63 w cos ( π 3 rad) = 0.5 ![...]

  • Página 88

    20070201 k Logarithmic and Exponential Functions • Be sure to specify Comp for Mode in the Setup screen. Example Operation log 1.23 (log 10 1.23) = 0.08990511144 l 1.23 w log 2 8 = 3 <Line> K 4 (CALC) 6 ( g ) 4 (log a b) 2 , 8 ) w <Math> 4 (MA TH) 2 (log a b) 2 e 8 w In 90 (log e 90) = 4.49980967 I 90 w 10 1.23 = 16.98243652 (T o obta[...]

  • Página 89

    20070201 k Hyperbolic and In verse Hyperbolic Functions • Be sure to specify Comp for Mode in the Setup screen. Example Operation sinh 3.6 = 18.28545536 K 6 ( g ) 2 (HYP) 1 (sinh) 3.6 w cosh 1.5 – sinh 1.5 = 0.2231301601 = e –1.5 (Display: –1.5) (Proof of cosh x ± sinh x = e ± x ) K 6 ( g ) 2 (HYP) 2 (cosh) 1.5 - 1 (sinh) 1.5 w I!- (Ans) [...]

  • Página 90

    20070201 k Other Functions • Be sure to specify Comp for Mode in the Setup screen. Example Operation ' 2 + ' 5 = 3.65028154 !x ( ' ) 2 + !x ( ' ) 5 w (3 + i ) = 1.755317302 +0.2848487846 i <Line> !x ( ' ) (d+ ! a ( i ) ) w <Math> !x ( ' ) d+ ! a ( i ) w (–3) 2 = (–3) × (–3) = 9 ( - 3 ) xw –3 2 = [...]

  • Página 91

    20070201 k Random Number Generation (Ran#) This function generates a 10-digit truly random or sequentially random number that is g reater than zero and less than 1. • A truly random number is generated if you do not specify an ything f or the argument. Example Operation Ran# (Generates a random number .) K 6 ( g ) 3 (PROB) 4 (Ran#) w (Each press [...]

  • Página 92

    20070201 2-4-9 Function Calculations k Coordinate Con version u Rectangular Coordinates u Polar Coor dinates • With polar coordinates, θ can be calculated and displayed within a r ange of –180°< θ < 180° (radians and grads ha ve same r ange). • Be sure to specify Comp for Mode in the Setup screen. Example Operation Calculate r and ?[...]

  • Página 93

    20070201 2-4-10 Function Calculations k P ermutation and Combination u Perm utation u Combination • Be sure to specify Comp for Mode in the Setup screen. Example 1 T o calculate the possible number of different arrangements using 4 items selected from among 10 items Formula Operation 10 P 4 = 5040 10 K 6 ( g ) 3 (PROB) 2 ( n P r ) 4 w Example 2 T[...]

  • Página 94

    20070201 • Be sure to specify Comp for Mode in the Setup screen. Example Operation 2 1 73 –– + 3 –– = –– – 5 4 20 <Math> $ 2 c 5 e + !$ ( & ) 3 e 1 c 4 w <Line> 2 $ 5 + 3 $ 1 $ 4 w 1 1 ––––– + –––– – 2578 4572 = 6.066202547 × 10 –4 * 1 <Math> $ 1 c 2578 e + $ 1 c 4572 w <Line> 1 $ 2[...]

  • Página 95

    20070201 2-4-12 Function Calculations Switching between improper fraction and mixed fraction f ormat Pressing the ! M ( < ) key toggles the displa y fraction between mixed fr action and improper fraction f ormat. Switching between fraction and decimal format • If the calculation result includes a fraction, the display f or mat (improper fracti[...]

  • Página 96

    20070201 2-5 Numerical Calculations The follo wing describes the items that are av ailable in the menus y ou use when performing differential/quadr atic diff erential, integration, Σ , maximum/minimum v alue, and Solv e calculations. When the option menu is on the displa y , press 4 (CALC) to display the function analysis menu. The items of this m[...]

  • Página 97

    20070201 k Differential Calculations [OPTN] - [CALC] - [ d / dx ] T o perform differential calculations, fi rst displa y the function analysis menu, and then input the values using the syntax belo w . K 4 (CALC) 2 ( d / dx ) f ( x ) , a , tol ) ( a : point f or which you w ant to determine the derivativ e, tol : tolerance) The differentiation f or[...]

  • Página 98

    20070201 Example T o determine the derivative at point x = 3 for the function y = x 3 + 4 x 2 + x – 6, with a tolerance of “ tol ” = 1 E – 5 Input the function f ( x ). A K 4 (CALC) 2 ( d / dx ) v M d+e vx + v -g, Input point x = a for which y ou want to determine the derivative . d, Input the tolerance v alue. b E- f) w <Math> A4 (MA[...]

  • Página 99

    20070201 u Applications of Differential Calculations • Differentials can be added, subtracted, m ultiplied or divided with each other . Therefore: f ' ( a ) + g ' ( a ), f ' ( a ) × g ' ( a ), etc. • Differential results can be used in addition, subtraction, m ultiplication, and division, and in functions. 2 × f ' ( a[...]

  • Página 100

    20070201 k Quadratic Differential Calculations [OPTN] - [CALC] - [ d 2 / dx 2 ] After displaying the function analysis men u, you can input quadr atic differentials using the follo wing syntax. K 4 (CALC) 3 ( d 2 / dx 2 ) f ( x ) , a , tol ) ( a : diff erential coeffi cient point, tol : tolerance) Quadratic diff erential calculations produce an ap[...]

  • Página 101

    20070201 <Math> A4 (MA TH) 5 ( d 2 / dx 2 ) v M d e +e vx + v -g e d w u Quadratic Differential Applications • Arithmetic operations can be performed using two quadratic diff erentials. Therefore: f '' ( a ) + g '' ( a ), f '' ( a ) × g '' ( a ), etc. • The result of a quadratic differential calcul[...]

  • Página 102

    20070201 k Integration Calculations [OPTN] - [CALC] - [ ∫ dx ] T o perform integration calculations, fi rst displa y the function analysis menu and then input the values using the syntax belo w . K 4 (CALC) 4 ( ∫ dx ) f ( x ) , a , b , tol ) ( a : star t point, b : end point, tol : tolerance) Area of ∫ a b f ( x ) dx is calculated As shown i[...]

  • Página 103

    20070201 <Math> 4 (MA TH) 6 ( g ) 1 ( ∫ dx ) c vx + d v +e e b f f w u Application of Integration Calculation • Integrals can be used in addition, subtraction, multiplication or division. • Integration results can be used in addition, subtraction, multiplication or division, in functions. • Functions can be used in any of the terms ( [...]

  • Página 104

    20070201 Note the follo wing points to ensure correct integration v alues. (1) When cyclical functions for integration v alues become positiv e or negative f or different divisions, perf orm the calculation for single cycles, or divide betw een negative and positive , and then add the results together . Positive par t ( S ) Negative par t ( S ) P o[...]

  • Página 105

    20070201 k Σ Calculations [OPTN] - [CALC] - [ Σ ] T o perform Σ calculations, fi rst display the function analysis men u, and then input the values using the syntax below . K 4 (CALC) 6 ( g ) 3 ( Σ ( ) a k , k , α , β , n ) ( n : distance between partitions) Example T o calculate the follo wing: Use n = 1 as the distance between par titions.[...]

  • Página 106

    20070201 u Σ Calculation Applications • Arithmetic operations using Σ calculation expressions Expressions: nn S n = Σ a k ,T n = Σ b k k = 1 k = 1 P ossible operations: S n + T n , S n – T n , etc. • Arithmetic and function operations using Σ calculation results 2 × S n , log (S n ), etc. • Function operations using Σ calculation ter[...]

  • Página 107

    20070201 2-5-12 Numerical Calculations k Maximum/Minim um V alue Calculations [OPTN] - [CALC] - [FMin]/[FMax] After displaying the function analysis men u, you can input maxim um/minimum calculations using the formats below , and solve for the maxim um and minimum of a function within interval a < x < b . u Minimum V alue K 4 (CALC) 6 ( g ) 1[...]

  • Página 108

    20070201 2-5-13 Numerical Calculations Example 2 T o determine the maximum v alue for the interval defi ned by start point a = 0 and end point b = 3, with a precision of n = 6 for the function y = – x 2 + 2 x + 2 Input f ( x ). A K 4 (CALC) 6 ( g ) 2 (FMax) -vx +c v +c, Input the interval a = 0, b = 3. a,d, Input the precision n = 6. g) w # In t[...]

  • Página 109

    20070201 2-6 Complex Number Calculations Y ou can perform addition, subtraction, multiplication, division, parentheses calculations, function calculations, and memory calculations with complex numbers just as y ou do with the manual calculations described on pages 2-1-1 and 2-4-7. Y ou can select the complex number calculation mode b y changing the[...]

  • Página 110

    20070201 2-6-2 Complex Number Calculations # Y ou can also use ! a ( i ) in place of K 3 (CPLX) 1 ( i ). k Arithmetic Operations [OPTN] - [CPLX] - [ i ] Arithmetic operations are the same as those you use f or manual calculations . Y ou can ev en use parentheses and memory . Example 1 (1 + 2 i ) + (2 + 3 i ) A K 3 (CPLX) (b+c 1 ( i ) ) +(c+d 1 ( i [...]

  • Página 111

    20070201 2-6-3 Complex Number Calculations # The result of the argument calculation diff ers in accordance with the current angle unit setting (degrees, radians , grads). k Absolute V alue and Argument [OPTN] - [CPLX] - [Abs]/[Arg] The unit regards a complex n umber in the f orm a + b i as a coordinate on a Gaussian plane, and calculates absolute v[...]

  • Página 112

    20070201 2-6-4 Complex Number Calculations # The input/output range of comple x numbers is normally 10 digits for the mantissa and two digits for the e xponent. # When a comple x number has more than 21 digits, the real part and imaginar y par t are display ed on separate lines. # When either the real part or imaginar y par t of a complex n umber e[...]

  • Página 113

    20070201 2-6-5 Complex Number Calculations k P olar and Rectangular Form T ransformation [OPTN] - [CPLX] - [ ' r ∠ θ ]/[ ' a + bi ] Use the follo wing procedure to transf orm a complex number displa yed in rectangular form to polar form, and vice versa. Example T o transform the rectangular f orm of complex number 1 + ' 3 i to its[...]

  • Página 114

    20070201 2-7 Binar y , Octal, Decimal, and Hexadecimal Calculations with Integers Y ou can use the RU N • MA T mode and binary , octal, decimal, and hexadecimal settings to perform calculations that inv olve binar y , octal, decimal and hexadecimal v alues. Y ou can also conv er t between number systems and perf or m bitwise operations. • Y ou [...]

  • Página 115

    20070201 • The follo wing are the calculation ranges f or each of the number systems. Binary V alues P ositive: 0 < x < 111111111111111 Negativ e: 1000000000000000 < x < 1111111111111111 Octal V alues P ositive: 0 < x < 17777777777 Negativ e: 20000000000 < x < 37777777777 Decimal V alues P ositive: 0 < x < 2147483647[...]

  • Página 116

    20070201 k Selecting a Number System Y ou can specify decimal, hexadecimal, binary , or octal as the default number system using the Setup screen. u T o specify a number system for an input v alue Y ou can specify a number system for each individual v alue you input. Press 1 (d~o) to display a men u of number system symbols. Press the function key [...]

  • Página 117

    20070201 Example 2 T o input and execute 123 8 × ABC 16 , when the default n umber system is decimal or hexadecimal !m (SET UP) c 2 (Dec) J A1 (d~o) 4 (o) bcd* 2 (h) ABC * 1 w J3 (DISP) 2 ( ' Hex) w k Negative V alues and Bitwise Operations Press 2 (LOG) to display a menu of negation and bitwise oper ators. • { Neg } ... {negation}* 2 • {[...]

  • Página 118

    20070201 Example 2 T o display the result of “36 8 or 1110 2 ” as an octal value !m (SET UP) c 5 (Oct) J A dg 2 (LOG) 4 (or) J1 (d~o) 3 (b) bbba w Example 3 T o negate 2FFFED 16 !m (SET UP) c 3 (Hex) J A2 (LOG) 2 (Not) cFFFED * 1 w u Number System T ransformation Press 3 (DISP) to display a menu of n umber system transf ormation functions. • [...]

  • Página 119

    20070201 2-8-1 Matrix Calculations 2-8 Matrix Calculations F rom the Main Menu, enter the RUN • MA T mode, and press 1 ( ' MA T) to perform Matrix calculations. 26 matrix memories (Mat A through Mat Z) plus a Matr ix Answer Memory (MatAns), make it possible to perf or m the following matrix operations . • Addition, subtraction, multiplicat[...]

  • Página 120

    20070201 k Inputting and Editing Matrices Pressing 1 ( ' MA T) displays the Matrix Editor screen. Use the Matrix Editor to input and edit matrices. m × n … m (row) × n (column) matr ix None… no matrix preset • { DEL } / { DEL·A } ... deletes {a specifi c matrix}/{all matrices} • { DIM } ... {specifi es the matrix dimensions (numbe[...]

  • Página 121

    20070201 u T o input cell values Example T o input the follo wing data into Matrix B : The follo wing operation is a continuation of the e xample calculation on the previous page. b w c w d w e w f w g w (Data is input into the highlighted cell. Each time you press w , the highlighting mov es to the ne xt cell to the right.) T o exit the Matrix inp[...]

  • Página 122

    20070201 u Deleting Matrices Y ou can delete either a specifi c matrix or all matrices in memor y . u T o delete a specifi c matrix 1. While the Matrix Editor is on the display , use f and c to highlight the matr ix you want to delete. 2. Press 1 (DEL). 3. Press 1 (Y es) to delete the matr ix or 6 (No) to abor t the operation without deleting any[...]

  • Página 123

    20070201 k Matrix Cell Operations Use the follo wing procedure to prepare a matrix for cell oper ations. 1. While the Matrix Editor is on the display , use f and c to highlight the name of the matrix you want to use . Y ou can jump to a specifi c matrix by inputting the letter that corresponds to the matrix name. Inputting a i (N), for e xample, j[...]

  • Página 124

    20070201 u T o calculate the scalar multiplication of a ro w Example T o calculate the product of r ow 2 of the f ollowing matrix and the scalar 4 : Matrix A = 1 2 3 4 5 6 1 (R-OP) 2 ( × Rw) Input multiplier v alue. e w Specify row number . c w 6 (EXE) (or w ) u T o calculate the scalar multiplication of a r ow and add the result to another row Ex[...]

  • Página 125

    20070201 u T o add two r ows together Example T o add ro w 2 to ro w 3 of the follo wing matrix : Matrix A = 1 2 3 4 5 6 1 (R-OP) 4 (Rw+) Specify number of row to be added. c w Specify number of row to be added to . d w 6 (EXE) (or w ) u Row Operations • { DEL } ... {delete row} • { INS } ... {inser t row} • { ADD } ... {add row} u T o delete[...]

  • Página 126

    20070201 u T o insert a row Example T o insert a new row between r ows one and two of the follo wing matrix : Matrix A = 1 2 3 4 5 6 c 2 (RO W) 2 (INS) u T o add a ro w Example T o add a new r ow belo w ro w 3 of the following matrix : Matrix A = 1 2 3 4 5 6 cc 2 (RO W) 3 (ADD) 2-8-8 Matrix Calculations[...]

  • Página 127

    20070201 2-8-9 Matrix Calculations u Column Operations • { DEL } ... {delete column} • { INS } ... {inser t column} • { ADD } ... {add column} u T o delete a column Example T o delete column 2 of the follo wing matrix : Matrix A = 1 2 3 4 5 6 e 3 (COL) 1 (DEL) u T o insert a column Example T o insert a new column between columns 1 and 2 of th[...]

  • Página 128

    20070201 u T o add a column Example T o add a new column to the right of column 2 of the f ollowing matrix : Matrix A = 1 2 3 4 5 6 e 3 (COL) 3 (ADD) k Modifying Matrices Using Matrix Commands [OPTN] - [MA T] u T o display the matrix commands 1. F rom the Main Menu, enter the RUN • MA T mode. 2. Press K to display the option menu. 3. Press 2 (MA [...]

  • Página 129

    20070201 u Matrix Data Input Format [OPTN] - [MA T] - [Mat] The follo wing shows the f or mat you should use when inputting data to create a matrix using the Mat command. = [ [a 11 , a 12 , ..., a 1 n ] [a 21 , a 22 , ..., a 2 n ] .... [a m 1 , a m 2 , ..., a mn ] ] → Mat [letter A through Z] Example 1 T o input the follo wing data as Matrix A : [...]

  • Página 130

    20070201 u T o input an identity matrix [OPTN] - [MA T] - [Iden] Use the Identity command to create an identity matrix. Example 2 T o create a 3 × 3 identity matrix as Matrix A K 2 (MA T) 6 ( g ) 1 (Iden) d a 6 ( g ) 1 (Mat) av (A) w Number of rows/columns u T o check the dimensions of a matrix [OPTN] - [MA T] - [Dim] Use the Dim command to check [...]

  • Página 131

    20070201 2-8-13 Matrix Calculations u Modifying Matrices Using Matrix Commands Y ou can also use matrix commands to assign values to and recall values from an e xisting matrix, to fi ll in all cells of an e xisting matrix with the same value, to combine two matrices into a single matrix, and to assign the contents of a matrix column to a list fi [...]

  • Página 132

    20070201 u To fi ll a matrix with identical values and to combine two matrices into a single matrix [OPTN] - [MA T] - [Fill]/[Aug] Use the Fill command to fi ll all the cells of an e xisting matrix with an identical value and the Augment command to combine tw o e xisting matrices into a single matr ix. Example 1 T o fi ll all of the cells of Mat[...]

  • Página 133

    20070201 u T o assign the contents of a matrix column to a list [OPTN] - [MA T] - [M → L] Use the following f or mat with the Mat → List command to specify a column and a list. Mat → List (Mat X, m ) → List n X = matrix name (A through Z, or Ans) m = column number n = list number Example T o assign the contents of column 2 of the follo wing[...]

  • Página 134

    20070201 k Matrix Calculations [OPTN] - [MA T] Use the matrix command menu to perform matrix calculation operations. u T o display the matrix commands 1. F rom the Main Menu, enter the RUN • MA T mode. 2. Press K to display the option menu. 3. Press 2 (MA T) to display the matrix command menu. The follo wing describes only the matrix commands tha[...]

  • Página 135

    20070201 u Matrix Arithmetic Operations [OPTN] - [MA T] - [Mat]/[Iden] Example 1 T o add the follo wing two matrices (Matrix A + Matrix B) : A K 2 (MA T) 1 (Mat) av (A) + 1 (Mat) al (B) w Example 2 Calculate the product to the f ollowing matrix using a m ultiplier value of 5 : Matrix A = 1 2 3 4 A f K 2 (MA T) 1 (Mat) av (A) w Example 3 T o multipl[...]

  • Página 136

    20070201 u Determinant [OPTN] - [MA T] - [Det] Example Obtain the determinant for the f ollowing matrix : Matrix A = 1 2 3 4 5 6 −1 −2 0 K 2 (MA T) 3 (Det) 1 (Mat) av (A) w u Matrix T ransposition [OPTN] - [MA T] - [T rn] A matrix is transposed when its rows become columns and its columns become rows . Example T o transpose the follo wing matri[...]

  • Página 137

    20070201 u Matrix In version [OPTN] - [MA T] - [ x –1 ] Example T o in vert the following matrix : Matrix A = 1 2 3 4 K 2 (MA T) 1 (Mat) av (A) ! ) ( x –1 ) w u Squaring a Matrix [OPTN] - [MA T] - [ x 2 ] Example T o square the follo wing matrix : Matrix A = 1 2 3 4 K 2 (MA T) 1 (Mat) av (A) xw 2-8-19 Matrix Calculations # Only square matrices [...]

  • Página 138

    20070201 u Raising a Matrix to a P ower [OPTN] - [MA T] - [ ] Example T o raise the follo wing matrix to the third power : Matrix A = 1 2 3 4 K 2 (MA T) 1 (Mat) av (A) M d w u Determining the Absolute V alue, Integ er P art, Fraction Part, and Maximum Integer of a Matrix [OPTN] - [NUM] - [Abs]/[Frac]/[Int]/[Intg] Example T o determine the absolute [...]

  • Página 139

    20070201 2-8-21 Matrix Calculations k P erforming Matrix Calculations Using Natural Input u T o specify the dimensions (siz e) of a matrix 1. In the RUN • MA T mode, press !m (SET UP) 1 (Math) J . 2. Press 4 (MA TH) to display the MA TH menu. 3. Press 1 (MA T) to display the f ollowing menu. • { 2 × 2 } … {inputs a 2 × 2 matr ix} • { 3 ×[...]

  • Página 140

    20070201 2-8-22 Matrix Calculations u T o input cell values Example T o perform the calculation sho wn below The follo wing operation is a continuation of the e xample calculation on the previous page. b e $ b c c ee dd e $ bd c e ee !x ( ' ) f ee g e *i w u T o assign a matrix created using natural input to a MA T mode matrix Example T o assi[...]

  • Página 141

    20070201 List Function A list is a storage place f or multiple data items. This calculator lets you store up to 26 lists in a single fi le, and you can store up to six fi les in memory . Stored lists can be used in arithmetic and statistical calculations, and f or graphing. Element number Display r ange Cell Column List name Sub name Row 3-1 Inpu[...]

  • Página 142

    20070201 3-1 Inputting and Editing a List When you enter the S TAT mode, the “List Editor” will appear fi rst. Y ou can use the List Editor to input data into a list and to perform a variety of other list data operations . u T o input values one-b y-one Use the cursor ke ys to mov e the highlighting to the list name, sub name or cell y ou want[...]

  • Página 143

    20070201 u T o batch input a series of values 1. Use the cursor ke ys to mov e the highlighting to another list. 2. Press ! * ( { ), and then input the values y ou want, pressing , between each one. Press ! / ( } ) after inputting the fi nal v alue. ! * ( { ) g,h,i ! / ( } ) 3. Press w to store all of the values in your list. w Y ou can also use l[...]

  • Página 144

    20070201 k Editing List V alues u T o change a cell value Use the cursor ke ys to mov e the highlighting to the cell whose value y ou want to change. Input the new v alue and press w to replace the old data with the new one. u T o edit the contents of a cell 1. Use the cursor keys to mov e the highlighting to the cell whose contents you want to edi[...]

  • Página 145

    20070201 u T o delete all cells in a list Use the follo wing procedure to delete all the data in a list. 1. Use the cursor ke y to mov e the highlighting to any cell of the list whose data y ou want to delete. 2. Pressing 6 ( g ) 4 (DEL • A) causes a confi rmation message to appear . 3. Press 1 (Y es) to delete all the cells in the selected list[...]

  • Página 146

    20070201 3-1-5 Inputting and Editing a List k Naming a List Y ou can assign List 1 through List 26 “sub names” of up to eight bytes each. u T o name a list 1. On the Setup screen, highlight “Sub Name” and then press 1 (On) J . 2. Use the cursor ke ys to mov e the highlighting to the SUB cell of the list you w ant to name. 3. T ype in the na[...]

