HP 9G manuale d’uso

E-1 hp 9g Graphing C alcula tor Contents Chapter 1 : Ge neral Operatio ns ................................... 4 P ow er Suppl y .................................................................... 4 Turning on or off ........................................................................... 4 Batt ery re placemen t ................................[...]

E-2 Display F ormat ................................................................ 13 P arentheses Calculations .................................................. 14 P erc entage Calculations ................................................... 14 Repeat Calculations ......................................................... 14 Answ er Function ...[...]

E-3 Probability Distr ibution (1- V ar Data) ................................. 23 Regr ession Calculation ..................................................... 2 4 Chapter 7 : BaseN Calculati ons .................................. 24 Negative E xpressions....................................................... 2 5 Basic Arithmetic Oper ations for Ba[...]

E-4 Chapter 1 : General Ope rations Power Supply Turni ng on or of f To tu rn the ca lculato r on, p ress [ ON ]. To turn the cal culator off, press [ 2n d ] [ OFF ]. Battery r eplac ement The calculator is powered by two alka line button batteries (GP76A or LR44). When battery power becomes low, LOW BATTERY appears on the display. Replace the batt[...]

E-5 darke r . Display Features Graph display Calculation dis play Entry line Display s an entry of up to 7 6 digits. Entri es with m ore than 11 digits w ill scroll to th e left. When you input the 6 9 th digit of a single entry , t he cur sor changes fr om to to let you know that y ou are appr oaching th e entry limit. If you need to input mo re t[...]

E-6 SCIENG SCIentif ic or ENGineerin g display form at FIX Number of decimal places display ed is fi xed HYP Hyperbolic trig function will b e calcula ted The displa yed val ue is an intermediate r esult There ar e digits to the left or r ight of the display There ar e earli er or later r esults that can be display ed. These indicator s blink while[...]

E-7 Label color Mea ni ng White Just pr ess the key Y ellow Press [ 2nd ] an d then the key Green In Base -N mode, just press the key Blue Press [ ALPHA ] an d then the ke y Using the 2n d and ALPHA keys To execute a function with a yellow label, press [ 2nd ] and then the corresponding key. When you press [ 2nd ], the 2nd indicator appears t o ind[...]

E-8 To delete a character, press [ ] or [ ] to move the cursor to that character and then press [ DEL ]. (Whe n the cursor is on a character, the character is underli ned.) To undo the deleti on, immediately press [ 2nd ] [ ]. To clear all characters, press [ CL / ESC ]. See Example 1. Recalling Previous In puts and Results Press [ ] or [ ] to disp[...]

E-9 memories can b e adde d in thi s way , g iving you a maximu m of 59 memories (2 6 + 33). Note: To restore the de fault memor y configuration—26 memories—sp ecify Defm 0. Expa nded memor ies ar e named A [ 1 ] , A [ 2 ] etc and can b e used in the same wa y as sta ndard memory variab les. See E xample 7 . Note: When u sing array variables, b[...]

E-10 5. Abbreviated multipli cation format involving variables, π , RA ND, RANDI. 6. ( – ) 7. Abbreviated multiplication format in front of Type B functions, , Alog2, etc. 8. nPr, nCr 9. × , 10. +, – 11. Relational operators: = = , < , >, ≠ , ≤ , ≥ 12. A ND, NAN D (BaseN c alcula tions only ) 13. OR , XOR, XNOR (BaseN calcu lation[...]

E-11 tan –1 x x ＜ 1 × 10 100 sinh x, cosh x x ≦ 230 .2585 092 tanh x x ＜ 1 × 10 100 sinh –1 x x ＜ 5 × 10 99 cosh –1 x 1 ≦ x ＜ 5 × 10 99 tanh –1 x x ＜ 1 log x, ln x 1 × 10 –99 ≦ x < 1 × 10 100 10 x –1 × 10 100 ＜ x ＜ 100 e x –1 × 10 100 ＜ x ≦ 230. 25850 92 x 0 ≦ x ＜ 1 × 10 100 x 2 x ＜ 1 × 10 50[...]

E-12 nPr , nCr 0 ≦ r ≦ n, n < 10 100 , n, r a re integers. STA T | x | < 1 × 10 100 ,| y | < 1 × 10 100 1 -V AR : n ≦ 30, 2 -V AR : n ≦ 30 FREQ. = n , 0 ≦ n < 10 100 : n is an int eger in 1-V AR mode σ x, σ y , x, y , a, b, r : n ≠ 0 Sx, Sy :n ≠ 0,1 BaseN DEC : - 2 1 47 4836 48 ≦ x ≦ 214 7 48 3 64 7 BIN : 100000000[...]