  • Página 147

    20070201 k Sor ting List V alues Y ou can sor t lists into either ascending or descending order . The highlighting can be located in any cell of the list. u T o sort a single list Ascending order 1. While the lists are on the screen, press 6 ( g ) 1 (TOOL) 1 (SRT • A). 2. The prompt “Ho w Many Lists?:” appears to ask how many lists you w ant [...]

  • Página 148

    20070201 u T o sort multiple lists Y ou can link multiple lists together for a sort so that all of their cells are rearranged in accordance with the sor ting of a base list. The base list is sorted into either ascending order or descending order , while the cells of the linked lists are arranged so that the relative relationship of all the rows is [...]

  • Página 149

    20070201 3-1-8 Inputting and Editing a List Descending order Use the same procedure as that f or the ascending order sor t. The only diff erence is that you should press 2 (SR T • D) in place of 1 (SRT • A). # Y ou can specify a value from 1 to 6 as the number of lists f or sor ting. # If y ou specify a list more than once f or a single sor t o[...]

  • Página 150

    20070201 3-2 Manipulating List Data List data can be used in arithmetic and function calculations. In addition, various list data manipulation functions make manipulation of list data quic k and easy . Y ou can use list data manipulation functions in the RU N • M AT , ST A T , T ABLE , EQU A and PRGM modes. k Accessing the List Data Manipulation [...]

  • Página 151

    20070201 u T o count the number of data items in a list [OPTN] - [LIST] - [Dim] K 1 (LIST) 3 (Dim) 1 (List) <list number 1-26> w • The number of cells a list contains is its “dimension. ” Example T o count the number of values in List 1 (36, 16, 58, 46, 56) A K 1 (LIST) 3 (Dim) 1 (List) b w u T o create a list or matrix by specifying th[...]

  • Página 152

    20070201 3-2-3 Manipulating List Data Example T o create a 2-ro w × 3-column matrix (each cell of which contains 0) in Matrix A A! * ( { ) c,d ! / ( } ) a K 1 (LIST) 3 (Dim) K 2 (MA T) 1 (Mat) av (A) w The f ollowing sho ws the new contents of Mat A. u T o replace all data items with the same value [OPTN] - [LIST] - [Fill] K 1 (LIST) 4 (Fill) <[...]

  • Página 153

    20070201 3-2-4 Manipulating List Data u To fi nd the minimum value in a list [OPTN] - [LIST] - [Min] K 1 (LIST) 6 ( g ) 1 (Min) 6 ( g ) 6 ( g ) 1 (List) <list number 1-26> ) w Example T o fi nd the minimum value in List 1 (36, 16, 58, 46, 56) A K 1 (LIST) 6 ( g ) 1 (Min) 6 ( g ) 6 ( g ) 1 (List) b) w u To fi nd the maximum value in a list [...]

  • Página 154

    20070201 u T o calculate the mean of data items [OPTN] - [LIST] - [Mean] K 1 (LIST) 6 ( g ) 3 (Mean) 6 ( g ) 6 ( g ) 1 (List) <list number 1-26> ) w Example T o calculate the mean of data items in List 1 (36, 16, 58, 46, 56) A K 1 (LIST) 6 ( g ) 3 (Mean) 6 ( g ) 6 ( g ) 1 (List) b) w u T o calculate the mean of data items of specifi ed frequ[...]

  • Página 155

    20070201 u T o calculate the median of data items of specifi ed frequenc y [OPTN] - [LIST] - [Med] This procedure uses two lists: one that contains values and one that indicates the frequency (number of occurrences) of each v alue. The frequency of the data in Cell 1 of the fi rst list is indicated by the v alue in Cell 1 of the second list, etc.[...]

  • Página 156

    20070201 u T o calculate the product of values in a list [OPTN] - [LIST] - [Prod] K 1 (LIST) 6 ( g ) 6 ( g ) 2 (Prod) 6 ( g ) 1 (List)<list number 1-26> w Example T o calculate the product of v alues in List 1 (2, 3, 6, 5, 4) A K 1 (LIST) 6 ( g ) 6 ( g ) 2 (Prod) 6 ( g ) 1 (List) b w u T o calculate the cumulative frequency of each data item [...]

  • Página 157

    20070201 Example T o calculate the percentage represented b y each data item in List 1 (2, 3, 6, 5, 4) A K 1 (LIST) 6 ( g ) 6 ( g ) 4 (%) 6 ( g ) 1 (List) b w u T o calculate the differences between neighboring data inside a list [OPTN] - [LIST] - [ A ] K 1 (LIST) 6 ( g ) 6 ( g ) 5 ( A )<list number 1-26> w • The result of this operation is[...]

  • Página 158

    20070201 3-3 Arithmetic Calculations Using Lists Y ou can perform arithmetic calculations using two lists or one list and a numeric value. Calculation results are stored in ListAns Memory . k Error Messages • A calculation inv olving two lists perf orms the operation between corresponding cells. Because of this, an error occurs if the two lists d[...]

  • Página 159

    20070201 u T o directly input a list of v alues Y ou can also directly input a list of values using {, }, and , . Example 1 T o input the list: 56, 82, 64 ! * ( { ) fg,ic, ge ! / ( } ) Example 2 T o multipl y List 3 ( = 41 65 22 ) by the list 6 0 4 K 1 (LIST) 1 (List) d* ! * ( { ) g,a,e ! / ( } ) w The resulting list 246 0 88 is stored in ListAns M[...]

  • Página 160

    20070201 u T o recall the value in a specifi c list cell Y ou can recall the value in a specifi c list cell and use it in a calculation. Specify the cell number by enclosing it inside square br ack ets. Example T o calculate the sine of the value stored in Cell 3 of List 2 s K 1 (LIST) 1 (List) c ! + ( [ ) d ! - ( ] ) w u T o input a value into a[...]

  • Página 161

    20070201 k Graphing a Function Using a List When using the graphing functions of this calculator , you can input a function such as Y1 = List 1 X. If List 1 contains the values 1, 2, 3, this function will produces three graphs: Y = X, Y = 2X, Y = 3X. There are cer tain limitations on using lists with graphing functions. Example T o input the data 1[...]

  • Página 162

    20070201 5. Press b w . 6. Enter the S TAT mode to confi rm that T ABLE mode column Y1 has been copied to List 1. k Perf orming Scientifi c Function Calculations Using a List Lists can be used just as numeric values are in scientifi c function calculations. When the calculation produces a list as a result, the list is stored in ListAns Memory . [...]

  • Página 163

    20070201 3-4-1 Switching Between List Files 3-4 Switching Between List Files Y ou can store up to 26 lists (List 1 to List 26) in each fi le (File 1 to File 6). A simple operation lets you s witch between list fi les. u T o switch between list fi les 1. From the Main Menu, enter the ST A T mode. Press !m (SET UP) to display the S TAT mode Setup [...]

  • Página 164

    20070201 Equation Calculations Y our graphic calculator can perf or m the following three types of calculations: • Simultaneous linear equations • Quadratic and cubic equations • Solve calculations From the Main Menu, enter the EQU A mode. • { SIML } ... {linear equation with 2 to 6 unknowns} • { POL Y } ... {degree 2 or 3 equation} • {[...]

  • Página 165

    20070201 4-1-1 Simultaneous Linear Equations 4-1 Simultaneous Linear Equations Description Y ou can solve simultaneous linear equations with tw o to six unknowns. • Simultaneous Linear Equation with T wo Unknowns: a 1 x 1 + b 1 x 2 = c 1 a 2 x 1 + b 2 x 2 = c 2 • Simultaneous Linear Equation with Three Unknowns: a 1 x 1 + b 1 x 2 + c 1 x 3 = d [...]

  • Página 166

    20070201 4-1-2 Simultaneous Linear Equations Example T o solve the follo wing simultaneous linear equations f or x , y , and z 4 x + y – 2 z = – 1 x + 6 y + 3 z = 1 – 5 x + 4 y + z = – 7 Procedure 1 m EQUA 2 1 (SIML) 2 (3) 3 e w b w- c w- b w b w g w d w b w - f w e w b w- h w 4 1 (SOL V) Result Screen # Internal calculations are performed [...]

  • Página 167

    20070201 4-2-1 Quadratic and Cubic Equations # Inter nal calculations are performed using a 15-digit mantissa, but results are displa yed using a 10-digit mantissa and a 2-digit exponent. # It ma y take considerable time f or the calculation result of cubic equations to appear on the display . # An error occurs if the calculator is unab le to fi n[...]

  • Página 168

    20070201 4-2-2 Quadratic and Cubic Equations Example T o solve the cubic equation (Angle unit = Rad) x 3 – 2 x 2 – x + 2 = 0 Procedure 1 m EQUA 2 2 (POL Y) 2 (3) 3 b w- c w- b w c w 4 1 (SOL V) Result Screen Multiple Solutions (Example: x 3 + 3 x 2 + 3 x + 1 = 0) Complex Number Solution (Example: x 3 + 2 x 2 + 3 x + 2 = 0) Complex Mode: Real (p[...]

  • Página 169

    20070201 4-3-1 Solve Calculations 4-3 Solve Calculations Description The Solve Calculation mode lets y ou determine the value of any v ariable in a f ormula without having to solv e the equation. Set Up 1. F rom the Main Menu, enter the EQU A mode. Execution 2. Select the Solve Calculation mode , and input the equation as it is written. If you do n[...]

  • Página 170

    20070201 4-3-2 Solve Calculations Example An object thro wn into the air at initial velocity V takes time T to reach height H. Use the follo wing form ula to solve for initial velocity V when H = 14 (meters), T = 2 (seconds) and gravitational acceleration is G = 9.8 (m/s 2 ). H = VT – 1/2 GT 2 Procedure 1 m EQUA 2 3 (SOL V) a M (H) ! . (=) a c (V[...]

  • Página 171

    20070201 4-4 What to Do When an Error Occur s u Error during coeffi cient value input Press the J key to clear the error and return to the value that w as registered for the coeffi cient bef ore you input the value that generated the error . T r y inputting a new v alue again. u Error during calculation Press the J key to clear the error and disp[...]

  • Página 172

    20070201 Graphing Sections 5-1 and 5-2 of this chapter provide basic inf or mation you need to kno w in order to dra w a graph. The remaining sections describe more advanced gr aphing f eatures and functions. Select the icon in the Main Menu that suits the type of gr aph you want to dra w or the type of table you w ant to generate . • GRAPH … G[...]

  • Página 173

    20070201 5-1-1 Sample Graphs 5-1 Sample Graphs k How to dra w a simple graph (1) Description T o draw a graph, simply input the applicab le function. Set Up 1. From the Main Menu, enter the GRAPH mode. Execution 2. Input the function you want to graph. Here y ou would use the V -Window to specify the range and other parameters of the graph. See 5-2[...]

  • Página 174

    20070201 5-1-2 Sample Graphs Example T o graph y = 3 x 2 Procedure 1 m GRAPH 2 d vxw 3 6 (DRAW) (or w ) Result Screen # Pressing A while a graph is on the display will return to the screen in step 2.[...]

  • Página 175

    20070201 5-1-3 Sample Graphs k How to dra w a simple graph (2) Description Y ou can store up to 20 functions in memor y and then select the one you want f or graphing. Set Up 1. From the Main Menu, enter the GRAPH mode. Execution 2. Specify the function type and input the function whose graph you want to dr aw . Y ou can use the GRAPH mode to dra w[...]

  • Página 176

    20070201 5-1-4 Sample Graphs Example Input the functions shown below and dra w their graphs Y1 = 2 x 2 – 3, r 2 = 3sin2 θ Procedure 1 m GRAPH 2 3 (TYPE) 1 (Y=) c vx -d w 3 (TYPE) 2 ( r =) d s c vw 3 6 (DRAW) Result Screen (P arametric) (Inequality)[...]

  • Página 177

    20070201 5-1-5 Sample Graphs k How to dra w a simple graph (3) Description Use the follo wing procedure to graph the function of a par abola, circle, ellipse, or h yperbola. Set Up 1. From the Main Menu, enter the CONICS mode. Execution 2. Use the cursor fc keys to specify one of the function type as f ollows. Graph T ype Function Par abola X = A ([...]

  • Página 178

    20070201 5-1-6 Sample Graphs Example Graph the circ le (X–1) 2 + (Y–1) 2 = 2 2 Procedure 1 m CONICS 2 cccc w 3 b w b w c w 4 6 (DRAW) Result Screen (Parabola) (Ellipse) (Hyperbola)[...]

  • Página 179

    20070201 k How to dra w a simple graph (4) Description Y ou can specify the graph line style, if y ou want. Set Up 1. From the Main Men u, enter the GRAPH mode. Execution 2. Input the function you want to graph. Here y ou would use the V -Window to specify the range and other parameters of the graph. See 5-2-1. 3. Select the line style. 4 (STYL) 1 [...]

  • Página 180

    20070201 Example T o graph y = 3 x 2 Procedure 1 m GRAPH 2 3 (TYPE) 1 (Y=) d vxw 3 f 4 (STYL) 3 ( ) J 4 6 (DRAW) (or w ) Result Screen (Normal) (Thick) (Dotted) 5-1-8 Sample Graphs[...]

  • Página 181

    20070201 5-2 Controlling What Appears on a Graph Screen k V -Window (View Window) Settings Use the View Windo w to specify the range of the x - and y -axes, and to set the spacing between the increments on each axis. Y ou should always set the V -Window parameters y ou want to use bef ore graphing. u T o make V -Window settings 1. From the Main Men[...]

  • Página 182

    20070201 5-2-2 Controlling What Appears on a Graph Screen u V -Window Setting Precautions • Inputting zero for T θ ptch causes an error . • Any illegal input (out of range v alue, negativ e sign without a value , etc.) causes an error . • When T θ max is less than T θ min, T θ ptch becomes negative. • Y ou can input expressions (such as[...]

  • Página 183

    20070201 k Initializing and Standardizing the V -Window u T o initialize the V -Window 1. From the Main Menu, enter the GRAPH mode. 2. Press !3 (V -WIN). This displa ys the V -Window setting screen. 3. Press 1 (INIT) to initialize the V -Window . Xmin = –6.3, Xmax = 6.3, Xscale = 1, Xdot = 0.1 Ymin = –3.1, Ymax = 3.1, Yscale = 1 T θ min = 0, T[...]

  • Página 184

    20070201 k V -Window Memory Y ou can store up to six sets of V -Window settings in V -Window memory for recall when y ou need them. u T o store V -Window settings 1. From the Main Menu, enter the GRAPH mode. 2. Press !3 (V -WIN) to display the V -Window setting screen, and input the values y ou want. 3. Press 4 (STO) to displa y the pop-up window .[...]

  • Página 185

    20070201 k Specifying the Graph Range Description Y ou can defi ne a range (start point, end point) for a function bef ore graphing it. Set Up 1. From the Main Menu, enter the GRAPH mode. 2. Make V -Window settings. Execution 3. Specify the function type and input the function. The following is the syntax f or function input. Function , ! + ( [ )S[...]

  • Página 186

    20070201 5-2-6 Controlling What Appears on a Graph Screen Example Graph y = x 2 + 3 x – 2 within the range – 2 < x < 4 Use the follo wing V -Window settings. Xmin = –3, Xmax = 5, Xscale = 1 Ymin = –10, Ymax = 30, Yscale = 5 Procedure 1 m GRAPH 2 !3 (V -WIN) - d w f w b w c - ba w da w f wJ 3 3 (TYPE) 1 (Y=) vx +d v -c, ! + ( [ ) - c,e[...]

  • Página 187

    20070201 5-2-7 Controlling What Appears on a Graph Screen k Zoom Description This function lets you enlarge and reduce the gr aph on the screen. Set Up 1. Draw the graph. Execution 2. Specify the zoom type. !2 (ZOOM) 1 (BO X) ... Box z oom Dra w a box around a displa y area, and that area is enlarged to fi ll the entire screen. 2 (F ACT) 3 (IN)/ 4[...]

  • Página 188

    20070201 5-2-8 Controlling What Appears on a Graph Screen # Y ou must specify two different points f or box zoom, and the two points cannot be on a straight line vertically or horizontally from each other . Example Graph y = ( x + 5)( x + 4)( x + 3), and then perf orm a box zoom. Use the follo wing V -Window settings. Xmin = –8, Xmax = 8, Xscale [...]

  • Página 189

    20070201 5-2-9 Controlling What Appears on a Graph Screen k Factor Zoom Description With factor z oom, you can z oom in or out, centered on the current cursor position. Set Up 1. Draw the graph. Execution 2. Press !2 (ZOOM) 2 (F ACT) to open a pop-up windo w for specifying the x -axis and y -axis zoom factor . Input the values you w ant and then pr[...]

  • Página 190

    20070201 5-2-10 Controlling What Appears on a Graph Screen Example Enlarge the graphs of the two e xpressions shown below fi ve times on both the x - and y -axis to see if they are tangent. Y1 = ( x + 4)( x + 1)( x – 3), Y2 = 3 x + 22 Use the follo wing V -Window settings. Xmin = –8, Xmax = 8, Xscale = 1 Ymin = –30, Ymax = 30, Yscale = 5 Pro[...]

  • Página 191

    20070201 5-3-1 Drawing a Gr aph 5-3 Drawing a Graph Y ou can store up to 20 functions in memor y . Functions in memory can be edited, recalled, and graphed. k Specifying the Graph T ype Before y ou can store a graph function in memor y , you must fi rst specify its g raph type. 1. While the Graph relation list is on the display , press 3 (TYPE) to[...]

  • Página 192

    20070201 5-3-2 Drawing a Gr aph u T o store a polar coordinate function ( r =) * 1 Example T o store the follo wing expression in memory area r 2 : r = 5 sin3 θ 3 (TYPE) 2 ( r =) (Specifi es polar coordinate e xpression.) f s d v (Inputs expression.) w (Stores expression.) u T o store a parametric function * 2 Example T o store the follo wing fun[...]

  • Página 193

    20070201 5-3-3 Drawing a Gr aph u T o store an X = constant expression * 1 Example T o store the follo wing expression in memory area X4 : X = 3 3 (TYPE) 4 (X=c) (Specifi es X = constant e xpression.) d (Inputs expression.) w (Stores expression.) • Inputting X, Y , T , r , or θ for the constant in the abov e procedures causes an error. u T o st[...]

  • Página 194

    20070201 u T o assign values to the coeffi cients and variables of a graph function Example T o assign the values −1, 0, and 1 to variable A in Y = AX 2 −1, and dra w a graph for each v alue 3 (TYPE) 1 (Y=) av (A) vx -b w J 4 (GRPH) 1 (Y) b( av (A) ! . (=) - b) w J 4 (GRPH) 1 (Y) b( av (A) ! . (=) a) w J 4 (GRPH) 1 (Y) b( av (A) ! . (=) b) w f[...]

  • Página 195

    20070201 5-3-5 Drawing a Gr aph • If you do not specify a v ariable name (v ariable A in the abov e ke y operation), the calculator automatically uses one of the default v ar iables listed below . Note that the default v ar iable used depends on the memory area type where you are storing the graph function. Memory Area Type Default V ariable Y n [...]

  • Página 196

    20070201 k Editing and Deleting Functions u T o edit a function in memory Example T o change the expression in memory area Y1 from y = 2 x 2 – 5 to y = 2 x 2 – 3 e (Displays cursor .) eeeee D d (Changes contents.) w (Stores new graph function.) u T o change the line style of a graph function 1. On the Graph relation list screen, use f and c to [...]

  • Página 197

    20070201 u T o change the type of a function * 1 1. While the Graph relation list is on the display , press f or c to mov e the highlighting to the area that contains the function whose type you w ant to change. 2. Press 3 (TYPE) 5 (CONV). 3. Select the function type you want to change to . Example T o change the function in memory area Y1 from y =[...]

  • Página 198

    20070201 k Selecting Functions for Graphing u T o specify the draw/non-draw status of a graph 1. On the graph relation list, use f and c to highlight the relation you do not want to graph. 2. Press 1 (SEL). • Each press of 1 (SEL) toggles graphing on and off . 3. Press 6 (DRAW). Example T o select the follo wing functions for drawing : Y1 = 2 x 2[...]

  • Página 199

    20070201 k Graph Memory Graph memory lets you store up to 20 sets of graph function data and recall it later when y ou need it. A single sav e operation sa ves the f ollowing data in graph memory . • All graph functions in the currently displa yed Gr aph relation list (up to 20) • Graph types • Function graph line inf ormation • Draw/non-dr[...]

  • Página 200

    20070201 5-4 Storing a Graph in Picture Memor y Y ou can sav e up to 20 graphic images in picture memory for later recall. Y ou can ov erdraw the graph on the screen with another gr aph stored in picture memory . u T o store a graph in picture memory 1. After graphing in GRAPH mode, press K 1 (PICT) 1 (STO) to displa y the pop-up window . 2. Press [...]

  • Página 201

    20070201 5-5 Drawing T w o Graphs on the Same Screen k Copying the Graph to the Sub-screen Description Dual Graph lets you split the screen into tw o par ts. Then you can g raph two diff erent functions in each for comparison, or dra w a normal size graph on one side and its enlarged version on the other side . This makes Dual Graph a po werful gr [...]

  • Página 202

    20070201 Example Graph y = x ( x + 1)( x – 1) in the main screen and sub-screen. Use the follo wing V -Window settings. (Main Screen) Xmin = –2, Xmax = 2, Xscale = 0.5 Ymin = –2, Ymax = 2, Yscale = 1 (Sub-screen) Xmin = –4, Xmax = 4, Xscale = 1 Ymin = –3, Ymax = 3, Yscale = 1 Procedure 1 m GRAPH 2 !m (SET UP) cc 1 (G+G) J 3 !3 (V -WIN) - [...]

  • Página 203

    20070201 k Graphing T wo Different Functions Description Use the follo wing procedure to graph diff erent functions in the main screen and sub-screen. Set Up 1. From the Main Menu, enter the GRAPH mode. 2. On the Setup screen, select G+G for Dual Screen. 3. Make V -Window settings for the main screen. Press 6 (RIGHT) to display the sub-gr aph setti[...]

  • Página 204

    20070201 Example Graph y = x ( x + 1)( x – 1) in the main screen, and y = 2 x 2 – 3 in the sub- screen. Use the follo wing V -Window settings. (Main Screen) Xmin = –4, Xmax = 4, Xscale = 1 Ymin = –5, Ymax = 5, Yscale = 1 (Sub-screen) Xmin = –2, Xmax = 2, Xscale = 0.5 Ymin = –2, Ymax = 2, Yscale = 1 Procedure 1 m GRAPH 2 !m (SET UP) cc 1[...]

  • Página 205

    20070201 k Using Zoom to Enlarge the Sub-screen Description Use the follo wing procedure to enlarge the main screen graph and then mo ve it to the sub- screen. Set Up 1. From the Main Menu, enter the GRAPH mode. 2. On the Setup screen, select G+G for Dual Screen. 3. Make V -Window settings for the main screen. Execution 4. Input the function and dr[...]

  • Página 206

    20070201 Example Draw the graph y = x ( x + 1)( x – 1) in the main screen, and then use Box Zoom to enlar ge it. Use the follo wing V -Window settings. (Main Screen) Xmin = –2, Xmax = 2, Xscale = 0.5 Ymin = –2, Ymax = 2, Yscale = 1 Procedure 1 m GRAPH 2 !m (SET UP) cc 1 (G+G) J 3 !3 (V -WIN) - c w c w a.f w c - c w c w b wJ 4 3 (TYPE) 1 (Y=) [...]

  • Página 207

    20070201 5-6-1 Manual Graphing 5-6 Manual Graphing k Rectangular Coordinate Graph Description Inputting the Graph command in the RUN • MA T mode enables dra wing of rectangular coordinate graphs . Set Up 1. From the Main Menu, enter the RU N • MA T mode. 2. Make V -Window settings. Execution 3. Input the commands for drawing the rectangular coo[...]

  • Página 208

    20070201 5-6-2 Manual Graphing Example Graph y = 2 x 2 + 3 x – 4 Use the follo wing V -Window settings. Xmin = –5, Xmax = 5, Xscale = 2 Ymin = –10, Ymax = 10, Yscale = 5 Procedure 1 m RUN • MA T 2 !3 (V -WIN) - f w f w c w c - ba w ba w f wJ 3 !4 (SKTCH) 1 (Cls) w 5 (GRPH) 1 (Y=) 4 c vx +d v -e w Result Screen[...]

  • Página 209

    20070201 5-6-3 Manual Graphing k Integration Graph Description Inputting the Graph command in the RUN • MA T mode enables gr aphing of functions produced by an integr ation calculation. The calculation result is shown in the low er left corner of the display , and the calculation range is cross plot type. Set Up 1. From the Main Menu, enter the R[...]

  • Página 210

    20070201 5-6-4 Manual Graphing Example Graph the integration ∫ 1 –2 ( x + 2)( x – 1)( x – 3) dx . Use the follo wing V -Window settings. Xmin = –4, Xmax = 4, Xscale = 1 Ymin = –8, Ymax = 12, Yscale = 5 Procedure 1 m RUN • MA T 2 !3 (V -WIN) - e w e w b w c - i w bc w f wJ 3 !4 (SKTCH) 1 (Cls) w 5 (GRPH) 5 (G • ∫ dx ) 4 ( v +c)( v [...]

  • Página 211

    20070201 5-6-5 Manual Graphing k Drawing Multiple Graphs on the Same Screen Description Use the follo wing procedure to assign v arious values to a variab le contained in an expression and ov erwrite the resulting graphs on the screen. Set Up 1. From the Main Menu, enter the GRAPH mode. 2. On the Setup screen, change the “Dual Screen” setting t[...]

  • Página 212

    20070201 5-6-6 Manual Graphing Example T o graph y = A x 2 – 3 as the value of A changes in the sequence 3, 1, –1. Use the follo wing V -Window settings. Xmin = –5, Xmax = 5, Xscale = 1 Ymin = –10, Ymax = 10, Yscale = 2 Procedure 1 m GRAPH 2 !m (SET UP) cc 3 (Off) J 3 !3 (V -WIN) - f w f w b w c - ba w ba w c wJ 4 3 (TYPE) 1 (Y=) av (A) vx [...]

  • Página 213

    20070201 5-6-7 Manual Graphing k Using Copy and P aste to Graph a Function Description Y ou can graph a function by cop ying it to the clipboard, and then pasting it into the graph screen. There are two types of functions you can paste into the g raph screen. T ype 1 (Y= expression) A function with the Y variable to the left of the equal sign is gr[...]

  • Página 214

    20070201 5-6-8 Manual Graphing Example While the graph of y = 2 x 2 + 3 x – 4 is currently display ed, to paste the previously copied function Y=X from the c lipboard Use the follo wing V -Window settings. Xmin = –5, Xmax = 5, Xscale = 2 Ymin = –10, Ymax = 10, Yscale = 5 Procedure 1 m RUN • MA T a - (Y) ! . (=) v ! i (CLIP) ddd 1 (COPY) 2 m[...]

  • Página 215

    20070201 5-7 Using T ables T o enter the T ABLE mode, select the T ABLE icon on the Main Menu. k Storing a Function and Generating a Number T able u T o store a function Example T o store the function y = 3 x 2 – 2 in memory area Y1 Use f and c to mov e the highlighting in the T able relation list to the memory area where you w ant to store the f[...]

  • Página 216

    20070201 u T o generate a table using a list 1. While the T able relation list is on the screen, displa y the Setup screen. 2. Highlight V ar iable and then press 2 (LIST) to display the pop-up windo w . 3. Select the list whose values you want to assign f or the x -variable. • T o select List 6, for e xample, press g w . This causes the setting [...]

  • Página 217

    20070201 Y ou can use cursor keys to mo v e the highlighting around the table f or the f ollowing purposes. • T o display the selected cell’ s value at the bottom of the screen, using the calculator’ s current number of decimal place, n umber of signifi cant digit, and e xponential displa y range settings • T o scroll the display and vie w[...]

  • Página 218

    20070201 k Editing and Deleting Functions u T o edit a function Example T o change the function in memory area Y1 from y = 3 x 2 – 2 to y = 3 x 2 – 5 Use f and c to mov e the highlighting to the function you w ant to edit. Use e to move the cursor to the beginning of the e xpression. Use d and e to mov e the cursor to the location of the change[...]

  • Página 219

    20070201 5-7-5 Using T ables k Editing T ables Y ou can use the table menu to perf or m any of the follo wing operations once you gener ate a table . • Change the values of v ariable x • Edit (delete, inser t, and append) rows • Delete a table • Draw a connect type gr aph • Draw a plot type gr aph • { FORM } ... {retur n to T able relat[...]

  • Página 220

    20070201 5-7-6 Using T ables u Row Operations u T o delete a row Example T o delete Row 2 of the table generated on page 5-7-2 c 3 (RO W) 1 (DEL) u T o inser t a row Example T o insert a new row between Ro ws 1 and 2 in the table generated on page 5-7-2 c 3 (RO W) 2 (INS)[...]

  • Página 221

    20070201 5-7-7 Using T ables u T o add a row Example T o add a new r ow belo w Row 7 in the table generated on page 5-7-2 cccccc 3 (ROW) 3 (ADD) u Deleting a T able 1. Display the table and then press 2 (DEL). 2. Press 1 (Y es) to delete the table or 6 (No) to abor t the operation without deleting anything.[...]

  • Página 222

    20070201 k Copying a T able Column to a List A simple operation lets you cop y the contents of a numeric table column into a list. Use d and e to mov e the cursor to the column you w ant to copy . The cursor can be in any row . u T o copy a table to a list Example T o copy the contents of Column x into List 1 K 1 (LMEM) Input the number of the list[...]

  • Página 223

    20070201 k Drawing a Graph fr om a Number T able Description Use the follo wing procedure to generate a number tab le and then dra w a graph based on the values in the tab le. Set Up 1. From the Main Menu, enter the T ABLE mode. 2. Make V -Window settings. Execution 3. Store the functions. 4. Specify the table range. 5. Generate the table. 6. Selec[...]

  • Página 224

    20070201 Example Store the two functions belo w , generate a number table, and then draw a line graph. Specify a range of –3 to 3, and an increment of 1. Y1 = 3 x 2 – 2, Y2 = x 2 Use the follo wing V -Window settings. Xmin = 0, Xmax = 6, Xscale = 1 Ymin = –2, Ymax = 10, Yscale = 2 Procedure 1 m T ABLE 2 !3 (V -WIN) a w g w b w c - c w ba w c [...]

  • Página 225

    20070201 k Specifying a Range for Number T able Generation Description Use the follo wing procedure to specify a number tab le range when calculating scatter data from a function. Set Up 1. From the Main Menu, enter the T ABLE mode. Execution 2. Store the functions. 3. Specify the table range. 4. Select the functions for which you w ant to generate[...]

  • Página 226

    20070201 Example Store the three functions shown below , and then generate a table f or functions Y1 and Y3. Specify a range of –3 to 3, and an increment of 1. Y1 = 3 x 2 – 2, Y2 = x + 4, Y3 = x 2 Procedure 1 m T ABLE 2 3 (TYPE) 1 (Y=) d vx -c w v +e w vxw 3 5 (SET) - d w d w b wJ 4 ff 1 (SEL) 5 6 (T ABL) Result Screen 5-7-12 Using T ables # Y [...]

  • Página 227

    20070201 k Simultaneousl y Displaying a Number T able and Graph Description Specifying T+G for Dual Screen on the Setup screen makes it possib le to displa y a number table and gr aph at the same time. Set Up 1. From the Main Menu, enter the T ABLE mode. 2. Make V -Window settings. 3. On the Setup screen, select T+G f or Dual Screen. Execution 4. I[...]

  • Página 228

    20070201 Example Store the function Y1 = 3 x 2 – 2 and simultaneously displa y its number table and line graph. Use a table range of –3 to 3 with an increment of 1. Use the follo wing V -Window settings. Xmin = 0, Xmax = 6, Xscale = 1 Ymin = –2, Ymax = 10, Yscale = 2 Procedure 1 m T ABLE 2 !3 (V -WIN) a w g w b w c - c w ba w c wJ 3 !m (SET U[...]

  • Página 229

    20070201 5-7-15 Using T ables k Using Graph-T able Linking Description With Dual Graph, you can use the f ollowing procedure to link the graph and tab le screens so the pointer on the graph screen jumps to the location of the currently selected tab le value . Set Up 1. From the Main Menu, enter the T ABLE mode. 2. Make the required V -Window settin[...]

  • Página 230

    20070201 5-7-16 Using T ables Example Store the function Y1 = 3log x and simultaneousl y display its number table and plot-type graph. Use a table range of 2 through 9, with an increment of 1. Use the follo wing V -Window settings. Xmin = –1, Xmax = 10, Xscale = 1 Ymin = –1, Ymax = 4, Yscale = 1 Procedure 1 m T ABLE 2 !3 (V -WIN) - b w ba w b w[...]

  • Página 231

    20070201 5-8 Dynamic Graphing k Using Dynamic Graph Description Dynamic Graph lets you defi ne a range of v alues for the coeffi cients in a function, and then observe how a graph is aff ected by changes in the value of a coeffi cient. It helps to see how the coeffi cients and terms that make up a function infl uence the shape and position of [...]

  • Página 232

    20070201 Example Use Dynamic Graph to graph y = A ( x – 1) 2 – 1, in whic h the value of coeffi cient A changes from 2 through 5 in increments of 1. The Graph is drawn 10 times. Use the follo wing V -Window settings. Xmin = –6.3, Xmax = 6.3, Xscale = 1 Ymin = –3.1, Ymax = 3.1, Yscale = 1 (initial defaults) Procedure 1 m D YNA 2 !3 (V -WIN)[...]

  • Página 233

    20070201 k Drawing a Dynamic Graph Locus Description T ur ning on the Dynamic Graph locus setting on the Setup screen lets you ov erlay a g raph drawn b y changing the coeffi cient v alues. Set Up 1. From the Main Menu, enter the D YNA mode. 2. Make V -Window settings. Execution 3. On the Setup screen, select “On” f or “Locus”. 4. Use the [...]

  • Página 234

    20070201 5-8-4 Dynamic Graphing Example Use Dynamic Graph to graph y = A x , in whic h the value of coeffi cient A changes from 1 thr ough 4 in increments of 1. The Graph is drawn 10 times. Use the follo wing V -Window settings. Xmin = –6.3, Xmax = 6.3, Xscale = 1 Ymin = –3.1, Ymax = 3.1, Yscale = 1 (initial defaults) Procedure 1 m D YNA 2 !3 [...]

  • Página 235

    20070201 k Dynamic Graph Application Examples Description Y ou can also use Dynamic Graph to simulate simple ph ysical phenomena. Set Up 1. From the Main Menu, enter the D YNA mode. 2. Make V -Window settings. Execution 3. On the Setup screen, specify Stop for Dynamic T ype and Deg for Angle. 4. Specify Parm (parametric function) as the function ty[...]

  • Página 236

    20070201 Example The path over time T of a ball thro wn in the air at initial velocity V and an angle of θ degrees from horizontal can be calculated as follo ws. X = (Vcos θ )T , Y = (Vsin θ )T – (1/2)gT 2 (g = 9.8m/s 2 ) Use Dynamic Graph to plot the path of a ball thro wn at an initial velocity of 20 meters per second, at horizontal angles o[...]

  • Página 237

    20070201 k Adjusting the Dynamic Graph Speed Y ou can use the follo wing procedure to adjust the Dynamic Graph speed while the dra w operation is taking place. 1. While a Dynamic Graph draw operation is being perf or med, press A to change to the speed adjustment menu. • { } ... {Each step of the Dynamic Graph dra w operation is performed each ti[...]

  • Página 238

    20070201 k Using Dynamic Graph Memory Y ou can store Dynamic Graph conditions and screen data in Dynamic Graph memory for later recall when you need it. This lets y ou sav e time, because y ou can recall the data and immediately begin a Dynamic Graph dra w operation. Note that you can store one set of data in memory at any one time. The follo wing [...]

  • Página 239

    20070201 5-9 Graphing a Recursion Form ula k Generating a Number T able from a Recur sion Formula Description Y ou can input up to three of the follo wing types of recursion formulas and generate a number table . • General term of sequence { a n }, composed of a n , n • Linear two-term recursion composed of a n +1 , a n , n • Linear three-ter[...]

  • Página 240

    20070201 Example Generate a number table fr om recursion between three terms as expressed b y a n +2 = a n +1 + a n , with initial terms of a 1 = 1, a 2 = 1 (Fibonacci sequence), as n changes in value fr om 1 to 6. Procedure 1 m RECUR 2 3 (TYPE) 3 ( a n +2 ) 3 4 ( n . a n ··) 3 ( a n +1 ) + 2 ( a n ) w 4 5 (SET) 2 ( a 1 ) b w g w b w b wJ 5 6 (T [...]

  • Página 241

    20070201 k Graphing a Recursion Form ula (1) Description After generating a number tab le from a recursion f ormula, you can graph the v alues on a line graph or plot type gr aph. Set Up 1. From the Main Menu, enter the RECUR mode. 2. Make V -Window settings. Execution 3. Specify the recursion formula type and input the formula. 4. Specify the tabl[...]

  • Página 242

    20070201 Example Generate a number table fr om recursion between tw o terms as expressed b y a n +1 = 2 a n + 1, with an initial term of a 1 = 1, as n changes in value fr om 1 to 6. Use the table v alues to draw a line graph. Use the follo wing V -Window settings. Xmin = 0, Xmax = 6, Xscale = 1 Ymin = –15, Ymax = 65, Yscale = 5 Procedure 1 m RECU[...]

  • Página 243

    20070201 k Graphing a Recursion Form ula (2) Description The follo wing describes how to generate a number tab le from a recursion f ormula and graph the values while Σ Display is On. Set Up 1. From the Main Menu, enter the RECUR mode. 2. On the Setup screen, specify On for Σ Display . 3. Make V -Window settings. Execution 4. Specify the recursio[...]

  • Página 244

    20070201 Example Generate a number table fr om recursion between tw o terms as expressed b y a n +1 = 2 a n + 1, with an initial term of a 1 = 1, as n changes in value fr om 1 to 6. Use the table v alues to draw a plot line graph with ordinate Σ a n , abscissa n . Use the follo wing V -Window settings. Xmin = 0, Xmax = 6, Xscale = 1 Ymin = –15, [...]

  • Página 245

    20070201 k WEB Graph (Con vergence, Divergence) Description y = f ( x ) is graphed b y presuming a n +1 = y , a n = x for linear tw o-term regression a n +1 = f ( a n ) composed of a n +1 , a n . Next, it can be determined whether the function is conv ergent or divergent. Set Up 1. From the Main Menu, enter the RECUR mode. 2. Make V -Window setting[...]

  • Página 246

    20070201 Example T o draw the WEB graph for the recursion f ormula a n +1 = –3( a n ) 2 + 3 a n , b n +1 = 3 b n + 0.2, and chec k for divergence or con vergence. Use the follo wing table range and V -Window settings. T able Range Start = 0, End = 6, a 0 = 0.01, a n Str = 0.01, b 0 = 0.11, b n Str = 0.11 V -Window Settings Xmin = 0, Xmax = 1, Xsc[...]

  • Página 247

    20070201 5-9-9 Graphing a Recursion F ormula k Graphing a Recursion Form ula on Dual Screen Description When “T+G” is specifi ed f or the Dual Screen setting, you can vie w the number tab le and graph at the same time . Set Up 1. From the Main Menu, enter the RECUR mode. 2. Make V -Window settings. 3. On the Setup screen, select T+G f or Dual [...]

  • Página 248

    20070201 5-9-10 Graphing a Recursion F ormula Example Generate a number table fr om recursion between tw o terms as expressed b y a n +1 = 2 a n + 1, with an initial term of a 1 = 1, as n changes in value fr om 1 to 6. Use the table v alues to draw a line graph. Use the follo wing V -Window settings. Xmin = 0, Xmax = 6, Xscale = 1 Ymin = –15, Yma[...]

  • Página 249

    20070201 5-10-1 Changing the Appearance of a Graph * 1 The above shows the function men u that appears in the GRAPH mode. Menu items may diff er somewhat in other modes. * 2 In the case of an inverse function g raph, drawing star ts immediately after you select this option. * 3 Some sketch functions require specifi cation of two points. After you [...]

  • Página 250

    20070201 Example Draw a line that is tangent to point (2, 0) on the graph for y = x ( x + 2)( x – 2). Use the follo wing V -Window settings. Xmin = –6.3, Xmax = 6.3, Xscale = 1 Ymin = –3.1, Ymax = 3.1, Yscale = 1 (initial defaults) Procedure 1 m GRAPH 2 !3 (V -WIN) 1 (INIT) J 3 !m (SET UP) cccccc 1 ( ) J 4 3 (TYPE) 1 (Y=) v ( v +c)( v -c) w 5[...]

  • Página 251

    20070201 k Inser ting Comments Description Y ou can inser t comments anywhere you w ant in a graph. Set Up 1. Draw the graph. Execution 2. Press !4 (SKTCH) 6 ( g ) 6 ( g ) 2 (T e xt), and a pointer appears in the center of the display . 3. Use the cursor keys to mov e the pointer to the location where you want the te xt to be, and input the text. 5[...]

  • Página 252

    20070201 Example Insert text into the graph y = x ( x + 2)( x – 2). Use the follo wing V -Window settings. Xmin = –5, Xmax = 5, Xscale = 1 Ymin = –5, Ymax = 5, Yscale = 1 Procedure 1 m GRAPH !3 (V -WIN) - f w f w b w c - f w f w b wJ 3 (TYPE) 1 (Y=) v ( v +c)( v -c) w 6 (DRAW) 2 !4 (SKTCH) 6 ( g ) 6 ( g ) 2 (T ext) 3 f ~ f d ~ d a - (Y) ! . ([...]

  • Página 253

    20070201 k Freehand Drawing Description Y ou can use the pen option for freehand dra wing in a graph. Set Up 1. Draw the graph. Execution 2. Press !4 (SKTCH) 6 ( g ) 6 ( g ) 1 (PEN), and a pointer appears in the center of the screen. 3. Use the cursor keys to mov e the pointer to the point from which you want to star t drawing, and then press w . 4[...]

  • Página 254

    20070201 Example Use the pen to draw on the graph y = x ( x + 2)( x – 2). Use the follo wing V -Window settings. Xmin = –5, Xmax = 5, Xscale = 1 Ymin = –5, Ymax = 5, Yscale = 1 Procedure 1 m GRAPH !3 (V -WIN) - f w f w b w c - f w f w b wJ 3 (TYPE) 1 (Y=) v ( v +c)( v -c) w 6 (DRAW) 2 !4 (SKTCH) 6 ( g ) 6 ( g ) 1 (PEN) 3 f ~ f d ~ d w 4 cd ?[...]

  • Página 255

    20070201 5-10-7 Changing the Appearance of a Graph k Changing the Graph Backgr ound Y ou can use the Setup screen to specify the memor y contents of any picture memory area (Pict 1 through Pict 20) as the Background item. When y ou do , the contents of the corresponding memory area is used as the background of the graph screen. Example 1 With the c[...]

  • Página 256

    20070201 5-11 Function Analysis k Reading Coordinates on a Graph Line Description T race lets you mov e a pointer along a graph and read out coordinates on the displa y . Set Up 1. From the Main Menu, enter the GRAPH mode. 2. Draw the graph. Execution 3. Press !1 (TRCE), and a pointer appears in the center of the graph.* 1 4. Use d and e to mov e t[...]

  • Página 257

    20070201 Example Read coordinates along the graph of the function sho wn below . Y1 = x 2 – 3 Use the follo wing V -Window settings. Xmin = –5, Xmax = 5, Xscale = 1 Ymin = –10, Ymax = 10, Yscale = 2 Procedure 1 m GRAPH 2 !3 (V -WIN) - f w f w b w c - ba w ba w c wJ 3 (TYPE) 1 (Y=) vx -d w 6 (DRAW) 3 !1 (TRCE) 4 d ~ d 5 - b w Result Screen 5-1[...]

  • Página 258

    20070201 k Displaying the Deriv ative Description In addition to using T race to display coordinates , you can also displa y the der ivativ e at the current pointer location. Set Up 1. From the Main Menu, enter the GRAPH mode. 2. On the Setup screen, specify On for Derivativ e. 3. Draw the graph. Execution 4. Press !1 (TRCE), and the pointer appear[...]

  • Página 259

    20070201 Example Read coordinates and deriv atives along the graph of the function shown below . Y1 = x 2 – 3 Use the follo wing V -Window settings. Xmin = –5, Xmax = 5, Xscale = 1 Ymin = –10, Ymax = 10, Yscale = 2 Procedure 1 m GRAPH 2 !m (SET UP) cccc 1 (On) J 3 !3 (V -WIN) - f w f w b w c - ba w ba w c wJ 3 (TYPE) 1 (Y=) vx -d w 6 (DRAW) 4[...]

  • Página 260

    20070201 k Graph to T able Description Y ou can use trace to read the coordinates of a graph and store them in a number tab le. Y ou can also use Dual Graph to simultaneously store the gr aph and number table , making this an impor tant graph analysis tool. Set Up 1. From the Main Menu, enter the GRAPH mode. 2. On the Setup screen, specify GtoT for[...]

  • Página 261

    20070201 Example Save, in a table, the coordinates in the vicinity of the points of intersection at X = 0 f or the two graphs sho wn below , and store the table contents in List 1. Y1 = x 2 – 3, Y2 = – x + 2 Use the follo wing V -Window settings. Xmin = –5, Xmax = 5, Xscale = 1 Ymin = –10, Ymax = 10, Yscale = 2 Procedure 1 m GRAPH 2 !m (SET[...]

  • Página 262

    20070201 k Coordinate Rounding Description This function rounds off coordinate values displa yed by T race. Set Up 1. From the Main Menu, enter the GRAPH mode. 2. Draw the graph. Execution 3. Press !2 (ZOOM) 6 ( g ) 3 (RND). This causes the V -Window settings to be changed automatically in accordance with the Rnd value . 4. Press !1 (TRCE), and the[...]