E-13 2 . An improp er argu ment was used in a comm and or func tion. 3. A n END sta tement is missing from a program. LENG TH Er An entry exceeds 8 4 digits after impli ed multiplicati on with auto-corre ction . OUT OF SPEC Y ou input a n egativ e C PU or C PL value , wher e σ 3 x – USL = C PU a n d σ 3 LSL – x = C PL NES T Er Subroutine nest[...]

E-14 • A dec imal forma t is s elected by pr e ssing [ 2nd ] [ FIX ] and selecting a value from the menu ( F0123456789 ). To set the displayed decimal places to n , enter a value for n directly , or pr ess the c urso r keys until the value is underlined and then press [ ]. (The default setting is floating point notation ( F ) a nd its n value is [...]

E-15 When you enter a numeric value or numeric expression and press [ ], the result is stored in the Answer function, which you can then quickly recall. See Example 19. Note: The result is retained e ven if the po wer is turned off . It is also retained if a subsequent calc ulatio n results in an er ror . Chapter 4 : Common Math Calculations Logari[...]

E-16 To change the angular unit setting to another setting, press [ DRG ] r epeate dly until t he angula r unit y ou wa nt is indi cated on t he display. The con versi on procedur e follo ws (also see Ex ample 2 5 ): 1. Change the angle units to the units you want to convert to. 2. Enter the value of the unit to convert. 3. Press [ 2nd ] [ DMS ] to[...]

E-17 Press [ MAT H ] rep eated ly to is di splay a l ist of mathe matical func tions and their associated arguments. See Exam ple 31. The functions avai lable are: ! Calc ulate the factori al of a specif ied positi ve in teger n , wher e n ≦ 69. RAND Generate a r andom number betw een 0 and 1. RAND I Generate a random integer between two spec ifi[...]

E-18 1. Enter the number you want to convert. 2. Press [ 2nd ] [ CONV ] to display the units menu. There are 7 menus, cover ing dista nce, ar ea, te mperat ure, ca pacit y, weight , energ y, and pressure. 3. Press [ ] or [ ] to scroll through the list of units until the appropriate units menu is shown, then press [ ] . 4. Press [ ] or [ ] to conver[...]

E-19 1. Position your cursor where you want the constant inserted. 2. Press [ 2nd ] [ CONST ] to displ ay the physics constants menu. 3. Scr oll throu gh the menu u ntil the const ant you want i s under lined. 4. Press [ ]. (See Exampl e 34. ) Multi - s tatement functions Multi-statement functions are formed by connecting a number of individual sta[...]

E-20 After setting the range, press [ Graph ] and enter the expression to be graphed. See Example 37. Graph ↔ Text Display and Clearing a Graph Press [ G T ] to switch between graph display and text display and vice versa. T o clear th e graph, please press [ 2nd ] [ CLS ] . Zoom Function The zoom function lets you enlarge or reduce the graph. Pr[...]

E-21 This function l ets you move a pointer around a graph by pressing [ ] and [ ]. The x- and y-coordinates of the current pointer location are displayed on the screen. This function is useful for determining the intersection of superimposed graphs (by pressi ng [ 2nd ] [ X Y ]). See Example 40. Note: Due to the limited resolution of the display ,[...]

E-22 7. Press [ ] [ ] [ ] or [ ] to scroll through the statistical variables until you reach the variable you are interested in (see table below). Variable Meaning n Numbe r of x valu es or x –y pairs e ntered. or Mean of the x values or y val ues. Xmax or Yma x Maximum of the x value s or y valu es. Xmin or Ymin Minimu m of the x va lues or y va[...]

E-23 , Cpx or Cp y Potential capability precision of the x values or y values, , Cpkx or Cpky Mi nimum (CPU, CPL) of t he x valu es or y valu es, where CPU is th e upper spec. limit of capab ility prec isio n and CPL is low er spec. limit of capability p rec ision . C pkx = Min (C PUX , C PLX ) = C px (1–C ax ) C pky = Min (C PUY , C PL Y ) = C p[...]

E-24 R(t) The c umulative f racti on of the standard n ormal distributi on that lies betw een t and 0. R(t) = 1 – t . Q(t) The cumulati ve f racti on of the standard nor mal distributi on that is greater than t . Q(t) = | 0.5– t |. Regression Calculation There ar e six r egressi on option s on the REG menu: LIN Linear Regr essi on y = a + b x L[...]

E-25 You c an enter numbers in ba se 2, ba se 8, b ase 10 or b ase 16 . To set the number base, p ress [ 2nd ] [ dhbo ] , sele ct an optio n from t he menu and press [ ]. An indicator shows the base you selected: d , h , b , or o . (T he default setting is d : decimal base). See Example 49. The allo wable di gits in each base are: Binary base ( b )[...]

E-26 Before Using the Progra m Area Number of Remaining St eps: The program capacity is 400 steps. The number of steps indicates the amou nt of storage space available for progr ams, and i t will decr ease a s progr ams are input. T he nu mber of remaining steps will al so de cre ase wh en ste ps are co nve rte d to m emo ries . See Array Variables[...]