  • Página 263

    20070201 Example Use coordinate r ounding and display the coor dinates in the vicinity of the points of intersection f or the two graphs pr oduced by the functions shown below . Y1 = x 2 – 3, Y2 = – x + 2 Use the follo wing V -Window settings. Xmin = –5, Xmax = 5, Xscale = 1 Ymin = –10, Ymax = 10, Yscale = 2 Procedure 1 m GRAPH 2 !3 (V -WIN[...]

  • Página 264

    20070201 k Calculating the Root Description This feature pro vides a number of diff erent methods f or analyzing graphs . Set Up 1. From the Main Menu, enter the GRAPH mode. 2. Draw the graphs . Execution 3. Select the analysis function. !5 (G-SL V) 1 (ROO T) ... Calculation of root 2 (MAX) ... Local maximum v alue 3 (MIN) ... Local minimum v alue [...]

  • Página 265

    20070201 Example Draw the graph shown belo w and calculate the root f or Y1. Y1 = x ( x + 2)( x – 2) Use the follo wing V -Window settings. Xmin = –6.3, Xmax = 6.3, Xscale = 1 Ymin = –3.1, Ymax = 3.1, Yscale = 1 (initial defaults) Procedure 1 m GRAPH 2 !3 (V -WIN) 1 (INIT) J 3 (TYPE) 1 (Y=) v ( v +c)( v -c) w 6 (DRAW) 3 !5 (G-SL V) 1 (ROO T) [...]

  • Página 266

    20070201 k Calculating the P oint of Intersection of T wo Graphs Description Use the follo wing procedure to calculate the point of intersection of two gr aphs. Set Up 1. Draw the graphs . Execution 2. Press !5 (G-SL V) 5 (ISCT). When there are three or more gr aphs, the selection cursor ( k ) appears at the lowest numbered gr aph. 3. Press f and c[...]

  • Página 267

    20070201 Example Graph the two functions sho wn below , and determine the point of intersection between Y1 and Y2. Y1 = x + 1, Y2 = x 2 Use the follo wing V -Window settings. Xmin = –5, Xmax = 5, Xscale = 1 Ymin = –5, Ymax = 5, Yscale = 1 Procedure 1 m GRAPH !3 (V -WIN) - f w f w b w c - f w f w b wJ 3 (TYPE) 1 (Y=) v +b w vxw 6 (DRAW) 2 !5 (G-[...]

  • Página 268

    20070201 k Determining the Coordinates f or Given P oints Description The follo wing procedure describes how to determine the y -coordinate for a giv en x , and the x -coordinate for a giv en y . Set Up 1. Draw the graph. Execution 2. Select the function you want to perf orm. When there are multiple graphs , the selection cursor ( k ) appears at th[...]

  • Página 269

    20070201 Example Graph the two functions sho wn below and then determine the y - coordinate f or x = 0.5 and the x -coordinate for y = 2.2 on graph Y2. Y1 = x + 1, Y2 = x ( x + 2)( x – 2) Use the follo wing V -Window settings. Xmin = –6.3, Xmax = 6.3, Xscale = 1 Ymin = –3.1, Ymax = 3.1, Yscale = 1 (initial defaults) Procedure 1 m GRAPH !3 (V [...]

  • Página 270

    20070201 k Calculating the lntegral V alue for a Given Range Description Use the follo wing procedure to obtain integration v alues for a given r ange. Set Up 1. Draw the graph. Execution 2. Press !5 (G-SL V) 6 ( g ) 3 ( ∫ dx ). When there are multiple gr aphs, this causes the selection cursor ( k ) to appear at the lowest numbered gr aph. 3. Use[...]

  • Página 271

    20070201 Example Graph the function shown below , and then determine the integral v alue at (–2, 0). Y1 = x ( x + 2)( x – 2) Use the follo wing V -Window settings. Xmin = –6.3, Xmax = 6.3, Xscale = 1 Ymin = –4, Ymax = 4, Yscale = 1 Procedure 1 m GRAPH !3 (V -WIN) - g.d w g.d w b w c - e w e w b wJ 3 (TYPE) 1 (Y=) v ( v +c)( v -c) w 6 (DRAW)[...]

  • Página 272

    20070201 k Conic Section Graph Analysis Y ou can deter mine approximations of the f ollowing analytical results using conic section graphs . • Focus/v er te x/eccentricity • Length of latus rectum • Center/radius • x -/ y -intercept • Directrix/axis of symmetr y drawing and analysis • Asymptote drawing and analysis 1. From the Main Men [...]

  • Página 273

    20070201 u T o calculate the focus, ver tex and length of latus rectum [G-SL V]-[FOCS]/[VTX]/[LEN] Example T o determine the focus, ver tex and length of latus rectum for the parabola X = (Y – 2) 2 + 3 Use the follo wing V -Window settings. Xmin = –1, Xmax = 10, Xscale = 1 Ymin = –5, Ymax = 5, Yscale = 1 m CONICS w b w c w d w6 (DRA W) !5 (G-[...]

  • Página 274

    20070201 u T o calculate the center and radius [G-SL V]-[CNTR]/[RADS] Example T o determine the center and radius for the cir cle (X + 2) 2 + (Y + 1) 2 = 2 2 Use the follo wing V -Window settings. Xmin = –6.3, Xmax = 6.3, Xscale = 1 Ymin = –3.1, Ymax = 3.1, Yscale = 1 (initial defaults) m CONICS cccc w - c w- b w c w6 (DRA W) !5 (G-SL V) 1 (CNT[...]

  • Página 275

    20070201 u T o calculate the x - and y -intercepts [G-SL V]-[X-IN]/[Y-IN] Example T o determine the x - and y -intercepts for the h yperbola Use the follo wing V -Window settings. Xmin = –4, Xmax = 8, Xscale = 1 Ymin = –5, Ymax = 5, Yscale = 1 m CONICS ccccccc w c w c w d w b w6 (DRA W) !5 (G-SL V) 2 (X-IN) (Calculates the x -intercept.) !5 (G-[...]

  • Página 276

    20070201 u T o draw and analyze the axis of symmetry and directrix [G-SL V]-[SYM]/[DIR] Example T o draw the axis of symmetry and directrix for the parabola X = 2(Y – 1) 2 + 1 Use the follo wing V -Window settings. Xmin = –6.3, Xmax = 6.3, Xscale = 1 Ymin = –3.1, Ymax = 3.1, Yscale = 1 (initial defaults) m CONICS w c w b w b w6 (DRA W) !5 (G-[...]

  • Página 277

    20070201 u T o draw and analyze the asymptotes [G-SL V]-[ASYM] Example T o draw the asymptotes f or the hyperbola Use the follo wing V -Window settings. Xmin = –6.3, Xmax = 6.3, Xscale = 1 Ymin = –5, Ymax = 5, Yscale = 1 m CONICS ccccccc w c w c w b w b w6 (DRA W) !5 (G-SL V) 5 (ASYM) (Draws the asymptotes .) u T o calculate eccentricity [G-SL [...]

  • Página 278

    20070201 Statistical Graphs and Calculations This chapter describes how to input statistical data into lists, ho w to calculate the mean, maximum and other statistical v alues, ho w to perf or m v arious statistical tests, how to determine the confi dence inter val, and ho w to produce a distribution of statistical data. It also tells you ho w to [...]

  • Página 279

    20070201 6-1 Before P erf orming Statistical Calculations Entering the ST A T mode from the Main Menu displays the List Editor screen. Y ou can use the List Editor screen to input statistical data and perform statistical calculations. Use f , c , d and e to mov e the highlighting around the lists. Once you input data, y ou can use it to produce a g[...]

  • Página 280

    20070201 k Changing Graph P arameters Use the follo wing procedures to specify the graph dr aw/non-dra w status, the graph type, and other general settings f or each of the graphs in the g raph menu (GPH1, GPH2, GPH3). While the statistical data list is on the display , press 1 (GRPH) to display the g raph menu, which contains the follo wing items.[...]

  • Página 281

    20070201 • Mark T ype This setting lets you specify the shape of the plot points on the gr aph. u T o display the general graph settings screen [GRPH]-[SET] Pressing 1 (GRPH) 6 (SET) displays the general g raph settings screen. • The settings shown here are e xamples only . The settings on y our general graph settings screen may diff er. • St[...]

  • Página 282

    20070201 2. Graph draw/non-dra w status [GRPH]-[SEL] The follo wing procedure can be used to specify the dra w (On)/non-draw (Off) status of each of the graphs in the gr aph menu. u T o specify the draw/non-draw status of a graph 1. Pressing 1 (GRPH) 4 (SEL) displays the g raph On/Off screen. • Note that the StatGraph1 setting is f or Graph 1 (GP[...]

  • Página 283

    20070201 6-2 Calculating and Graphing Single-V ariable Statistical Data Single-variable data is data with only a single v ar iable. If you are calculating the av erage height of the members of a class for e xample, there is only one variable (height). Single-variable statistics include distribution and sum. The following types of gr aphs are av ail[...]

  • Página 284

    20070201 k Med-box Graph (MedBo x) This type of graph lets y ou see how a large number of data items are g rouped within specifi c ranges. A box encloses all the data in an area from the fi rst quartile (Q1) to the third quar tile (Q3), with a line drawn at the median (Med). Lines (called whiskers) extend from either end of the box up to the mini[...]

  • Página 285

    20070201 k Normal Distribution Curve (N • Dis) The normal distr ibution curve is graphed using the f ollowing nor mal distribution function. XList specifi es the list where the data is input, while F req specifi es the list where the data frequency is input. 1 is specifi ed for F req when frequency is not specifi ed. k Broken Line Graph (Brkn[...]

  • Página 286

    20070201 k Displaying the Calculation Results of a Dra wn Single-V ariable Graph Single-variable statistics can be e xpressed as both graphs and parameter v alues. When these graphs are displa yed, the single-variable calculation results appear as sho wn below when you press 1 (1V AR). • Use c to scroll the list so you can view the items that run[...]

  • Página 287

    20070201 6-3-1 Calculating and Graphing P aired-V ariable Statistical Data 6-3 Calculating and Graphing P aired-V ariable Statistical Data k Drawing a Scatter Diagram and xy Line Graph Description The follo wing procedure plots a scatter diagram and connects the dots to produce an xy line graph. Set Up 1. From the Main Menu, enter the S TAT mode. E[...]

  • Página 288

    20070201 Example Input the two sets of data sho wn below . Next, plot the data on a scatter diagram and connect the dots to produce an xy line graph. 0.5, 1.2, 2.4, 4.0, 5.2 ( x List) –2.1, 0.3, 1.5, 2.0, 2.4 ( y List) Procedure 1 m ST A T 2 a.f w b.c w c.e w e w f.c w e - c.b w a.d w b.f w c w c.e w 3 (Scatter diagram) 1 (GRPH) 6 (SET) c 1 (Scat[...]

  • Página 289

    20070201 k Drawing a Regression Graph Description Use the follo wing procedure to input paired-v ariable statistical data, perform a regression calculation using the data, and then graph the results . Set Up 1. From the Main Menu, enter the S TAT mode. Execution 2. Input the data into a list, and plot the scatter diagram. 3. Select the regression t[...]

  • Página 290

    20070201 Example Input the two sets of data sho wn below and plot the data on a scatter diagram. Next, perf orm logarithmic regression on the data to display the regression parameters, and then draw the corresponding regression graph. 0.5, 1.2, 2.4, 4.0, 5.2 ( x List) –2.1, 0.3, 1.5, 2.0, 2.4 ( y List) Procedure 1 m ST A T 2 a.f w b.c w c.e w e w[...]

  • Página 291

    20070201 k Selecting the Regression T ype After you gr aph paired-variab le statistical data, press 1 (CALC). Then you can use the function menu at the bottom of the displa y to select from a variety of diff erent types of regression. • { 2V AR } ... {paired-variable statistical results} • { X } / { Med } / { X^2 } / { X^3 } / { X^4 } / { Log }[...]

  • Página 292

    20070201 k Linear Regression Graph Linear regression uses the method of least squares to plot a straight line that passes close to as many data points as possib le, and returns values f or the slope and y -intercept ( y -coordinate when x = 0) of the line. The graphic representation of this relationship is a linear regression g raph. 1 (CALC) 2 (X)[...]

  • Página 293

    20070201 k Quadratic/Cubic/Quartic Regression Graph A quadratic/cubic/quartic regression graph represents connection of the data points of a scatter diagram. It uses the method of least squares to draw a curve that passes close to as many data points as possib le. The f ormula that represents this is quadratic/cubic/quar tic regression. Ex. Quadrat[...]

  • Página 294

    20070201 k Logarithmic Regression Graph Logarithmic regression expresses y as a logarithmic function of x . The standard logar ithmic regression f ormula is y = a + b × In x , so if we say that X = In x , the formula corresponds to linear regression f ormula y = a + b X. 1 (CALC) 6 ( g ) 2 (Log) 6 (DRA W) The follo wing is the logarithmic regressi[...]

  • Página 295

    20070201 k Po wer Regression Graph P ower regression e xpresses y as a propor tion of the power of x . The standard po wer regression f ormula is y = a × x b , so if we take the logarithm of both sides we get In y = In a + b × In x . Next, if we sa y X = In x , Y = In y , and A = In a , the formula corresponds to linear regression f ormula Y = A [...]

  • Página 296

    20070201 k Logistic Regression Graph Logistic regression is best applied f or time-based phenomena in which there is a continual increase until a saturation point is reached. The follo wing is the logistic regression model f ormula. y = c 1 + ae –bx 1 (CALC) 6 ( g ) 6 ( g ) 1 (Lgst) 6 (DRA W) • Cer tain types of data may tak e a long time to ca[...]

  • Página 297

    20070201 k Displaying the Calculation Results of a Dra wn P aired-V ariable Graph P aired-variab le statistics can be expressed as both g raphs and parameter v alues. When these graphs are displa yed, the paired-variable calculation results appear as sho wn below when you press 1 (CALC) 1 (2V AR). • Use c to scroll the list so you can view the it[...]

  • Página 298

    20070201 k Multiple Graphs Y ou can draw more than one gr aph on the same display b y using the procedure under “Changing Graph P arameters” to set the gr aph dra w (On)/non-draw (Off) status of tw o or all three of the graphs to dra w On, and then pressing 6 (DRA W)(see page 6-1-4). After drawing the g raphs, y ou can select which graph f or m[...]

  • Página 299

    20070201 k Overlaying a Function Graph on a Statistical Graph Description Y ou can overla y a paired-v ariable statistical graph with an y type of function graph y ou want. Set Up 1. From the Main Menu, enter the S TAT mode. Execution 2. Input the data into a list, and draw the statistical graph. 3. Display the Graph Function menu, and input the fu[...]

  • Página 300

    20070201 Example Input the two sets of data sho wn below . Next, plot the data on a scatter diagram and overla y a function graph y = 2ln x . 0.5, 1.2, 2.4, 4.0, 5.2 –2.1, 0.3, 1.5, 2.0, 2.4 Procedure 1 m ST A T 2 a.f w b.c w c.e w e w f.c w e - c.b w a.d w b.f w c w c.e w 1 (GRPH) 1 (GPH1) 3 2 (DefG) c Ivw (Register Y1 = 2In x ) 4 6 (DRAW) Resul[...]

  • Página 301

    20070201 6-4 P erforming Statistical Calculations All of the statistical calculations up to this point were perf ormed after displaying a graph. The follo wing procedures can be used to perf orm statistical calculations alone. u T o specify statistical calculation data lists Y ou hav e to input the statistical data for the calculation y ou want to [...]

  • Página 302

    20070201 k Single-V ariable Statistical Calculations In the previous e xample under “Displa ying the Calculation Results of a Dra wn Single-V ariable Graph”, statistical calculation results were displa yed after the graph was dr awn. These were numeric expressions of the char acteristics of variables used in the graphic displa y . These values [...]

  • Página 303

    20070201 k Regression Calculation In the explanations from “Linear Regression Graph” to “Logistic Regression Graph, ” regression calculation results were displa yed after the graph was dr awn. Here, each coeffi cient v alue of the regression line or regression curve is e xpressed as a number. Y ou can directly deter mine the same expressio[...]

  • Página 304

    20070201 • Linear Regression ... M Se = Σ 1 n – 2 i =1 n ( y i – ( ax i + b )) 2 • Quadratic Regression ... M Se = Σ 1 n – 3 i =1 n ( y i – ( ax i + bx i + c )) 2 2 • Cubic Regression ... M Se = Σ 1 n – 4 i =1 n ( y i – ( ax i 3 + bx i + cx i + d )) 2 2 • Quar tic Regression ... M Se = Σ 1 n – 5 i =1 n ( y i – ( ax i 4 +[...]

  • Página 305

    20070201 2. Input the value you want f or x and then press w . • This causes the coordinates for x and y to appear at the bottom of the display , and mov es the pointer to the corresponding point on the graph. 3. Pressing v or a number key at this time causes the x -value input dialog bo x to reappear so you can perf or m another estimated value [...]

  • Página 306

    20070201 6-4-6 P erforming Statistical Calculations # Y ou cannot obtain estimated values for a Med- Med, quadratic regression, cubic regression, quartic regression, sinusoidal regression, or logistic regression graph. xi yi 10 1003 15 1005 20 1010 25 1011 30 1014 1. From the Main Menu, enter the S TAT mode. 2. Input data into the list and draw the[...]

  • Página 307

    20070201 k Normal Probability Distrib ution Calculation Y ou can calculate nor mal probability distributions f or single-variable statistics with the RU N • MA T mode. Press K 6 ( g ) 3 (PROB) 6 ( g ) to display a function menu, which contains the f ollowing items. • { P( } / { Q( } / { R( } ... obtains nor mal probability {P( t )}/{Q( t )}/{R([...]

  • Página 308

    20070201 1. From the Main Menu, enter the S TAT mode. 2. Input the height data into List 1 and the frequency data into List 2. 3. Perf or m the single-variable statistical calculations.* 1 2 (CALC) 6 (SET) 1 (LIST) b w c 2 (LIST) c w!J (QUIT) 2 (CALC) 1 (1V AR) 4. Press m , select the RUN • MA T mode, press K 6 ( g ) 3 (PROB) to recall the probab[...]

  • Página 309

    20070201 6-4-9 P erforming Statistical Calculations k Drawing a Normal Probability Distrib ution Graph Description Y ou can draw a normal probability distribution graph using manual g raphing with the RU N • MA T mode. Set Up 1. From the Main Menu, enter the RU N • MA T mode. Execution 2. Input the commands to draw a rectangular coordinate grap[...]

  • Página 310

    20070201 6-4-10 P erforming Statistical Calculations Example T o draw a normal pr obability P (0.5) graph. Procedure 1 m RUN • MA T 2 !4 (SKTCH) 1 (Cls) w 5 (GRPH) 1 (Y=) 3 K 6 ( g ) 3 (PROB) 6 ( g ) 1 (P() a.f w Result Screen[...]

  • Página 311

    20070201 6-5 T ests The Z T est provides a variety of diff erent standardization-based tests. They mak e it possible to test whether or not a sample accurately represents the population when the standard deviation of a population (such as the entire population of a country) is known from pre vious tests. Z testing is used for market research and pu[...]

  • Página 312

    20070201 The follo wing pages e xplain various statistical calculation methods based on the principles described above . Details concer ning statistical principles and ter minology can be found in any standard statistics te xtbook. On the initial S TAT mode screen, press 3 (TEST) to display the test menu, which contains the follo wing items. • 3 [...]

  • Página 313

    20070201 P erform the following k ey oper ations from the statistical data list. 3 (TEST) 1 (Z) 1 (1-S) The follo wing shows the meaning of each item in the case of list data specifi cation. Data .............................. data type μ .................................. population mean value test conditions (“ G μ 0 ” specifi es two-tail[...]

  • Página 314

    20070201 Calculation Result Output Example μ G 11.4 ........................ direction of test z .................................. z score p .................................. p-value ¯ x .................................. mean of sample x σ n -1 ............................. sample standard deviation (Display ed only for Data: List setting.) n[...]

  • Página 315

    20070201 u 2-Sample Z T est This test is used when the standard deviations f or two populations are known to test the hypothesis . The 2-Sample Z Te s t is applied to the nor mal distribution. ¯ x 1 : mean of sample 1 ¯ x 2 : mean of sample 2 σ 1 : population standard de viation of sample 1 σ 2 : population standard de viation of sample 2 n 1 :[...]

  • Página 316

    20070201 The follo wing shows the meaning of par ameter data specifi cation items that are diff erent from list data specifi cation. ¯ x 1 ................................. mean of sample 1 n 1 ................................. size (positive integer) of sample 1 ¯ x 2 ................................. mean of sample 2 n 2 .....................[...]

  • Página 317

    20070201 u 1-Prop Z T est This test is used to test for an unkno wn propor tion of successes. The 1-Prop Z T est is applied to the normal distr ibution. p 0 : e xpected sample propor tion n : siz e of sample P erform the following k ey oper ations from the statistical data list. 3 (TEST) 1 (Z) 3 (1-P) Prop .............................. sample prop[...]

  • Página 318

    20070201 u 2-Prop Z Te s t This test is used to compare the propor tion of successes. The 2-Prop Z Te s t is applied to the normal distr ibution. x 1 : data value of sample 1 x 2 : data value of sample 2 n 1 : size of sample 1 n 2 : size of sample 2 ˆ p : estimated sample propor tion P erform the following k ey oper ation from the statistical data[...]

  • Página 319

    20070201 Calculation Result Output Example p 1 > p 2 ............................ direction of test z ................................... z score p .................................. p-value ˆ p 1 ................................. estimated propor tion of sample 1 ˆ p 2 ................................. estimated propor tion of sample 2 ˆ p .[...]

  • Página 320

    20070201 k t Te s t s u t T est Common Functions Y ou can use the follo wing graph analysis functions after dra wing a t T est result output graph. • 1 (T) ... Displa ys t score. Pressing 1 (T) displays the t score at the bottom of the display , and displays the pointer at the corresponding location in the graph (unless the location is off the gr[...]

  • Página 321

    20070201 u 1-Sample t T est This test uses the hypothesis test f or a single unknown population mean when the population standard deviation is unkno wn. The 1-Sample t T est is applied to t -distribution. ¯ x : mean of sample μ 0 : assumed population mean x σ n -1 : sample standard de viation n : siz e of sample P erform the following k ey oper [...]

  • Página 322

    20070201 Calculation Result Output Example μ G 11.3 ...................... direction of test t ................................... t score p .................................. p-value ¯ x .................................. mean of sample x σ n -1 ............................. sample standard deviation n .................................. size of[...]

  • Página 323

    20070201 u 2-Sample t T est 2-Sample t T est compares the population means when the population standard deviations are unknown. The 2-Sample t Te s t is applied to t -distribution. The follo wing applies when pooling is in eff ect. d f = n 1 + n 2 – 2 t = o 1 – o 2 n 1 1 + n 2 1 x p n –1 2 σ t = o 1 – o 2 n 1 1 + n 2 1 x p n –1 2 σ x p [...]

  • Página 324

    20070201 The follo wing shows the meaning of each item in the case of list data specifi cation. Data .............................. data type μ 1 ................................. sample mean value test conditions (“ G μ 2 ” specifi es two-tail test, “< μ 2 ” specifi es one-tail test where sample 1 is smaller than sample 2, “>[...]

  • Página 325

    20070201 Calculation Result Output Example μ 1 G μ 2 ........................... direction of test t ................................... t score p .................................. p-value df ................................. degrees of freedom ¯ x 1 ................................. mean of sample 1 ¯ x 2 ................................. mea[...]

  • Página 326

    20070201 u LinearReg t Te s t LinearReg t Test treats paired-variable data sets as ( x , y ) pairs, and uses the method of least squares to determine the most appropr iate a , b coeffi cients of the data for the regression f ormula y = a + bx . It also deter mines the correlation coeffi cient and t value , and calculates the extent of the relatio[...]

  • Página 327

    20070201 # [Save Res] does not sa ve the β & ρ conditions in line 2. # When the list specifi ed by [Sa ve Res] is the same list specifi ed b y the [Resid List] item on the Setup screen, only [Resid List] data is sav ed in the list. 6-5-17 Te s t s Calculation Result Output Example β G 0 & ρ G 0 ............... direction of test t ....[...]

  • Página 328

    20070201 # The matrix must be at least two lines b y two columns. An error occurs if the matrix has only one line or one column. # Pressing 1 (Mat) while the “Observed” and “Expected” parameter settings are highlighted will display the Matrix (A to Z) setting screen. 6-5-18 Te s t s # Pressing 2 ( ' MA T) while setting parameters enter[...]

  • Página 329

    20070201 # Pressing 6 ( ' MA T) while a calculation result is display ed enters the Matrix Editor , which you can use to edit and vie w the contents of matrices. # The following V -Window settings are used f or drawing the g raph. Xmin = 0, Xmax = 11.5, Xscale = 2, Ymin = –0.1, Ymax = 0.5, Yscale = 0.1 # Ex ecuting an analysis function autom[...]

  • Página 330

    20070201 6-5-20 Te s t s k 2-Sample F T est 2-Sample F T est tests the hypothesis f or the ratio of sample v ariances. The F T est is applied to the F distr ibution. P erform the following k ey oper ations from the statistical data list. 3 (TEST) 4 (F) The follo wing is the meaning of each item in the case of list data specifi cation. Data .......[...]

  • Página 331

    20070201 # [Save Res] does not sa ve the σ 1 condition in line 2. # V -Window settings are automatically optimized f or drawing the g raph. # Ex ecuting an analysis function automatically stores the F and p values in alpha variables F and P , respectively . 6-5-21 Te s t s After setting all the parameters, use c to move the highlighting to “Ex e[...]

  • Página 332

    20070201 * 1 [Sav e Res] sav es each vertical column of the table into its own list. The leftmost column is sav ed in the specifi ed list, and each subsequent column to the right is saved in the next sequentially numbered list. Up to fi ve lists can be used for storing columns. Y ou can specify an fi rst list n umber in the range of 1 to 22. 6-5[...]

  • Página 333

    20070201 # Graphing is availab le with T wo-W ay ANO V A only . V -Window settings are performed automatically , regardless of Setup screen settings. # Using the T race function automatically stores the number of conditions to alpha variab le A and the mean value to v ariable M, respectively . 6-5-23 Te s t s Calculation Result Output Example One-W[...]

  • Página 334

    20070201 k ANO V A (T wo-W ay) u Description The nearby tab le shows measurement results f or a metal product produced by a heat treatment process based on two treatment le vels: time (A) and temperature (B). The experiments were repeated twice each under identical conditions . P erform analysis of variance on the following n ull h ypothesis, using[...]

  • Página 335

    20070201 u Input Example u Results 6-5-25 Te s t s[...]

  • Página 336

    20070201 6-6 Confi dence Inter v al A confi dence interval is a range (interval) that includes a statistical v alue, usually the population mean. A confi dence interval that is too broad makes it diffi cult to get an idea of where the population value (true v alue) is located. A narrow confi dence interval, on the other hand, limits the popula[...]

  • Página 337

    20070201 u General Confi dence Interval Precautions Inputting a value in the r ange of 0 < C-Lev el < 1 for the C-Le vel setting sets you v alue you input. Inputting a value in the range of 1 < C-Lev el < 100 sets a value equivalent to y our input divided by 100. # Inputting a value of 100 or greater , or a negative v alue causes an er[...]

  • Página 338

    20070201 k Z Interval u 1-Sample Z Inter val 1-Sample Z Inter val calculates the confi dence interval f or an unknown population mean when the population standard deviation is kno wn. The follo wing is the confi dence interval. Howe ver , α is the level of signifi cance. The v alue 100 (1 – α ) % is the confi dence le vel. When the confi d[...]

  • Página 339

    20070201 After setting all the parameters, use c to move the highlighting to “Ex ecute” and then press the function ke y shown belo w to perform the calculation. • 1 (CALC) ... P erforms the calculation. Calculation Result Output Example Left .............................. confi dence interval low er limit (left edge) Right .................[...]

  • Página 340

    20070201 The follo wing shows the meaning of each item in the case of list data specifi cation. Data ............................. data type C-Lev el ......................... confi dence le vel (0 < C-Level < 1) σ 1 ................................. population standard deviation of sample 1 ( σ 1 > 0) σ 2 ............................[...]

  • Página 341

    20070201 u 1-Prop Z Inter val 1-Prop Z Interval uses the number of data to calculate the confi dence interval f or an unknown proportion of successes. The follo wing is the confi dence interval. α is the level of signifi cance. The v alue 100 (1 – α ) % is the confi dence le v el. n : size of sample x : data P erform the following k ey oper[...]

  • Página 342

    20070201 u 2-Prop Z Inter val 2-Prop Z Interval uses the number of data items to calculate the confi dence interval f or the defference betw een the propor tion of successes in two populations. The follo wing is the confi dence interval. α is the level of signifi cance. The v alue 100 (1 – α ) % is the confi dence le v el. n 1 , n 2 : siz e[...]

  • Página 343

    20070201 Left ............................... confi dence interval low er limit (left edge) Right ............................. confi dence interval upper limit (right edge) ˆ p 1 ................................. estimated sample propotion for sample 1 ˆ p 2 ................................. estimated sample propotion for sample 2 n 1 ........[...]

  • Página 344

    20070201 ¯ x ................................... mean of sample x σ n -1 ............................. sample standard deviation ( x σ n -1 > 0) n .................................. size of sample (positive integer) After setting all the parameters, use c to move the highlighting to “Ex ecute” and then press the function ke y shown belo w[...]

  • Página 345

    20070201 The follo wing confi dence interval applies when pooling is not in eff ect. α is the lev el of signifi cance . The v alue 100 (1 – α ) % is the confi dence le vel. P erform the following k ey oper ations from the statistical data list. 4 (INTR) 2 (t) 2 (2-S) The follo wing shows the meaning of each item in the case of list data spec[...]

  • Página 346

    20070201 ¯ x 1 ................................. mean of sample 1 x 1 σ n -1 ............................ standard deviation ( x 1 σ n -1 > 0) of sample 1 n 1 ................................. size (positive integer) of sample 1 ¯ x 2 ................................. mean of sample 2 x 2 σ n -1 ............................ standard deviati[...]

  • Página 347

    20070201 6-7 Distribution There is a variety of diff erent types of distribution, but the most w ell-known is “normal distribution, ” which is essential for perf or ming statistical calculations. Nor mal distribution is a symmetrical distribution centered on the greatest occurrences of mean data (highest frequency), with the frequency decreasin[...]

  • Página 348

    20070201 u Common Distribution Functions After drawing a g raph, y ou can use the P-CAL function to calculate an estimated p-value f or a par ticular x value. The follo wing is the general procedure f or using the P-CAL function. 1. After drawing a distribution graph, press !5 (G-SL V) 1 (P-CAL) to display the x value input dialog bo x. 2. Input th[...]

  • Página 349

    20070201 k Normal Distribution u Normal Probability Density Normal probability density calculates the probability density of nomal distr ibution from a specifi ed x value . Nor mal probability density is applied to standard nor mal distribution. ( σ > 0) P erform the following k ey oper ations from the statistical data list. 5 (DIST) 1 (NORM) [...]

  • Página 350

    20070201 u Normal Distribution Probability Normal distr ibution probability calculates the probability of normal distribution data falling between two specifi c values . a : lower boundary b : upper boundar y P erform the following k ey oper ations from the statistical data list. 5 (DIST) 1 (NORM) 2 (Ncd) Data is specifi ed using parameter speci?[...]

  • Página 351

    20070201 Calculation Result Output Example p ................................. nor mal distribution probability z:Low .......................... z:Low value (con ver ted to standardize z score for lo wer value) z:Up ............................ z:Up value (con verted to standardize z score for upper v alue) u Inver se Cumulative Normal Distrib utio[...]

  • Página 352

    20070201 After setting all the parameters, use c to move the highlighting to “Ex ecute” and then press the function ke y shown belo w to perform the calculation. • 1 (CALC) ... P erforms the calculation. Calculation Result Output Examples x .................................. inv erse cumulativ e normal distr ibution • When [Left] is selecte[...]

  • Página 353

    20070201 k Student- t Distribution u Student- t Probability Density Student- t probability density calculates t probability density from a specifi ed x va l ue . P erform the following k ey oper ations from the statistical data list. 5 (DIST) 2 (t) 1 (tpd) Data is specifi ed using parameter specifi cation. The f ollowing shows the meaning of eac[...]

  • Página 354

    20070201 u Student- t Distribution Probability Student- t distribution probability calculates the probability of t distr ibution data f alling between two specifi c values . a : lower boundary b : upper boundar y P erform the following k ey oper ations from the statistical data list. 5 (DIST) 2 (t) 2 (tcd) Data is specifi ed using parameter speci[...]

  • Página 355

    20070201 Calculation Result Output Example p .................................. Student- t distribution probability t:Low ............................ t:Low value (input low er value) t:Up .............................. t:Up value (input upper value) k χ 2 Distribution u χ 2 Probability Density χ 2 probability density calculates the probability [...]

  • Página 356

    20070201 Calculation Result Output Example p .................................. χ 2 probability density # Current V -Window settings are used for graph dra wing when the Setup screen’ s [Stat Wind] setting is [Manual]. The V -Window settings below are set automatically when the [Stat Wind] setting is [A uto]. Xmin = 0, Xmax = 11.5, Xscale = 2, Y[...]

  • Página 357

    20070201 u χ 2 Distribution Probability χ 2 distribution probability calculates the probability of χ 2 distribution data falling betw een two specifi c values . a : lower boundary b : upper boundar y P erform the following k ey oper ations from the statistical data list. 5 (DIST) 3 (CHI) 2 (Ccd) Data is specifi ed using parameter specifi cati[...]

  • Página 358

    20070201 Calculation Result Output Example p .................................. χ 2 distribution probability k F Distribution u F Probability Density F probability density calculates the probability density function for the F distribution at a specifi ed x value . P erform the following k ey oper ations from the statistical data list. 5 (DIST) 4 [...]

  • Página 359

    20070201 Calculation Result Output Example p .................................. F probability density # V -Window settings for g raph drawing are set automatically when the Setup screen’ s [Stat Wind] setting is [Auto]. Current V -Window settings are used f or graph drawing when the [Stat Wind] setting is [Manual]. 6-7-13 Distribution[...]

  • Página 360

    20070201 u F Distribution Probability F distribution probability calculates the probability of F distr ibution data f alling between two specifi c values . a : lower boundary b : upper boundar y P erform the following k ey oper ations from the statistical data list. 5 (DIST) 4 (F) 2 (Fcd) Data is specifi ed using parameter specifi cation. The f [...]

  • Página 361

    20070201 Calculation Result Output Example p .................................. F distr ibution probability 6-7-15 Distribution[...]

  • Página 362

    20070201 k Binomial Distribution u Binomial Probability Binomial probability calculates a probability at a specifi ed v alue f or the discrete binomial distribution with the specifi ed n umber of trials and probability of success on each tr ial. p : success probability (0 < p < 1) n : number of tr ials P erform the following k ey oper ation[...]

  • Página 363

    20070201 Calculation Result Output Example p .................................. binomial probability u Binomial Cumulative Density Binomial cumulativ e density calculates a cumulativ e probability at a specifi ed v alue for the discrete binomial distribution with the specifi ed n umber of trials and probability of success on each trial. P erform [...]

  • Página 364

    20070201 After setting all the parameters, use c to move the highlighting to “Ex ecute” and then press the function ke y shown belo w to perform the calculation. • 1 (CALC) ... P erforms the calculation. Calculation Result Output Example p .................................. probability of success 6-7-18 Distribution[...]

  • Página 365

    20070201 k P oisson Distribution u Poisson Pr obability P oisson probability calculates a probability at a specifi ed v alue for the discrete P oisson distribution with the specifi ed mean. ( x = 0, 1, 2, ···) μ : mean ( μ > 0) P erform the following k ey oper ations from the statistical data list. 5 (DIST) 6 ( g ) 1 (POISN) 1 (Ppd) The f[...]

  • Página 366

    20070201 u Poisson Cum ulative Density P oisson cumulative density calculates a cumulativ e probability at specifi ed v alue f or the discrete P oisson distr ibution with the specifi ed mean. P erform the following k ey oper ations from the statistical data list. 5 (DIST) 6 ( g ) 1 (POISN) 2 (Pcd) The follo wing shows the meaning of each item whe[...]

  • Página 367

    20070201 6-7-21 Distribution # There is no g raphing f or geometric distribution. # P ositive integer number is calculated whether list data (Data:List) or x value (Data:v ar iable) is specifi ed. k Geometric Distribution u Geometric Probability Geometric probability calculates the probability at a specifi ed value , and the number of the trial o[...]

  • Página 368

    20070201 u Geometric Cumulative Density Geometric cumulative density calculates a cumulativ e probability at specifi ed value , the number of the trial on which the fi rst success occurs, f or the discrete geometr ic distribution with the specifi ed probability of success . P erform the following k ey oper ations from the statistical data list. [...]

  • Página 369

    20070201 Financial Calculation (TVM) The TVM mode provides y ou with the tools to perf orm the f ollowing types of fi nancial calculations. • Simple interest • Compound interest • Cash Flow (In vestment appraisal) • Amor tization • Interest rate con v ersion (annual percentage rate and eff ective interest r ate) • Cost, selling price, [...]

  • Página 370

    20070201 7-1 Bef ore P erforming Financial Calculations F rom the Main Menu, enter the TVM mode and display the Financial screen lik e the one shown below . Financial 1 screen Financial 2 screen • { SMPL } … {simple interest} • { CMPD } … {compound interest} • { CASH } … {cash fl o w (inv estment appraisal)} • { AMT } … {amor tizat[...]

  • Página 371

    20070201 7-1-2 Before P erforming Financial Calculations k Graphing in the TVM Mode After performing a fi nancial calculation, y ou can use 6 (GRPH) to graph the results as shown below . • Pressing 1 (T race) or !1 (TRCE) while a graph is on the displa y activates T race , which can be used to look up other fi nancial v alues. In the case of si[...]

  • Página 372

    20070201 7-2 Simple Interest This calculator uses the follo wing f ormulas to calculate simple interest. u Formula 365-day Mode SI : interest n : number of interest 360-day Mode periods PV : pr incipal I % : annual interest SFV : pr incipal plus interest Press 1 (SMPL) from the Financial 1 screen to display the f ollowing input screen f or simple i[...]

  • Página 373

    20070201 7-2-2 Simple Interest Use the follo wing function menus to maneuv er between calculation result screens. • { REPT } … {parameter input screen} • { GRPH } … {draws g raph} After drawing a g raph, y ou can press !1 (TRCE) to tur n on trace and read calculation results along the graph. Each press of e while trace is tur ned on cycles [...]

  • Página 374

    20070201 7-3-1 Compound Interest PV : present v alue FV : future v alue PMT : payment n : number of compound per iods I % : annual interest rate i is calculated using Newton’ s Method. S = 0 assumed for end of term S = 1 assumed for beginning of term F ( i ) = Formula I u Formula II ( I % = 0) Here: i (1 + i ) n (1 + i × S ) [ (1 + i ) n –1 ] [...]

  • Página 375

    20070201 • A deposit is indicated by a plus sign (+), while a withdra wal is indicated by a minus sign (–). u Con verting between the nominal interest rate and effective interest rate The nominal interest rate ( I % value input by user) is con verted to an effectiv e interest rate ( I % ' ) when the number of installments per year ( P/Y ) [...]

  • Página 376

    20070201 Press 2 (CMPD) from the Financial 1 screen to display the f ollowing input screen f or compound interest. 2 (CMPD) n .................................. number of compound periods I % ................................ annual interest rate PV ............................... present value (loan amount in case of loan; principal in case of savi[...]

  • Página 377

    20070201 7-3-4 Compound Interest After confi guring the parameters, use one of the function men us noted below to perf orm the corresponding calculation. • { n } … {number of compound periods} • { I% } … {annual interest rate} • { PV } … {present value} (Loan: loan amount; Savings: balance) • { PMT } … {payment} (Loan: installment;[...]

  • Página 378

    20070201 7-4 Cash Flow (In vestment Appraisal) This calculator uses the discounted cash fl o w (DCF) method to perform inv estment appraisal by totalling cash fl ow f or a fi x ed per iod. This calculator can perf or m the following f our types of inv estment appraisal. • Net present value ( NPV ) • Net future value ( NFV ) • Inter nal rat[...]

  • Página 379

    20070201 u PBP n : Smallest positive integer that satisfi es the conditions NPV n < 0, NPV n +1 > 0, or 0. • Press 3 (CASH) from the Financial 1 screen to display the f ollowing input screen for Cash Flow . 3 (CASH) I % ................................ interest rate (%) Csh .............................. list for cash fl ow If you ha ve n[...]

  • Página 380

    20070201 Use the follo wing function menus to maneuv er between calculation result screens. • { REPT } … {parameter input screen} • { GRPH } … {draws g raph} After drawing a g raph, y ou can press !1 (TRCE) to tur n on trace and read calculation results along the graph. Press J to retur n to the parameter input screen. 7-4-3 Cash Flow (In v[...]

  • Página 381

    20070201 7-5 Amor tization This calculator can be used to calculate the principal and interest por tion of a monthly installment, the remaining principal, and amount of principal and interest repaid up to any point. u Formula a : interest por tion of installment PM1 ( INT ) b : principal por tion of installment PM1 ( PRN ) c : balance of principal [...]

  • Página 382

    20070201 BAL 0 = PV ( INT 1 = 0 and PRN 1 = PMT at beginning of installment ter m) u Con verting between the nominal interest rate and effective interest rate The nominal interest rate ( I % value input by user) is con verted to an effectiv e interest rate ( I % ' ) for installment loans where the n umber of installments per year is diff erent[...]

  • Página 383

    20070201 7-5-3 Amor tization After confi guring the parameters, use one of the function men us noted below to perf orm the corresponding calculation. • { BA L } … {balance of pr incipal after installment PM2} • { INT } … {interest por tion of installment PM1} • { PRN } … {principal por tion of installment PM1} • { Σ INT } … {total[...]

  • Página 384

    20070201 7-6 Interest Rate Con version The procedures in this section describe how to conv er t between the annual percentage rate and effectiv e interest rate. u Formula APR : annual percentage rate (%) EFF : effectiv e interest rate (%) n : number of compoundings Press 5 (CNVT) from the Financial 1 screen to display the f ollowing input screen f [...]

  • Página 385

    20070201 7-7 Cost, Selling Price, Margin Cost, selling price, or margin can be calculated by inputting the other two v alues. u Formula CST : cost SEL : selling price MRG : margin Press 1 (COST) from the Financial 2 screen to display the f ollowing input screen. 6 ( g ) 1 (COST) Cst ................................ cost Sel ........................[...]

  • Página 386

    20070201 7-8 Da y/Date Calculations Y ou can calculate the number of days betw een two dates, or y ou can determine what date comes a specifi c number of da ys before or after another date. Press 2 (DA YS) from the Financial 2 screen to display the f ollowing input screen f or da y/ date calculation. 6 ( g ) 2 (DA YS) d1 ..........................[...]

  • Página 387

    20070201 Input the month, day , and year , pressing w after each. After confi guring the parameters, use one of the function men us noted below to perf orm the corresponding calculation. • { PRD } … {number of da ys from d1 to d2 (d2 – d1)} • { d1+D } … {d1 plus a number of da ys (d1 + D)} • { d1–D } … {d1 minus a number of da ys ([...]

  • Página 388

    20070201 Pr ogramming 8-1 Basic Programming Steps 8-2 PRGM Mode Function Ke ys 8-3 Editing Program Contents 8-4 File Management 8-5 Command Reference 8-6 Using Calculator Functions in Programs 8-7 PRGM Mode Command List 8-8 Program Library This unit comes with approximately 64 Kb ytes of memor y . • Y ou can check how much memory has been used an[...]

  • Página 389

    20070201 8-1 Basic Programming Steps Description Commands and calculations are ex ecuted sequentially , just like manual calculation multistatements. Set Up 1. From the Main Menu, enter the PRGM mode. When y ou do , a program list appears on the display . Selected program area (use f and c to mov e) Files are listed in the alphabetic sequence of th[...]

  • Página 390

    20070201 Example 1 T o calculate the surface area (cm 2 ) and volume (cm 3 ) of three regular octahedrons when the length of one side is 7, 10, and 15 cm, respectively Store the calculation formula under the fi le name OCT A. The follo wing are the f ormulas used for calculating surf ace area S and volume V of a regular octahedron for which the le[...]

  • Página 391

    20070201 8-2 PRGM Mode Function Ke ys • { NEW } ... {new program} u When you are registering a fi le name • { RU N } / { BASE } ... {general calculation}/{number base} program input • { Q } ... {pass word registration} • { SYBL } ... {symbol menu} u When you are inputting a pr ogram —— 1 (RUN) … def ault • { TO P } / { BTM } ... {t[...]

  • Página 392

    20070201 u When you are inputting a program —— 2 (B ASE) * 1 • { TO P } / { BTM } / { SRC } • { MENU } • { d~o } ... {decimal}/{hexadecimal}/{binary}/{octal} value input • { LOG } ... {logical operators} • { DISP } ... conversion of displa yed value to {decimal}/{he xadecimal}/{binar y}/{octal} • { A ↔ a } / { CHAR } • Pressing [...]

  • Página 393

    20070201 8-3-1 Editing Program Contents 8-3 Editing Program Contents k Debugging a Pr ogram A problem in a progr am that keeps the progr am from running correctly is called a “ bug, ” and the process of eliminating such problems is called “ debugging. ” Either of the follo wing symptoms indicates that your progr am contains bugs that requir[...]

  • Página 394

    20070201 k Using an Existing Program to Create a New Pr ogram Sometimes you can input a ne w program b y using a program already in memory as a base. Simply recall the existing prog ram, make the changes y ou need, and then execute it. Example 2 T o use the OCT A program (page 8-1-2) to create a program that calculates the surface area (cm 2 ) and [...]