E-27 INPUT memory variable ⇒ Makes the program pause for data input. memory variable = _ appears on the display. Enter a value and press [ ]. The value is assigned to the specified variable, and the program resumes execution. To inpu t more t han o ne memo ry var iable, se par ate the m with a semicolon (;). PRINT “ text ” , memory variable ?[...]

E-28 ⇒ Each p rogra m needs an END co mmand t o mar k the e nd of t he progr am. This i s displa yed au tomatic ally w hen you cr eate a ne w progr am. Increment and decrement P ost-fixed: Memor y vari able + + or Memor y variabl e – – Pre-fixed: + + Memor y variable o r – – Memor y variable ⇒ A memory variabl e is decreased or increase[...]

E-29 ⇒ The SWAP command swaps the co ntents in t wo memory vari ables. Relational Operator s The relational operators that can be used in FO R loops and c onditional branching are: = = (equal to), < (l ess than), > (gr eater than), ≠ (not equ al to), ≤ (less than or equal to), ≥ (greater than or eq ual to) . Creating a New Program 1. [...]

E-30 Debugging a Pr ogram A prog ram might gener ate an error messag e or u nexpec ted re sults w hen it is executed. This indicates that there is an error in the program that needs to be corrected. • Error messages appear for approxim ately 5 seconds, an d then the cursor blinks at th e location of the error. • To correct an error, sel ect EDI[...]

E-31 3. To erase a ll the p rograms , select ALL . 4. A message appears asking you to confirm that you want to delete the progr am(s). Press [ ] to move the cursor to Y and then press [ ]. 5. To exit DEL mod e, sele ct EXIT from the p rogra m menu. Program Examples See Examples 54 to 63. Example 1  Change 12 3 × 45 to 12 3 × 475 12 3 [ × ] 45[...]

E-32 [ ] [ ] [ ] Example 3  Enter 14 0 × 2 . 3 and then cor rect it to 14 10 × 2. 3 14 [ ] 0 [ × ] 2 .3 [ ] (after 5 Seco nds ) [ ] 1 [ ] Example 4  [ ( 3 × 5 ) + ( 56 7 ) – ( 7 4 – 8 × 7 ) ] = 5 3 [ × ] 5 [ M+ ][...]

E-33 56 [ ] 7 [ M+ ] [ MRC ] [ ] 7 4 [ – ] 8 [ × ] 7 [ 2nd ] [ M– ] [ MRC ] [ ] [ MRC ] [ MR C ] [ CL / ESC ] Example 5  (1) Assign 30 into variable A [ 2nd ] [ CL -V AR ] 30 [ SA VE ] [ A ] [ ] 0 (2) Mu ltiply variable A by 5 and assign the result to variable B 5 [ × ] [ 2nd ] [ RCL ] [ ] [ ][...]

E-34 [ S A VE ] [ B ] [ ] 1 (3 ) Add 3 to variable B [ ALPHA ] [ B ] [ + ] 3 [ ] 2 (4) Cle ar all variables [ 2nd ] [ CL -V AR ] [ 2nd ] [ RCL ] Example 6  (1) Set P ROG 1 = cos (3A) + sin (5B), where A = 0, B = 0 [ cos ] 3 [ ALPHA ] [ A ] [ ] [ + ] [ sin ] 5 [ ALPHA ] [ B ] [ ] [ S A VE ] [ PROG ] 1 [ ] 3 (2) Set A = 20,B = 18, get P ROG 1 = co[...]

E-35 [ PR OG ] 1 [ ] [ ] [ CL / ESC ] 20 [ ] [ CL / ESC ] 18 [ ] Example 7  (1) Exp and the number of memories from 26 to 28 [ MA TH ] [ MA TH ] [ MA TH ] [ MA TH ] [ ] [ ] 2 [ ] 4 (2) As sign 66 to variable A [ 27 ] 66 [ S A VE ] [ A ] [ ALPHA ] [ [ ] ] 27 [ ][...]

E-36 5 (3 ) Recall variable A [ 2 7 ] [ ALPHA ] [ A ] [ ALP HA ] [ [ ] ] 27 [ ] 6 (4) Retu rn memory variables to the default configuration [ MA TH ] [ MA TH ] [ MA TH ] [ MA TH ] [ ] [ ] 0 [ ] Example 8  7 + 10 × 8 2 = 4 7 7 [ + ] 10 [ × ] 8 [ ] 2 [ ] Example 9  – 3. 5 + 8 4 = –1.5 [ ( – ) ] 3 .5 [ + ] 8 [ ] 4 [ ] Example 10  12 3[...]