  • Página 395

    20070201 8-3-3 Editing Program Contents Now edit OCT A to produce the TETRA program. 1. Edit the program name. 6 ( g ) 2 (REN) A TETRA w 2. Edit the program contents. 2 (EDIT) eeeeee DD c D bc J 3. T r y r unning the program. 1 (EXE) or w h w (V alue of A) w w w ba w w w w bf w w[...]

  • Página 396

    20070201 8-3-4 Editing Program Contents k Searching f or Data Inside a Program Example T o search f or the letter “A” inside the program named OCT A 1. Recall the program. 2. Press 3 (SRC) and input the data you want to fi nd. 3 (SRC) av (A) 3. Press w to begin the search. The contents of the program appear on the screen with the cursor locate[...]

  • Página 397

    20070201 8-4-1 File Management 8-4 File Management k Searching f or a File u To fi nd a fi le using initial character search Example T o use initial character searc h to recall the program named OCT A 1. While the program list is on the display , press 6 ( g ) 1 (SRC) and input the initial characters of the fi le y ou want to fi nd. 6 ( g ) 1 ([...]

  • Página 398

    20070201 8-4-2 File Management k Editing a fi le name Example T o change the name of a fi le from TRIANGLE to ANGLE 1. While the program list is on the display , use f and c to move the highlighting to the fi le whose name y ou want to edit and then press 6 ( g ) 2 (REN). 2. Make any changes you w ant. DDD 3. Press w to register the new name and[...]

  • Página 399

    20070201 8-4-3 File Management u T o delete all programs 1. While the program list is on the display , press 5 (DEL • A). 2. Press 1 (Y es) to delete all the programs in the list or 6 (No) to abor t the operation without deleting anything. • Y ou also can delete all programs by entering the MEMOR Y mode from the Main Menu, and then pressing 1 ([...]

  • Página 400

    20070201 8-4-4 File Management 3. Press w to register the fi le name and passw ord. Now you can input the contents of the program fi le. 4. After inputting the program, press !J (QUIT) to exit the progr am fi le and return to the program list. Files that are password protected are indicated by an asterisk to the right of the fi le name. k Recal[...]

  • Página 401

    20070201 8-5-1 Command Reference 8-5 Command Reference k Command Index Break ............................................................................................................... 8-5-6 ClrGraph ....................................................................................................... 8-5-12 ClrList ...........................[...]

  • Página 402

    20070201 8-5-2 Command Reference The follo wing are conv entions that are used in this section when descr ibing the various commands. Boldface T ext ................ Actual commands and other items that alwa ys must be input are shown in boldf ace. {Curly Brack ets} ............ Curly brackets are used to enclose a n umber of items, one of which mu[...]

  • Página 403

    20070201 8-5-3 Command Reference ^ ( Output Command) Function: Displays an intermediate result during program e x ecution. Description: • This command momentarily interr upts program e xecution and displa ys alpha character text or the result of the calculation immediately before the command. • The output command should be used at locations whe[...]

  • Página 404

    20070201 k Program Commands (COM) If~Then~(Else~)IfEnd Function: The Then-statement is e xecuted only when the If-condition is true (non-zero). The Else-statement is e xecuted when the If-condition is f alse (0). The IfEnd- statement is alwa ys e xecuted f ollowing either the Then-statement or Else-statement. Syntax: If <condition> _ : ^ Then[...]

  • Página 405

    20070201 8-5-5 Command Reference Description: • The default step v alue is 1. • Making the star ting value less than the ending value and specifying a positiv e step value causes the control variable to be incremented with each e xecution. Making the star ting value g reater than the ending value and specifying a negativ e step value causes the[...]

  • Página 406

    20070201 8-5-6 Command Reference While~WhileEnd Function: This command repeats specifi c commands as long as its condition is true (non- zero). Syntax: While < condition > _ : ^ <statement> _ : ^ WhileEnd numeric expression Parameters: expression Description: • This command repeats the commands contained in the loop as long as its co[...]

  • Página 407

    20070201 8-5-7 Command Reference Prog Function: This command specifi es e xecution of another program as a subroutine. In the RU N • MA T mode, this command ex ecutes a new program. Syntax: Prog ”fi le name” Example: Prog ”ABC” Description: • Even when this command is located inside of a loop , its e xecution immediately breaks the lo[...]

  • Página 408

    20070201 8-5-8 Command Reference Return Function: This command retur ns from a subroutine. Syntax: Return Description: Execution of the Return command inside a main routine causes e xecution of the prog ram to stop . Execution of the Return command within a subroutine ter minates the subroutine and returns to the program from which the subroutine w[...]

  • Página 409

    20070201 8-5-9 Command Reference k Jump Commands (JUMP) Dsz Function: This command is a count jump that decrements the value of a control v ariable by 1, and then jumps if the current value of the v ar iable is zero . Syntax: V ariable V alue ≠ 0 Dsz <variable name> : <statement> _ : ^ <statement> V ariable V alue = 0 Parameters[...]

  • Página 410

    20070201 8-5-10 Command Reference Goto~Lbl Function: This command performs an unconditional jump to a specifi ed location. Syntax: Goto <label name> ~ Lbl <label name> Parameters: label name: v alue (0 to 9), variable (A to Z, r , θ ) Description: • This command consists of two par ts: Goto n (where n is a parameter as described abo[...]

  • Página 411

    20070201 Isz Function: This command is a count jump that increments the value of a control variable b y 1, and then jumps if the current value of the v ar iable is zero . Syntax: V ariable V alue ≠ 0 Isz <variable name> : <statement> _ : ^ <statement> V ariable V alue = 0 Parameters: variable name: A to Z, r , θ [Example] Isz A[...]

  • Página 412

    20070201 8-5-12 Command Reference k Clear Commands (CLR) ClrGraph Function: This command clears the graph screen and retur ns View Windo w settings to their INIT values . Syntax: ClrGraph Description: This command clears the graph screen during program ex ecution. ClrList Function: This command deletes list data. Syntax: ClrList <list name> C[...]

  • Página 413

    20070201 8-5-13 Command Reference k Display Commands (DISP) DispF-Tbl, DispR-Tbl No parameters Function: These commands display numeric tables. Description: • These commands generate numeric tables during program e x ecution in accordance with conditions defi ned within the progr am. • DispF-Tbl generates a function tab le, while DispR-Tbl gen[...]

  • Página 414

    20070201 8-5-14 Command Reference DrawR Σ -Con, DrawR Σ -Plt No parameters Function: These commands use values in a generated table to g raph a recursion e xpression with Σ a n ( Σ b n or Σ c n ) as the vertical axis and n as the horizontal axis. Description: • These commands graph recursion e xpressions in accordance with current conditions[...]

  • Página 415

    20070201 8-5-15 Command Reference k Input/Output Commands (I/O) Getkey Function: This command retur ns the code that corresponds to the last key pressed. Syntax: Getke y Description: • This command retur ns the code that corresponds to the last key pressed. Key Code 1 79 2 69 3 59 4 49 5 39 6 29 ! 78 K 68 J 58 m 48 a 77 x 67 M 57 J 47 f 28 c 37 d[...]

  • Página 416

    20070201 8-5-16 Command Reference Locate Function: This command displays alpha-numeric characters at a specifi c location on the te xt screen. Syntax: Locate <column number>, <line number>, <v alue> Locate <column number>, <line number>, <numeric e xpression> Locate <column number>, <line number>, ?[...]

  • Página 417

    20070201 8-5-17 Command Reference Receive ( / Send ( Function: This command receives data from and sends data to a connected device . Syntax: Receive (<data>) / Send (<data>) Description: • This command receives data from and sends data to a connected de vice. • The following types of data can be receiv ed (sent) by this command. ?[...]

  • Página 418

    20070201 8-5-18 Command Reference k Conditional Jump Relational Operator s (REL) =, ≠ , >, <, ≥ , ≤ Function: These relational operators are used in combination with the conditional jump command. Syntax: <left side> <relational operator> <right side> Parameters: left side/right side: variable (A to Z, r , θ ), numeric[...]

  • Página 419

    20070201 8-6 Using Calculator Functions in Programs k T ext Display Y ou can include text in a progr am by simply enclosing it betw een double quotation marks. Such text appears on the displa y dur ing program e xecution, which means you can add labels to input prompts and results. Program Display ”CASIO” CASIO ? → X ? ”X =” ? → X X = ?[...]

  • Página 420

    20070201 u T o calculate a scalar multiplication ( ` Row) Example 2 T o calculate the product of Ro w 2 of the matrix in Example 1 and the scalar 4 The follo wing is the syntax to use f or this program. ` Row 4 , A , 2 _ Row Matrix name Multiplier Mat A Executing this prog ram produces the f ollowing result. u T o calculate a scalar multiplication [...]

  • Página 421

    20070201 u T o add two ro ws (Row+) Example 4 T o add Row 2 to Ro w 3 of the matrix in Example 1 The follo wing is the syntax to use f or this program. Row+ A , 2 , 3 _ the row number to be added to the row number to be added Matrix name Mat A Executing this prog ram produces the f ollowing result. k Using Graph Functions in a Program Y ou can inco[...]

  • Página 422

    20070201 8-6-4 Using Calculator Functions in Programs u Syntax of other graphing functions • V -Window View Window <Xmin>, <Xmax>, <Xscale>, <Ymin>, <Ymax>, <Yscale>, <T θ min>, <T θ max>, <T θ pitch> StoV -Win <area of V -Win> .............. area: 1 to 6 RclV -Win <area of V -Win&[...]

  • Página 423

    20070201 k Using Dynamic Graph Functions in a Program Using Dynamic Graph functions in a program mak es it possible to perform repeated Dynamic Graph operations . The f ollowing shows how to specify the Dynamic Gr aph range inside a program. • Dynamic Graph range 1 → D Star t _ 5 → D End _ 1 → D pitch _ Example Program ClrGraph _ View Windo[...]

  • Página 424

    20070201 k Using T able & Graph Functions in a Program T able & Graph functions in a program can generate n umeric tables and perf orm graphing operations. The f ollowing shows various types of syntax y ou need to use when programming with T able & Graph functions. • T able range setting 1 → F Star t _ 5 → F End _ 1 → F pitch _ [...]

  • Página 425

    20070201 k Using Recursion T able & Graph Functions in a Program Incorporating Recursion T able & Graph functions in a prog ram lets you gener ate numeric tables and perf or m graphing operations. The f ollowing shows various types of syntax y ou need to use when programming with Recursion T able & Graph functions . • Recursion formul[...]

  • Página 426

    20070201 8-6-8 Using Calculator Functions in Programs 1 46232J 2 42 3 3 4 J 6221 5 2 6 3 7 6661 8 ! J 6251 9 ! J 6252JJJ 0 46243 Executing this prog ram produces the results shown here . Numeric T able Recursion graph k Using List Sort Functions in a Program These functions let you sort data in lists into ascending or descending order. • Ascendin[...]

  • Página 427

    20070201 k Using Solve Calculation Function in a Program The follo wing is the syntax f or using the Solve function in a prog ram. Solve( f ( x ), n , a , b ) Upper limit Lower limit Initial estimated value Example Program 1 Solve( 2X 2 + 7X – 9, 1, 0, 1) 1 K 41 • In the function f ( x ), only X can be used as a variable in the e xpression. Oth[...]

  • Página 428

    20070201 The graph conditions that are required depends on the gr aph type. See “Changing Gr aph P arameters” (page 6-1-2). • The following is a typical g raph condition specifi cation f or a scatter diagram or xy Line graph. S-Gph1 DrawOn, Scatter , List 1, List 2, 1, Square _ In the case of an xy line graph, replace “Scatter” in the ab[...]

  • Página 429

    20070201 8-6-11 Using Calculator Functions in Programs 1 !m6631 2 4121J 3 11J 4 24J 5 J4141 6 ! J 621 Executing this prog ram produces the scatter diagram sho wn here. k P erforming Statistical Calculations • Single-variable statistical calculation 1 1-V ar iable List1 , List 2 F requency data (F requency) x -axis data (XList) 1 4161 • The foll[...]

  • Página 430

    20070201 • P aired-variab le statistical calculation 1 2-V ar iable List 1 , List 2 , List 3 F requency data (F requency) y -axis data (YList) x -axis data (XList) 1 4162 • Regression statistical calculation 1 LinearReg List 1 , List 2 , List 3 Calculation type* 8-6-12 Using Calculator Functions in Programs F requency data (F requency) y -axis [...]

  • Página 431

    20070201 8-7-1 PRGM Mode Command List 8-7 PRGM Mode Command List Level 2 List L → M Dim Fill Seq Min Max Mean Med Aug Sum Prod Cuml % A Mat M → L Det Trn Aug Iden Dim Fill i Abs Arg Conj ReP ImP ' r ∠ ' a+bi Solve d/dx d 2 /dx 2 dx FMin FMax Σ ( logab ˆ x ˆ y sinh cosh tanh sinh -1 cosh -1 tanh -1 X! nPr nCr Ran# P( Q( R( t( Abs [...]

  • Página 432

    20070201 8-7-2 PRGM Mode Command List Level 1 V-WIN FACT STAT GRPH DYNA TABL RECR EQUA TVM Level 2 X Y T, R-X R-Y R-T, Xfct Yfct X Y GRPH PTS Y r Xt Yt X Strt End Pitch Strt End Pitch Reslt FORM RANG Reslt S-Rlt S-Cof P-Rlt P-Cof n I% PV PMT FV P/Y C/Y Level 3 min max scal dot min max scal min max ptch min max scal dot min max scal min max ptch n x[...]

  • Página 433

    20070201 8-7-3 PRGM Mode Command List Level 1 d~o LOG DISP Level 2 d h b o Neg Not and or xor xnor ' Dec ' Hex ' Bin ' Oct Level 3 C o m m a n d d h b o Neg_ Not_ and or xor xnor ' Dec ' Hex ' Bin ' Oct Level 1 Dec Hex Bin Oct Level 2 Level 3 Command Dec Hex Bin Oct [SHIFT][MENU](SET UP) key BASE Program [ F4[...]

  • Página 434

    20070201 8-8-1 Program Library 8-8 Program Library • Be sure to check how man y bytes of un used memor y are remaining before attempting to perform any progr amming. Program Name Prime Factorization Description This program continually divides a natur al number by f actors until all its pr ime factors are produced. Purpose This program accepts in[...]

  • Página 435

    20070201 8-8-2 Program Library egc w w ww w[...]

  • Página 436

    20070201 8-8-3 Program Library Program Name Arithmetic-Geometric Sequence Diff erentiation Description After inputting sequence terms 1, 2, and 3, this program determines whether it is an arithmetic sequence or geometric sequence based on the differences and ratios of the terms. Purpose This program determines whether a specifi c sequence is an ar[...]

  • Página 437

    20070201 8-8-4 Program Library Example 1 Example 2 f w f w ba w ba w bf ca ww[...]

  • Página 438

    20070201 8-8-5 Program Library Program Name Ellipse Description This program displa ys a number table of the follo wing v alues based on input of the foci of an ellipse, the sum of the distance between the loci and f oci, and the pitch (step size) of X. Y1: Coordinate values of upper half of ellipse Y2: Coordinate values of lower half of ellipse Y3[...]

  • Página 439

    20070201 8-8-6 Program Library d w ba w b w w[...]

  • Página 440

    20070201 8-8-7 Program Library Program Name Rotation Description This program dra ws an angle at the coordinate defi ned b y an input ver tex, and then rotates it to a specifi ed angle around the v er tex. Purpose This program demonstrates coordinate tr ansf ormation using a matr ix. Important! Deg must be set as the angle unit f or this program.[...]

  • Página 441

    20070201 8-8-8 Program Library d w fcde ... fcde ... w w fcde ... da w w fcde ... w[...]

  • Página 442

    20070201 8-8-9 Program Library Program Name Interior Angles and Surface Area of a T riangle Description This program calculates the interior angles and surf ace area of a triangle defi ned by input coordinates for angles A, B , and C. Purpose This program calculates the interior angles and surf ace area of a triangle defi ned by coordinates for a[...]

  • Página 443

    20070201 8-8-10 Program Library b a w a w b w a w a w!x ( ' ) d w[...]

  • Página 444

    20070201 9 Spreadsheet The Spreadsheet application provides y ou with pow erful, take- along-anywhere spreadsheet capabilities . 9-1 Spreadsheet Overview 9-2 File Operations and Re-calculation 9-3 Basic Spreadsheet Screen Operations 9-4 Inputting and Editing Cell Data 9-5 S • SHT Mode Commands 9-6 Statistical Graphs 9-7 Using the CALC Function 9-[...]

  • Página 445

    20070201 9-1 Spreadsheet Over view This section describes the Spreadsheet application screen, and provides basic information about its menus and commands. k Using the S • SHT Mode On the Main Menu, select the S • SHT icon. • This will enter the S • SHT mode and display a spreadsheet. • The fi rst time you enter the S • SHT mode, the ca[...]

  • Página 446

    20070201 k S • SHT Mode Function Menu • { FILE } … {displays the FILE submenu} • { NEW } … {creates a new spreadsheet fi le} • { OPEN } … {displays a list of pre viously saved spreadsheet fi les} Y ou can select a fi le on this list and open it or delete it. • { SV • A S } … {saves the displa yed spreadsheet under a new name [...]

  • Página 447

    20070201 • { SEQ } … {generates a numeric sequence the same wa y as the “Seq(” command (page 3-2-3)} The sequence star ts from a specifi ed cell, and can be confi gured to proceed in a line-wise or column-wise direction. The direction is the one specifi ed by the “Mo v e” setting on the Setup screen (page 1-8-5). • { FILL } … {di[...]

  • Página 448

    20070201 • { ST O } … {displays the ST O submenu} • { VA R } … {assigns the contents of a cell to a variable} • { LIST } … {sav es the contents of a range of cells as a list} • { FILE } … {sav es the contents of a range of cells as a fi le} • { MA T } … {saves the contents of a r ange of cells as a matrix} • { RCL } … {disp[...]

  • Página 449

    20070201 9-2-1 File Operations and Re-calculation 9-2 File Operations and Re-calculation This section explains the v ar ious operations you can perf or m with S • SHT mode fi les. It also tells you ho w to re-calculate the formulas in a spreadsheet. k Spreadsheet File Operations u T o create a new fi le 1. In the S • SHT mode, press 1 (FILE) [...]

  • Página 450

    20070201 9-2-2 File Operations and Re-calculation u T o open a fi le 1. In the S • SHT mode, press 1 (FILE) 2 (OPEN). • This will display a list of e xisting spreadsheet fi les. 2. Use f and c to highlight the name of the fi le you w ant to open. 3. Press w . • This will open the spreadsheet you selected in step 2. u T o delete a fi le 1.[...]

  • Página 451

    20070201 9-2-3 File Operations and Re-calculation u T o save a fi le under a new name (Save As) 1. In the S • SHT mode, press 1 (FILE) 3 (SV • AS). • This will display a dialog bo x f or entering a fi le name. 2. Enter up to eight characters for the fi le name , and then press w . k About A uto Save The S • SHT mode has an Auto Sav e f e[...]

  • Página 452

    20070201 9-3-1 Basic Spreadsheet Screen Operations 9-3 Basic Spreadsheet Screen Operations This section explains basic procedures f or selecting cells and moving the cell cursor on a spreadsheet. k Cell Cursor The cell cursor is the highlighting showing the cell or cells that are currently selected on a spreadsheet. • While a single cell is selec[...]

  • Página 453

    20070201 u T o move the cell cursor using the JUMP command T o move the cell cursor to here: Do this: A par ticular cell 1. Press 2 (EDIT) 4 (JUMP) 1 (GO). 2. On the “Go T o Cell” dialog box that appears , enter the name of the destination cell (A1 to Z999). 3. Press w . Line 1 of current column Press 2 (EDIT) 4 (JUMP) 2 (T OP ↑ ). Column A o[...]

  • Página 454

    20070201 u T o select an entire line While the cell cursor is located in any cell of Column A, press the d ke y . This will select the entire line where the cell cursor is located. If the cell cursor is located at cell A1, for e xample, pressing d will select all of line 1 (A1 to Z1). The edit box will sho w “A1:Z1”. u T o select an entire colu[...]

  • Página 455

    20070201 u T o select a rang e of cells 1. Move the cell cursor to the start cell of the range you w ant to select. 2. Press ! i (CLIP). • This will cause the cell cursor to change from highlighting to a thick-line boundary . • As you mov e the cell cursor , the edit box will show the range of cells that are currently selected. 3. Use the curso[...]

  • Página 456

    20070201 9-4 Inputting and Editing Cell Data This section explains ho w to input and edit f ormulas, text, and other spreadsheet cell data. It cov ers how to cop y , inser t, and delete cells. Note that the S • SHT mode does not suppor t complex n umber data. k Basic Cell Data Input Y ou need to enter the edit mode in order to input data into a c[...]

  • Página 457

    20070201 u T o replace a cell’ s current contents with new input 1. Move the cell cursor to the cell where you w ant to input data. 2. Input the desired data. Use the calculator’ s keys to input v alues, math e xpressions, or te xt, and the function menus to input commands. • The calculator enters the edit mode as soon as you star t input, so[...]

  • Página 458

    20070201 2. Press 2 (EDIT) 3 (CELL). • This will enter the edit mode, which is indicated by the cell contents in the edit box changing to fl ush left. The input cursor also will appear to the left of the fi rst character of the edit bo x. 3. Edit the data in the edit box. 4. After everything is the wa y you w ant, press w . • If “A uto Calc[...]

  • Página 459

    20070201 u Formula Input Example In this example , we will input the 60 into cell A1, and then input the f ollowing f or mulas into the indicated cells: B1: =sin(A1), B2: =cos(A1), B3: =tan(A1), B4: =B1/B2 We will also sho w that the v alues produced by B3 and B4 are the same e v en if we change the value of A1, so sin ( x ) ÷ cos ( x ) = tan ( x [...]

  • Página 460

    20070201 9-4-5 Inputting and Editing Cell Data k Using Cell References A cell reference is a symbol that ref erences the value of one cell f or use by another cell. If you input “=A1+B1” into cell C2, f or e xample, the Spreadsheet will add the current v alue of cell A1 to the current value of cell B1, and displa y the result in cell C2. There [...]

  • Página 461

    20070201 9-4-6 Inputting and Editing Cell Data k Referencing a P articular Cell The follo wing procedure shows ho w to reference A1 (which contains the v alue 3) and perform the calculation A1 × 2. u T o reference a par ticular cell 1. Move the cell cursor to cell A2, and then input ! . (=). 2. Press 1 (GRAB). • This enters the Grab mode, which [...]

  • Página 462

    20070201 9-4-7 Inputting and Editing Cell Data 5. Next, input *c . 6. Press w to store the formula. Result of A1 × 2 k Referencing a Range of Cells Y ou can reference a range of cells to obtain their sum, mean, etc. The follo wing procedure input a f ormula to deter mine the sum of cells A6 through B7, and inputs the result in cell A4. This proced[...]

  • Página 463

    20070201 9-4-8 Inputting and Editing Cell Data 5. Press ! i (CLIP). • This will cause the cell cursor to change from highlighting to a thick-line boundary . 6. Use the cursor keys to mov e the cell cursor to the last cell of the range you w ant to select (B7 in this example). • Y ou can use the function menu keys 2 through 6 for cell cursor mo [...]

  • Página 464

    20070201 9-4-9 Inputting and Editing Cell Data k Inputting the Absolute Reference Symbol ($) Y ou can input the absolute reference symbol at the current cursor position b y pressing the 2 ($) key of the edit mode function men u. See “Absolute Cell Ref erences” (page 9-4-5) for more information. u T o input the absolute reference symbol Example [...]

  • Página 465

    20070201 9-4-10 Inputting and Editing Cell Data k Inputting a Constant An expression or v alue that you input without an equal (=) in front of it is called a “constant”, because the value is not aff ected by anything outside of the cell where it is located. If you input a math e xpression as a constant, the cell shows its result. A “Syntax ER[...]

  • Página 466

    20070201 9-4-11 Inputting and Editing Cell Data k Inputting T ext A text string starting with a quote mar k (") is treated as text, and displa yed as-is. The quote mark (") is not display ed as par t of the text. Up to six characters can be display ed by the cell. If the text cannot fi t into a single cell, it extends into the ne xt cell[...]

  • Página 467

    20070201 9-4-12 Inputting and Editing Cell Data 3. Enter the required items to generate the sequence. • The follo wing describes the required input items. Item Description Expr Function f ( x ) for generating the sequence V ar Name of the variable in the function f ( x ) Even if a function has only one v ar iable, its name m ust be defi ned here[...]

  • Página 468

    20070201 k Filling a Range of Cells with the Same Content Y ou can use the follo wing procedure to fi ll a range of cells with the same f or mula, expression, value , or te xt. u To fi ll a rang e of cells with the same content Example T o use the “FILL ” command to fi ll cells A2 through B3 with the form ula = A1+1 The A1 cell name of the f[...]

  • Página 469

    20070201 4. Press w . 5. Press 6 (EXE) or the w key . • This ex ecutes the “FILL ” command and fi lls the specifi ed content into the specifi ed range of cells. The A1 cell ref erence is a relative ref erence. The f ollowing shows the f ormulas that are actually input into each cell. A B 2 =A1+1 =B1+1 3 =A2+1 =B2+1 9-4-14 Inputting and Edi[...]

  • Página 470

    20070201 9-4-15 Inputting and Editing Cell Data k Cut and P aste Y ou can use the procedures in this section to cut the data in one location of a spreadsheet and paste in another location. Y ou can cut the contents of a single cell or a range of cells. u How cut and paste affects cell ref erences The cut and paste operation has special rules that g[...]

  • Página 471

    20070201 • When a cell within the cut area is referencing a cell that also is within the cut area In this case all cell references are treated as relativ e cell references, no matter what type they actually are (absolute or relativ e). Example Let’ s say we have a spreadsheet that contains the f ollowing data: A1: 4, B1: =A1+1, C1: = $B$1+2. Cu[...]

  • Página 472

    20070201 3. Use the cursor keys to mov e the cell cursor to the cell from which you want to paste the data. • If you selected a range of cells in step 1, the cell y ou select with the cell cursor will be the upper left cell of the paste range. If you cut the A1:B2 range of cells, locating the cell cursor at cell C1 will paste the cells at C1:D2. [...]

  • Página 473

    20070201 3. Use the cursor keys to mov e the cell cursor to the cell from which you want to paste the data. • If you selected a range of cells in step 1, the cell y ou select with the cell cursor will be the upper left cell of the paste range. If you copy the A1:B2 r ange of cells, locating the cell cursor at cell C1 will paste the cells at C1:D2[...]

  • Página 474

    20070201 k Sorting Spreadsheet Data Spreadsheet data can be sor ted column-wise or line-wise. Y ou can select either ascending sor t or descending sor t. Important! • Sor ting can be performed only when the selected range of cells contains all constants. u T o sor t spreadsheet data 1. Select the ser ies of cells in a single row or a single colum[...]

  • Página 475

    20070201 3. Use the DEL submenu to perform the operation you want. When you want to do this: Press this key: Delete the entire row(s) of the currently selected cell(s), and shift anything below upw ards. 1 (RO W) Delete the entire column(s) of the currently selected cell(s), and shift anything to the right leftwards. 2 (COL) • T o exit the DEL su[...]

  • Página 476

    20070201 u T o inser t lines or columns of blank cells 1. Select one or more cells to specify how many lines or columns you w ant to inser t. • Selection rules are the same as those for line and column deletion. See step 1 under “T o delete an entire line or column of cells” (page 9-4-19) f or more inf ormation. 2. Press 4 (INS) to display th[...]

  • Página 477

    20070201 9-5 S • SHT Mode Commands This section explains ho w to use the S • SHT mode commands. u T o input a S • SHT mode command 1. Select the cells where you want to input the f ormula that contains the S • SHT mode command. 2. Press 2 (EDIT) 3 (CELL) or ! . (=) to enter the edit mode. • 2 (EDIT) 3 (CELL) can be used if the selected ce[...]

  • Página 478

    20070201 k S • SHT Mode Command Reference This section provides details about the function and syntax of each command, as well as practical e xamples of how to use them. Note that you can omit an ything enclosed in brack ets ([ ]) in the Syntax of each command. u CellIf( Function: Returns expression 1 when the equation or inequality is true, and [...]

  • Página 479

    20070201 u CellMax( Function: Retur ns the greatest v alue contained in the range of specifi ed cells . Syntax: CellMax( star t cell : end cell [ ) ] Example: T o deter mine the greatest value in the b lock whose upper left cor ner is located at A3 and whose lower right corner is located at C5, and input the result in cell A1: u CellMean( Function[...]

  • Página 480

    20070201 u CellSum( Function: Retur ns the sum of the values contained in the r ange of specifi ed cells. Syntax: CellSum( star t cell : end cell [ ) ] Example: T o determine the sum of the values in the bloc k whose upper left corner is located at A3 and whose lower right corner is located at C5, and input the result in cell A1: u CellProd( Funct[...]

  • Página 481

    20070201 9-6-1 Statistical Graphs 9-6 Statistical Graphs This section explains ho w to graph the data in a spreadsheet. k Overview Except for selection of the data to be g raphed, the graph oper ations you can use in the S • SHT mode are basically the same as those in the S TAT mode. This section explains the differences betw een the S • SHT mo[...]

  • Página 482

    20070201 9-6-2 Statistical Graphs k Confi guring Graph P arameter Settings Pressing 6 (SET) on the GRPH submenu displays a g raph settings screen like the one shown below . In the ST A T mode, you can g raph data input with the List Editor . In the S • SHT mode, you can graph the data input into the spreadsheet cells . Because of this, the pur p[...]

  • Página 483

    20070201 9-6-3 Statistical Graphs k Graphing Statistical Data The follo wing shows an actual e xample of how to graph statistical data in the S • SHT mode. It also explains v ar ious methods you can use to specify the range of cells that contains the graph data. u T o graph statistical data Example: Input the following data into a spreadsheet, an[...]

  • Página 484

    20070201 9-6-4 Statistical Graphs 5. Confi gure the g raph setup settings. • For inf ormation about confi guring the Graph T ype and Mar k T ype settings, see “1. General graph settings” on page 6-1-2, “6-2 Calculating and Graphing Single-V ariable Statistical Data”, and “6-3 Calculating and Gr aphing P aired-V ariable Statistical Dat[...]

  • Página 485

    20070201 9-6-5 Statistical Graphs k Confi guring Range Settings for Graph Data Cells The XCellRange and YCellRange settings on the graph settings screen are confi gured automatically in accordance with the cells you select on the spreadsheet. Y ou can use the procedure below to change these settings manually , if you want. Note that the automatic[...]

  • Página 486

    20070201 9-6-6 Statistical Graphs k Confi guring the Frequency Setting The frequency is a value that specifi es how man y times each of the statistical data items is repeated. A value of 1 is the initial def ault for this setting. With this setting, each data item ( x ) or data pair ( x , y ) is represented as one point on the graph. In cases whe[...]

  • Página 487

    20070201 9-7-1 Using the CALC Function 9-7 Using the CALC Function This section explains ho w to use the CALC function to perf orm statistical calculations on spreadsheet data. k Overview Except for selection of the data, the statistical calculation oper ations you can use in the S • SHT mode are basically the same as those in the S TAT mode. Thi[...]

  • Página 488

    20070201 9-7-2 Using the CALC Function k Confi guring Statistical Calculation Data Settings T o execute a statistical calculation in the S • SHT mode, y ou need to input the data on the spreadsheet and defi ne the range of cells where the data is located as statistical calculation cells. T o defi ne statistical calculation cells, press 6 (SET)[...]

  • Página 489

    20070201 9-7-3 Using the CALC Function k Executing a Statistical Calculation The follo wing shows an actual e xample of how to perform a statistical calculation in the S • SHT mode. u T o execute a statistical calculation Example T o input the data shown below into a spreadsheet, and then to perform paired-variable statistical calculations and re[...]

  • Página 490

    20070201 9-7-4 Using the CALC Function 9. Press J2 (2V AR). • This will display the paired-variab le statistical calculation result list. Y ou can use the up and down cursor ke ys to scroll the result screen. • For inf ormation about the meaning of each of the values on the result screen, see “Displaying the Calculation Results of a Dr awn P [...]

  • Página 491

    20070201 9-8-1 Using Memory in the S • SHT Mode 9-8 Using Memor y in the S • SHT Mode This section explains ho w to sav e spreadsheet data to memor y , and how to import memor y data into a spreadsheet. k Saving Spreadsheet Data Y ou can assign spreadsheet data to a variable , or sav e it to List Memory , File Memor y , or Mat Memory . k Assign[...]

  • Página 492

    20070201 9-8-2 Using Memory in the S • SHT Mode k Saving Spreadsheet Data to List Memory Y ou can use the follo wing procedure to select a series of cells in a par ticular column or row and sav e their data to List Memory (List 1 through List 26). u T o save the contents of a range of cells to List Memory 1. Select the range of cells whose data y[...]

  • Página 493

    20070201 9-8-3 Using Memory in the S • SHT Mode u T o save the contents of a range of cells to File Memory 1. Select the range of cells whose data you want to sa ve in File Memory . 2. Press 6 ( g ) 3 (STO) 3 (FILE). • The “Cell Range” setting will show the range of cells you selected in step 1. 3. Press c to move the highlighting to “Fil[...]

  • Página 494

    20070201 k Recalling Data from Memory The procedures in this section explain ho w to recall data from List Memory , File Memory , and Mat Memory , and input it into a spreadsheet star ting from a specifi c cell. It also explains how to use variables in spreadsheet constants and f or mulas. Note When recalling List Memory , File Memor y , or Mat Me[...]

  • Página 495

    20070201 u T o recall data from a File Memory to a spreadsheet 1. On the spreadsheet, select the upper left cell of the range where you want the recalled data to be input. 2. Press 6 ( g ) 4 (RCL) 2 (FILE) to display a data recall screen lik e the one shown below . • The “1st Cell” setting will show the name of the cell you selected in step 1[...]

  • Página 496

    20070201 eActivity An eActivity is both a documentation tool and a student notebook. As a documentation tool, a teacher can create electronic e xamples and practice prob lems with accompanying te xt, mathematical e xpressions, gr aphs, and tab les. eActivities also provide the student the means to e xplore problems, document their learning and prob[...]

  • Página 497

    20070201 10-1 eActivity Over view eActivity lets you input and edit te xt, mathematical expressions, and application data, and sav e your input in a fi le called an “eActivity”. k Using the e • A CT Mode On the Main Menu, select the e • AC T icon. • This displays a fi le list screen lik e the ones shown below . When there are no fi les[...]

  • Página 498

    20070201 k W orkspace Screen Function Menu Opening an eActivity fi le displa ys a workspace screen that shows the current contents of the eActivity . The sample below shows the parts that make up the eActivity workspace. Note that not all of the eActivity can be display ed in a single screen. The heavy line in the example sho ws what is currently [...]

  • Página 499

    20070201 k T ext Line Function Menu • { FILE } … {displays the FILE submenu} • { SA VE } … {sav es the fi le y ou are editing, ov erwr iting the previous (unedited) v ersion} • { SV • AS } … {saves the fi le you are editing under a ne w name (Save As)} • { OPT } … {performs Storage Memory garbage collection} F or more inf ormati[...]

  • Página 500

    20070201 k Math Line and Stop Line Function Menu • { FILE } … Same as {FILE} under “T ext Line Function Men u” (page 10-1-3). • { STRP } … Same as {STRP} under “T ext Line Function Men u” (page 10-1-3). • { CALC } … {changes the current line from a math line to a text line} • { MA TH } … {displays a MA TH menu for natur al i[...]

  • Página 501

    20070201 10-1-5 eActivity Overview k Strip Function Menu • { FILE } … Same as {FILE} under “T ext Line Function Men u” (page 10-1-3) except f or {SIZE}. • { SIZE } … {displays the siz e of the strip that is currently selected or where the cursor is currently located} • { STRP } … Same as {STRP} under “T ext Line Function Men u” [...]

  • Página 502

    20070201 10-1-6 eActivity Overview 1. Fr om the main menu, enter the e • ACT mode. 2. Create a new eActivity fi le. 1. Press 2 (NEW). 2. On the dialog box that appears, enter up to eight characters f or the eActivity fi le name, and then press w . • This will display a b lank workspace screen with a text line cursor (f or text line input). T [...]

  • Página 503

    20070201 10-1-7 eActivity Overview 2. Specify the Solve calculation, and then enter the function. A K 4 (CALC) 1 (Solve) c vx + v -d, 3. Input the initial estimate value, the low er limit, and the upper limit. a,a,ba) 4. Press w to solve for x . • This will display the solution ( x = 1) and move the cursor to the beginning of the next line . 5. P[...]

  • Página 504

    20070201 10-1-8 eActivity Overview 6. Graph the expression using the Graph strip. 1. While the “Graph dra w” Graph strip you created in step 5 is selected, press w . • This will display a gr aph screen. 2. Press !6 (G ↔ T) to display the Gr aph Editor screen. 3. In line Y1, input the function ( y = 2 x 2 + x – 3) you want to g raph. 4. Pr[...]

  • Página 505

    20070201 10-2 W orking with eActivity Files This section explains the diff erent fi le operations you can perf or m from the eActivity fi le list screen. k eActivity File Operations u T o create a new fi le 1. If you want to create the fi le in a specifi c f older , use f and c to highlight the folder you w ant, and then press 1 (OPEN) or w . [...]

  • Página 506

    20070201 u T o open a fi le 1. If the fi le y ou want to open is in a folder , use f and c to highlight the folder , and then press 1 (OPEN) or w . 2. Use f and c to highlight the fi le you w ant to open, and then press 1 (OPEN) or w * 1 . • This will open the fi le. u T o delete a fi le 1. If the fi le y ou want to delete is in a folder , [...]

  • Página 507

    20070201 10-3 Inputting and Editing eActivity File Data The follo wing shows the type of eActivity fi le data you can input and edit. T ext lines Strip Math lines Stop line T ext line A text line can be used to input char acters, numbers , and e xpressions as non-ex ecutable text. Math lines Math lines let you perf or m calculations in an eActivit[...]

  • Página 508

    20070201 k Navigating ar ound the eActivity W orkspace Screen u T o scroll the eActivity workspace screen vertically The workspace screen can be scrolled line-by-line. • Pressing f while the cursor is in the top line of the workspace screen will scroll one line upwards. Pressing c while the cursor is in the bottom line will scroll one line downwa[...]

  • Página 509

    20070201 10-3-3 Inputting and Editing eActivity File Data u T o change the current line into a text line 1. On the eActivity wor kspace screen, check the menu of the 3 function key . • If the 3 ke y menu is “TEXT”, it means that the current line is already a te xt line. In this case, y ou can input text in the line without perf or ming step 2[...]

  • Página 510

    20070201 10-3-4 Inputting and Editing eActivity File Data u Inputting and Editing T ext Line Contents • Y ou can input up to 255 bytes of text into a te xt line. T ext in the te xt line wraps automatically to fi t inside the displa y area (W ord Wrap Function). Note, how ev er, that numeric expressions and commands do not wr ap .* 1 A word runni[...]

  • Página 511

    20070201 10-3-5 Inputting and Editing eActivity File Data u T o input a calculation formula into an eActivity 1. On the eActivity wor kspace screen, change the line where the cursor is currently located into a math line, or insert a new math line. • “T o change the current line into a math line” below • “T o inser t a math line” (page 1[...]

  • Página 512

    20070201 10-3-6 Inputting and Editing eActivity File Data u T o inser t a math line T o inser t a math line while the cursor is located here: Perf orm this key operation: In a math line 5 (INS) 2 (CALC) In a text line 6 ( g ) 3 (INS) 2 (CALC) In a str ip 3 (INS) 2 (CALC) The math line is inserted above the line or the strip where the cursor is curr[...]

  • Página 513

    20070201 10-3-7 Inputting and Editing eActivity File Data u Stop Line Example The follo wing screen shows ho w you can use stop lines to group calculation steps . A B A: Substituting a value ( π 6 here) for θ in the expression in line 1 e x ecutes (sin θ ) 2 + (cos θ ) 2 in line 3, and displays the result in line 4 (1). In this example, substit[...]

  • Página 514

    20070201 k Inserting a Strip A strip can be used to embed data from Graph, Conics Graph, Spreadsheet, and other applications into an eActivity . Note that only one application screen (either the Graph screen or Graph Editor screen in the case of GRAPH mode data, for e xample) can be used in each strip. A strip consists of a title fi eld on the lef[...]

  • Página 515

    20070201 u T o inser t a strip 1. Move the cursor to the location where you w ant to inser t the strip. 2. Press 2 (STRP). • This will display a dialog bo x with a list of inser table strips. 3. Use f and c to highlight the name of the strip for the type of data you w ant to embed. When you want to embed this type of data: Select this type of str[...]

  • Página 516

    20070201 When you want to embed this type of data: Select this type of strip: D YNA mode Dynamic Graph screen Dynamic Graph TVM mode Financial screen Financial S • SHT mode Spreadsheet screen SpreadSheet 4. Press w . • The strip is inser ted abov e the line or the strip where the cursor is currently located. 5. Press d or e to display the te xt[...]

  • Página 517

    20070201 10-3-11 Inputting and Editing eActivity File Data u T o change the title of a strip 1. Use f and c to highlight the strip whose title you w ant to change. 2. Input the new title. • Press d or e to display the te xt input cursor , and then edit the current title. • If you press a character k ey without pressing the d or e ke y fi rst, [...]

  • Página 518

    20070201 u T o call up an application from a strip 1. Use the f and c cursor keys to mov e the highlighting to the strip whose associated application you w ant to call up . 2. Press w . • The application screen will be blank the fi rst time you call it up after inserting a str ip . 3. Input data, graph, and perform any other operations y ou want[...]

  • Página 519

    20070201 u T o switch from an application screen called up fr om a strip to another application screen Press ! , ( , ). • On the application list that appears, use f and c to highlight the name of the screen to which you w ant to switch, and then press w . • Pressing ! , ( , ) while the screen that appears immediately after you enter a Graph st[...]

  • Página 520

    20070201 3. Press w to call up the graph screen. • Since you hav e not input any data yet, the graph screen that appears will be b lank. 4. Press !6 (G ↔ T) to display the Gr aph Editor screen. • This will display the current Graph strip’ s Graph relation list. Since this list is independent of the GRAPH mode Graph relation list, it will be[...]

  • Página 521

    20070201 u T able Editor Strip Example In this example , we use a T able Editor strip to input the function y = x 2 , and reference “List 1” of the List Editor for the x -variable range to gener ate a number table . Things to remember ... • Use the T able Editor to input the function y = x 2 . • Setup T able Editor (using the Setup screen) [...]

  • Página 522

    20070201 8. Call up the List Editor screen (page 6-1-1). • Press ! , ( , ) to display the application list, select List Editor , and then press w . 9. Input the values into List 1. 10. Retur n to the T able Editor screen. • Press ! , ( , ) to display the application list, select T able Editor , and then press w . 11. When the T able Editor scre[...]

  • Página 523

    20070201 u T o use copy and paste to draw a graph 1. Perf or m steps 1 through 7 under “T o create a Graph strip” (page 10-3-13) to create a Graph strip with the title “Gr aph dra w”. • After completing step 7, check to make sure the Graph strip is highlighted on the eActivity workspace screen. If it isn’t, use the f and c cursor ke ys [...]

  • Página 524

    20070201 k Using Notes Notes is a text editor that can be used only in eActivity . Y ou can call up the Notes screen from a Notes strip on the eActivity workspace screen. Y ou can perform the follo wing operations on a Notes screen. u Input and edit text T ext is input at the current cursor position on the Notes screen. Input, editing, cursor mov e[...]

  • Página 525

    20070201 k Deleting an eActivity Line or Strip Use the follo wing procedure to delete a line or strip from the eActivity workspace screen. Remember that deleting a math line deletes both the expression line and the result line . u T o delete a line or strip 1. Use the f and c cursor keys to mov e the highlighting to the strip you want to delete . 2[...]

  • Página 526

    20070201 k Saving an eActivity File After inputting or editing data on the eActivity workspace screen, you can sa ve it to a fi le under a new name (Sa ve As) or y ou can replace the pre viously sav ed v ersion of the fi le y ou are working on (Sav e). In the case of Save As , both the pre vious version and the ne w version of the fi le are sa v[...]

  • Página 527

    20070201 10-4 Using Matrix Editor and List Editor In addition to the strip operation for calling up application screens within eActivity (page 10-3-12), you can also use the eActivity function menu to call up Matrix Editor and List Editor . k Calling Up Matrix Editor Y ou can call up Matrix Editor to input a matr ix into a math line on the eActivit[...]

  • Página 528

    20070201 k Calling Up List Editor Y ou can call up List Editor to input a list into a math line on the eActivity workspace screen. Note The data you create b y calling up the List Editor using the procedure below can be used in the calculation line on the eActivity workspace screen only . It is diff erent from and independent of data you create b y[...]

  • Página 529

    20070201 10-5-1 eActivity File Memory Usage Screen 10-5 eActivity File Memory Usage Screen The size of an eActivity fi le is limited. Y ou can use the eActivity fi le memor y usage screen to check the current siz e and how much more memory is av ailable f or the eActivity fi le y ou are working on. Y ou can also display the size of the strip tha[...]

  • Página 530

    20070201 10-6 eActivity Guide eActivity Guide is a function that helps you na vigate through scientifi c function calculation operations. Y ou can perform calculator operations simply by f ollowing the instructions that appear on the display . • Using eActivity Guide to prepare lessons makes it possible f or students to become familiar with calc[...]

  • Página 531

    20070201 k Creating a Guide u T o enter the guide creation mode 1. On the eActivity workspace screen, select a strip and then press 6 ( g ) to display page two of the function menu. • In this example we will select a Gr aph Editor strip. 2. Press 5 (GUIDE). • This will enter the guide creation mode and display the oper ation pattern selection s[...]

  • Página 532

    20070201 u T o create an n-key operation 1. On the operation pattern selection screen, press 1 (nKEYS). • This will display the dialog bo x shown below . K ey indicator • 1 (OK) ... Star ts ke y input recording. • f ... Displays the ke y indicator in the upper right cor ner . • c ... Displays the ke y indicator in the lower right corner . 2[...]

  • Página 533

    20070201 4. After input is complete, press A . • This will display a comment bo x. 5. Input any comment text y ou want about the k ey operation sequence. 6. After inputting comment text, press w to register the n-ke y operation input. • This will retur n to the operation pattern selection screen. Y ou can now edit the guide by pressing 5 (PLA Y[...]

  • Página 534

    20070201 10-6-5 eActivity Guide u T o create a 1-key operation The follo wing operation assumes that y ou are continuing from the procedure under “T o create an n-ke y operation” (page 10-6-3). 1. On the operation patter n selection screen, press 2 (1-KEY). 2 . Press a key . • Here we will press w . • This will display a comment bo x. w (Ex[...]

  • Página 535

    20070201 10-6-6 eActivity Guide u T o create an A UT O operation The follo wing operation assumes that y ou are continuing from the procedure under “T o create a 1-ke y operation” (page 10-6-5). 1. On the operation patter n selection screen, press 3 (A UT O). • This will display the dialog bo x shown to the right. • 1 (OK) ... Star ts ke y [...]

  • Página 536

    20070201 10-6-7 eActivity Guide 5. After input is complete, press A . • This will display a comment bo x. 6. Input any comment text y ou want about the k ey operation sequence . 7. After inputting comment text, press w to register the A UTO operation input. • This will retur n to the operation pattern selection screen. Y ou can now edit the gui[...]

  • Página 537

    20070201 10-6-8 eActivity Guide u T o exit the guide creation mode 1 . While creating a guide, press 4 (END). • This will display the dialog bo x shown to the right. • 1 (Y es) ... T ur ns on the exit strip setting. When using the guide as a demo , the strip is exited and the eActivity w orkspace screen retur ns to the display after the guide i[...]

  • Página 538

    20070201 k Editing a Guide There are two methods that can be used to edit a guide. • Editing of the guide you are currently creating • Editing of the guide of an existing strip from the eActivity workspace screen k Editing the Guide Y ou Are Creating u T o display the key editing screen In this example , we sho w how to displa y the b ke y edit[...]

  • Página 539

    20070201 3. Input a value to specify the number of ke ys you w ant to jump and then press w . • Here we want to jump to the b k ey , so we will input h w . This number indicates the number of the current ke y operation from the beginning of the function. In the case of an A UT O operation, the letter “A” is appended to the beginning of this n[...]

  • Página 540

    20070201 k Editing Example In this example , we sho w how to edit the graph function (Y1 = −X 2 + 1) that is input at the end of the operation under “T o create an n-key operation” (page 10-6-3). u T o change −X 2 + 1 to −2X 2 + 1 (by inserting a c key before the v ke y) 1. This will display the v ke y editing screen. 2. Press 1 (INS). 3.[...]

  • Página 541

    20070201 u T o change −2X 2 + 1 to −2X 2 + 2 (by overwriting the b ke y with the c key) 1. This will display the b ke y editing screen. 2. Press 2 (O VW). 3. Press c . • This will overwrite the b k ey with the c key and display the guide creation screen from the next k ey ( w key). u T o edit an n-key operation comment 1. This will display th[...]

  • Página 542

    20070201 u T o change −2X 2 + 2 to 2X 2 + 2 (by deleting the - key) 1. This will display the - ke y editing screen. 2. Press 5 (DEL). 3. Press 1 (Y es). • This will delete the - key and displa y the guide creation screen from the next k ey ( c key). 10-6-13 eActivity Guide[...]

  • Página 543

    20070201 u T o exit a editing operation 1. Press 4 (END). 2. Press 1 (Y es) or 6 (No). • Exits the editing operation and returns to the eActivity wor kspace screen. u T o edit the guide of an existing strip from the eActivity w orkspace screen 1. On the eActivity wor kspace screen, select a strip that already has a guide and then press 6 ( g ) to[...]

  • Página 544

    20070201 u Running a Guide This example sho ws how to run the guide created under “Creating a Guide” (page 10-6-2). 1. On the eActivity wor kspace screen, select the Graph strip and then press w . • This will display the screen sho wn to the right. 2. Press the key indicated by the k ey indicator that appears in the upper or lower right corne[...]

  • Página 545

    20070201 4. If exit strip is tur ned on, press w . • This will display the dialog bo x shown to the right. • 1 (Y es) ... Exits the strip and retur ns to the eActivity workspace screen. • 6 (No) ... Retur ns to the screen in step 3. 10-6-16 eActivity Guide # Pressing a key that is diff erent from the one display ed in the upper or lower right[...]

  • Página 546

    20070201 k eActivity Guide Editing T echniques u T o edit a guide from the end On the editing screen, press 5 (PLA Y) 5 ( ). u T o insert SETUP or V -Window setting changes into a key operation sequence On the editing screen, display the location where y ou want to inser t the setting change operation, insert an n-key operation, and then input the [...]

  • Página 547

    20070201 System Settings Menu Use the system settings menu to vie w system inf ormation and make system settings . The system settings menu lets y ou do the f ollowing. • Mak e contrast settings • Mak e A uto P ower Off settings • Specify the system language • Vie w the operating system and application v ersions • Reset the calculator 11-[...]

  • Página 548

    20070201 11-1-1 Using the System Settings Menu 11-1 Using the System Settings Menu F rom the Main Menu, enter the SYSTEM mode and display the f ollowing menu items . • 1 ( ) ... {display contrast adjustment} • 2 ( ) ... {Auto P ower Off time setting, backlight dur ation (for models equipped with a backlight only)} • 3 (LANG) ... {system langu[...]

  • Página 549

    20070201 11-2 System Settings k Contrast Adjustment Use the (Contrast) item to adjust display contrast. While the initial SYSTEM mode screen is display ed, press 1 ( ) to display the Contrast Adjustment screen. • The e cursor ke y makes displa y contrast dar ker . • The d cursor ke y makes displa y contrast lighter . • 1 (INIT) retur ns displ[...]

  • Página 550

    20070201 k P ower Pr oper ties Settings Y ou can specify either 10 minutes or 60 minutes as the A uto P ower Off trigger time. Y ou can also specify the backlight duration. u T o specify the Auto P ower Off trigger time 1. While the initial SYSTEM mode screen is display ed, press 2 ( ) to display the P ower Proper ties Setting screen. 2. Use f and [...]

  • Página 551

    20070201 k System Language Setting Use LANG to specify the display language f or built-in applications. Y ou can also use add-ins to install various other languages. u T o select the message language 1. From the initial SYSTEM mode screen, press 3 (LANG) to display the Message Language selection screen. • If your calculator has “Add-in Message [...]

  • Página 552

    20070201 11-3-1 V ersion List * 1 Only installed add-ins are display ed. # The operating system version that actually appears depends on the calculator model. 11-3 V ersion List The V ersion list shows the follo wing items. • Operating system v ersion • Add-in application versions • Add-in message data versions • Add-in menu data v ersions [...]

  • Página 553

    20070201 11-3-2 V ersion List u T o register a user name 1. While the V ersion list is display ed, press 1 (NAME) to display the user name input screen. 2. Input up to eight characters for the user name y ou want. 3. After inputting the name, press w to register it, and retur n to the V ersion list. • If you w ant to cancel user name input and re[...]

  • Página 554

    20070201 11-4 Reset 1. While the initial SYSTEM mode screen is display ed, press 5 (RSET) to display the Reset Screen 1. • 1 (STUP) ... {setup initialization} • 2 (MAIN) ... {main memor y data clear} • 3 (ADD) ... {add-in application clear} • 4 (SMEM) ... {storage memor y data clear} • 5 (A&S) ... {add-in application and storage memor[...]

  • Página 555

    20070201 11-4-2 Reset 2. Press the function key that corresponds to the reset operation y ou want to perform. 3. In response to the confi rmation message that appears, press 1 (Y es) to perform the reset operation you specifi ed, or 6 (No) to cancel. Screen produced when 2 (MAIN) is pressed in step 2. 4. A message appears to let you know when the[...]

  • Página 556

    20070201 Data Comm unications This chapter tells you e verything you need to know to tr ansf er programs betw een two CASIO P ower Gr aphic calculators connected using the cable that is equipped as a standard accessor y . Y ou can use the USB cable that comes with the calculator to connect it to a computer to e xchange images and other data. 12-1 C[...]

  • Página 557

    20070201 12-1-1 Connecting T wo Units 12-1 Connecting T wo Units The follo wing procedure describes how to connect two units with the connecting cab le that comes equipped as a standard accessory . u T o connect two units 1. Check to make sure that the pow er of both units is off. 2. Connect the two units using the cable. 3. Perf or m the following[...]

  • Página 558

    20070201 12-2 Connecting the Unit to a P ersonal Computer Y ou can use the USB cable that comes with the calculator to connect it to a computer to exchange images and other data. For details on oper ation, the types of computer that can be connected, and hardware limitations, see the user’ s documentation for the F A-124 software that comes with [...]

  • Página 559

    20070201 12-3 P erforming a Data Comm unication Operation F rom the Main Menu, enter the LINK mode. The f ollowing data communication main menu appears on the display . • { TRAN } ... {displays the data send screen} • { RECV } ... {displays the data receiv e screen} • { CABL } ... {displays the cable type selection screen} • { W AKE } ... {[...]

  • Página 560

    20070201 k P erforming a Data T ransfer Operation Connect the two units and then perf orm the following procedures . Receiving unit T o set up the calculator to receive data, press 2 (RECV) while the data communication main menu is displa yed. The calculator enters a data receive standb y mode and waits f or data to arr ive. Actual data receive sta[...]

  • Página 561

    20070201 12-3-3 P erforming a Data Communication Operation Pressing 1 (MAIN) or 2 (SMEM) displays a screen f or specifying the data selection method. When 1 (MAIN) is pressed When 2 (SMEM) is pressed • { SEL } ... {selects new data} • { CRNT } ... {automatically selects previously selected data* 1 } u T o send selected data items (Example: T o [...]

  • Página 562

    20070201 u T o execute a send operation After selecting the data items to send, press 6 (TRAN). A message appears to confi rm that you w ant to ex ecute the send operation. • 1 (Y es) ... sends data • 6 (No) ... returns to data selection screen Press 1 (Y es) to send the data. • Y ou can interr upt a data operation at any time b y pressing A[...]

  • Página 563

    20070201 12-3-5 P erforming a Data Communication Operation k Specifying the Cable T ype Use the follo wing procedure to specify the cable type f or data communication. 1. On the data communication main menu, press 4 (CABL). This displays the cab le type selection screen. • { USB } ... {USB cable} • { 3PIN } ... {3-pin cable} 2. Press 1 (USB) or[...]

  • Página 564

    20070201 12-4 Data Comm unications Precautions The follo wing are the types of data items that can be sent. Data Item Contents Overwrite Check * 1 <PROGRAM> Progr am group Program names Program contents (All progr ams are listed.) Y es <MA TRIX> Matrix group MA T n Matr ix memor y (A to Z, and Ans) contents Y es <LISTFILE> List ?[...]

  • Página 565

    20070201 12-4-2 Data Communications Precautions Data Item Contents Overwrite Check * 1 <CAPTURE> Capture memory group CAPT n Capture memor y (1 to 20) data No SETUP Setup data No SYSTEM OS and data shared by applications (clipboard, replay , histor y , etc.), which is not included in the abov e No Add-in application names Add-in application d[...]

  • Página 566

    20070201 12-4-3 Data Communications Precautions k Exchanging Data with another Model Calculator • The graph line style data of this calculator is interchangeable with the line color data of the CFX-9850. • Sending the follo wing type of data to a CFX-9850 will cause an error . ✗ All List, G-Mem, Pict, or F-Mem data, e xcept for data n umbers [...]

  • Página 567

    20070201 12-5 Image T ransfer k T ransferring Images to a Computer Use the follo wing procedure to capture calculator screen images to a computer . P erform this procedure using F A-124 software running on the computer. 1. Use the USB cable to connect the calculator to the computer . 2. On the calculator, press 6 (CAPT). This displa ys the image tr[...]

  • Página 568

    20070201 k A uto Image T ransfer to an OHP Unit (OH-9860* 1 ) The follo wing procedure sends the screen of this calculator to an OHP unit at fi x ed inter vals. 1. Use the USB cable to connect the calculator to the OHP unit. 2. From the Main Men u, enter the LINK mode. 3. Press 4 (CABL). • This displays the cab le type selection screen. 4. Press[...]

  • Página 569

    20070201 12-5-3 Image T ransfer k Connecting to a Projector Y ou can connect the calculator to a CASIO projector and project calculator screen contents onto a screen. u Connectable Projectors (As of Jan uar y 2007) XJ-S35 • Y ou can also connect the calculator to a YP-100 Multifunctional Presentation Kit and project from the projectors other than[...]

  • Página 570

    20070201 12-6-1 Add-ins 12-6 Add-ins Add-in capabilities let you install separately a vailable applications and other software to tailor the calculator to suit your particular needs. Add-ins are installed from a computer using the data communication described on page 12-3-1. The follo wing are the types of software that can be installed as add-ins [...]

  • Página 571

    20070201 k Installing an Add-in Application and Message Language Data Using F A-124 PROGRAM-LINK 1. On your computer’ s desktop, doub le-click “F A-124”. • This will star t up F A-124 PROGRAM-LINK. 2. Click the icon to switch to displa y of Storage Memory contents. 3. In the Computer window , r ight click “Def ault”. 4. On the shor tcut[...]

  • Página 572

    20070201 6. Select the add-in that you want to install. • If you are installing an add-in from the CD-ROM (Ph ysium, Geometr y , etc.), navigate to the CD-ROM that is in y our computer’ s CD-ROM drive and then select the add-in. • If you are installing an add-in fi le that y ou downloaded on the Web , select the downloaded add-in fi le. 7 .[...]

  • Página 573

    20070201 10. In the Computer window , right-click the add-in application you w ant to install and then click “Copy” on the shor tcut menu that appears. 11. In the fx-9860 window , right-click the user name and then select “P aste” on the shor tcut menu that appears. * In place of steps 10 and 11, you could also drag the add-in application f[...]

  • Página 574

    20070201 12. The data will be copied from the Computer window to the fx-9860 window . 13. After the cop y operation is complete, the add-in application will appear under the user name in the fx-9860 window . 14. Click the icon. • This will ter minate the connection between the calculator and F A-124 PROGRAM-LINK and cause the message “Complete![...]

  • Página 575

    20070201 12-7-1 MEMOR Y Mode 12-7 MEMOR Y Mode This calculator has two separate memory areas: a “main memor y” and a “stor age memory . ” The main memory is a wor k area where you can perf orm input data, perform calculations and run programs. Data in the main memor y is relatively safe , but it can be deleted when batteries go dead or when[...]

  • Página 576

    20070201 k Memory Information Screen Press 1 (MAIN) to display current main memory use information. Press 2 (SMEM) to display current storage memory use information. • Use the cursor f and c keys to mo v e the highlighting and check the number of b ytes used by each type of data. • Line 7 shows how man y bytes of memory are currently unused in [...]

  • Página 577

    20070201 Moving the highlighting to a data group or f older and pressing w will display the data g roup or folder contents . Pressing J will retur n to the previous screen. When the contents of a storage memory folder are displa yed, the fi rst line of the screen shows the name of the f older . Folder name (Blank when the root folder is displa yed[...]

  • Página 578

    20070201 Data Name Contents <CAPTURE> Capture memory group CAPT n ( n = 1 to 20) Capture memor y CONICS Conics setting data <PROGRAM> Program group Each program name Programs <S-SHEET> Spreadsheet group Each spreadsheet name Spreadsheet data Each add-in application name Application-specifi c data <F-MEM> Function memory gro[...]

  • Página 579

    20070201 k Creating a Folder in Storage Memory Use the follo wing procedure to create and rename f olders in storage memory . u T o create a new folder 1. While storage memor y data is on the display , press 4 (MK • F) to display the f older name input screen. 2. Input up to eight characters for the name you w ant to give to the f older. • Only[...]

  • Página 580

    20070201 u T o rename a folder 1. On the storage memor y information screen, select the folder y ou want to rename. 2. Press 5 (RN • F) to display the rename f older screen. 3. Input up to eight characters for the name y ou want to give to the f older. • Only the following char acters are suppor ted: A through Z, {, }, ’, ~, 0 through 9 Input[...]

  • Página 581

    20070201 • Y ou can select multiple fi les, if y ou want. 1 (SEL) • Selecting a group or folder also selects e verything inside of it. Deselecting a group or f older deselects all of its contents. • If you select one or more individual items inside of a data group or f older, the b lack selection pointer (  ) appears next to each item, wh[...]

  • Página 582

    20070201 k Copying Data Y ou can copy data between main memory and storage memory . u T o copy from main memory to storage memory Note • The follo wing procedure sav es the selected data into a single fi le . Y ou assign a name to the fi le , which is stored in storage memory . 1. On the main memor y data information screen, select the data you[...]

  • Página 583

    20070201 k Error Chec ks During Data Copy The follo wing error checks are perf or med while a data copy operation is being e xecuted. Low battery chec k The calculator performs low battery check bef ore star ting the data copy oper ation. If the battery is at Level 1, a lo w battery error occurs and the copy operation is not perf ormed. A vailab le[...]

  • Página 584

    20070201 Overwrite check is perf or med for the f ollowing types of data only . All other types of data are copied, without checking f or data fi les with the same name . • Programs • Matrices • List fi les • Graph memor ies • Dynamic Graph memories • Spreadsheet data Overwrite check is perf or med for data of the same type only . If [...]

  • Página 585

    20070201 k Deleting Files Use the procedures in this section to delete main memory and storage memor y data. u T o delete a main memor y fi le 1. On the initial MEMOR Y mode screen press 1 (MAIN). • This displays a list of fi les that are in the main memor y . 2. Select the fi le(s) y ou want to delete. Y ou can select multiple fi les, if y o[...]

  • Página 586

    20070201 k Searc hing for a File Use the follo wing procedures to search f or a specifi c fi le in the main memory or storage memory . u T o search f or a fi le in the main memory Example T o search f or all fi les in the main memory whose names begin with the letter “R” 1. On the initial MEMOR Y mode screen press 1 (MAIN). • This display[...]

  • Página 587

    20070201 u T o search f or a fi le in the storage memory Example T o search f or all fi les in the storage memory whose names begin with the letter “S” 1. On the initial MEMOR Y mode screen press 2 (SMEM). • This displays a list of fi les that are in the storage memory . 2. Press 3 (SRC). • Input the letter “S” for the ke yword. • [...]

  • Página 588

    20070201 k Backing Up Main Memory Data Y ou can back up all the data in the main memory and store it in the storage memor y . Later you can restore the bac ked up data to the main memory when necessar y . u T o back up main memory data 1. On the initial MEMOR Y mode screen press 4 (BKUP). 2. Press 1 (SA VE). This displays a f older selection screen[...]

  • Página 589

    20070201 u T o restore backup data to the main memory 1. On the initial MEMOR Y mode screen press 4 (BKUP). • On the screen that appears, you can confi rm whether or not there is backup data in the storage memory . 2. Press 2 (LOAD). This displays the f older selection screen. 3. Use f and c to select a folder . 4. Press w .* 1 • A message app[...]

  • Página 590

    20070201 12-7-16 MEMOR Y Mode k Optimizing the Storage Memory Storage memory can become fragmented after many store and load operations. F ragmentation can cause b locks of memory to become unav ailable f or data storage . Because of this, y ou should periodically perform the storage memor y optimization procedure, which rearranges the data in the [...]

  • Página 591

    20070201 Appendix 1 Error Messa ge T able 2 Input Ranges α[...]

  • Página 592

    20070201 α -1-1 Error Message T able 1 Err or Message T able Message Meaning Countermeasure Syntax ERROR • Illegal syntax • Attempt to input an illegal command • Press J to display the error and make necessary corrections. Ma ERROR • Calculation result e xceeds the display r ange. • Calculation is outside the input range of a function. ?[...]

  • Página 593

    20070201 α -1-2 Error Message T able Message Meaning Countermeasure Memor y ERROR • Operation or memory storage operation e xceeds remaining memory capacity . • Keep the n umber of memories you use within the currently specifi ed number of memories. • Simplify the data you are trying to store to keep it within the av ailable memory capacity[...]

  • Página 594

    20070201 α -1-3 Error Message T able Message Meaning Countermeasure No V ar iable • No v ar iable specifi ed within a graph function being used f or Dynamic Graph. • No v ariable within a Solve equation. • Specify a variable f or the graph function. • Input a Solv e equation that includes a variable . Com ERROR • Problem with cab le con[...]

  • Página 595

    20070201 α -1-4 Error Message T able Message Meaning Countermeasure Invalid T ype • An illegal data type is specifi ed. • Specify valid data. Storage Memory Full • The storage memory is full. • Delete unneeded data. Data ERROR • A data error occurred. • Check to make sure y ou are writing correct type of data and try again.[...]

  • Página 596

    20070201 α -2-1 Input Ranges 2 Input Rang es Function Input range for real number solutions Internal digits Precision Notes sin x cos x tan x (DEG) | x | < 9 × (10 9 ) ° (RAD) | x | < 5 × 10 7 π rad (GRA) | x | < 1 × 10 10 grad 15 digits As a r ule, precision is ± 1 at the 10th digit.* Howe ver , for tan x : | x | ≠ 90(2 n +1): DE[...]

  • Página 597

    20070201 α -2-2 Input Ranges Function Input range for real number solutions Internal digits Precision Notes P ol ( x , y ) x 2 + y 2 < 1 × 10 100 15 digits As a r ule, precision is ± 1 at the 10th digit.* Rec ( r , θ ) | r | < 1 × 10 100 (DEG) | θ | < 9 × (10 9 ) ° (RAD) | θ | < 5 × 10 7 π rad (GRA) | θ | < 1 × 10 10 gra[...]

  • Página 598

    20070201 α -2-3 Input Ranges Function Input range Binar y , octal, decimal, hexadecimal calculation V alues fall within f ollowing ranges after con version: DEC: –2147483648 < x < 2147483647 BIN: 1000000000000000 < x < 1111111111111111 (negative) 0 < x < 111111111111111 (0, positive) OCT: 20000000000 < x < 37777777777 (ne[...]

  • Página 599

    CASIO Europe GmbH Bornbarch 10, 22848 Norderstedt, Germany This mark applies in EU countr ies only .[...]

  • Página 600

    CASIO COMPUTER CO ., L TD . 6-2, Hon-machi 1-chome Shibuya-ku, T okyo 151-8543, Japan One or more of the following patents may be used in the pr oduct. U.S.Pats. 5,166,897 5,210,708 5,535,317 5,539,867 SA0702-A[...]