E-37 12 3 6 9 [ × ] 7 53 2 [ × ] 7 4 103 [ ] Example 11  6 7 = 0.85 7142 85 7 6 [ ] 7 [ ] [ 2nd ] [ FIX ] [ ] [ ] [ ] [ ] [ 2nd ] [ FIX ] 4 [ 2nd ] [ FIX ] [ • ] Example 12  1 6000 = 0.0001 66 6 ... 1 [ ] 6000 [ ][...]

E-38 [ 2nd ] [ S CI / ENG ] [ ] [ ] [ 2nd ] [ S CI / ENG ] [ ] [ ] [ 2nd ] [ S CI / ENG ] [ ] [ ] Example 13  0.0015 = 1. 5 × 10 – 3 1.5 [ EXP ] [ (–) ] 3 [ ] Example 14  20 G byte + 0.15 K b yte = 2 .00000001 5 × 10 10 byte[...]

E-39 20 [ 2nd ] [ ENG S YM ] [ ] [ ] [ ] [ + ] 0.15 [ 2nd ] [ ENG S YM ] [ ] [ ] Example 15  ( 5 – 2 × 1.5 ) × 3 = 6 [ ( ) ] 5 [ – ] 2 [ × ] 1.5 [ ] [ × ] 3 [ ] Example 16  2 × { 7 + 6 × ( 5 + 4 ) } = 122 2 [ × ] [ ( ) ] 7 [ + ] 6 [ × ] [ ( ) ] 5 [ + ] 4 [ ] Example 17  120 × 30 % = 36 120 [ × ] 30 [ 2nd ] [ % ] [ ] 7 88 5 5%[...]

E-40 88 [ ] 5 5 [ 2nd ] [ % ] [ ] Example 18  3 × 3 × 3 × 3 = 81 3 [ × ] 3 [ ] [ × ] 3 [ ] [ ] 8 Calcu lat e 6 after calc ulating 3 × 4 = 12 3 [ × ] 4 [ ] [ ] 6 [ ] Example 19  12 3 + 4 56 = 5 7 9 789 – 579 = 210 12 3 [ + ] 4 56 [ ][...]

E-41 7 8 9 [ – ] [ 2nd ] [ ANS ] [ ] Example 20  ln7 + log100 = 3 .9 45 910149 [ ln ] 7 [ ] [ + ] [ log ] 100 [ ] 9 10 2 = 100 [ 2nd ] [ 10 x ] 2 [ ] 10 e –5 = 0.006 73 7 9 4 7 [ 2n d ] [ e x ] [ ( – ) ] 5 [ ] Example 21  7 [ A b / c ] 2 [ A b / c ] 3 [ + ] 14 [ A b / c ] 5 [ A b / c ] 7 [ ] Example 22 [...]

E-42 4 [ A b / c ] 2 [ A b / c ] 4 [ ] [ 2nd ] [ A b / c d / e ] [ ] [ 2nd ] [A b / c d / e ] [ ] Example 23  4 [ A b / c ] 1 [ A b / c ] 2 [ 2nd ] [ F D ] [ ] Example 24  8 [ A b / c ] 4 [ A b / c ] 5 [ + ] 3.75 [ ] Example 25  2 rad. = 360 deg. [ DRG ][...]

E-43 [ ] 2 [ 2nd ] [ ] [ 2nd ] [ DMS ] [ ] [ ] [ ] [ ] [ ] Example 26  1.5 = 1 O 30 I 0 II ( DMS ) 1.5 [ 2n d ] [ DMS ] [ ] [ ] [ ] Example 27  2 0 45 I 10.5 I I = 2. 7 5 2916 66 7 2 [ 2nd ] [ DMS ] [ ] 45 [ 2n d ] [ DMS ] [ ] [ ] 10.5 [ 2n d ] [ DMS ] [ ] [ ][...]

E-44 [ ] [ ] Example 28  sin30 Deg . = 0.5 [ DRG ] [ ] [ sin ] 30 [ ] 11 si n30 R ad. = – 0.9 880 316 24 [ DRG ] [ ] [ ] [ sin ] 30 [ ] 12 sin –1 0. 5 = 33.33333333 G ra d. [ DRG ] [ ] [ ] [ 2nd ] [ sin –1 ] 0.5 [ ] Example 29  cosh1. 5+2 = 4.3 5 2 409 615[...]

E-45 [ 2nd ] [ HYP ] [ cos ] 1. 5 [ ] [ + ] 2 [ ] 13 sinh –1 7 = 2. 644120 7 61 [ 2nd ] [ HYP ] [ 2nd ] [ sin –1 ] 7 [ ] Example 30  If x = 5 and y = 30, w hat a re r and ? Ans : r = 30.41381 2 6 5, = 80.5 37 6 777 9 o [ 2nd ] [ R P ] [ ] 5 [ ALPHA ] [ ] 30 [ ] [ 2nd ] [ R P ] [ ] [ ] 5 [ ALPHA ] [ ] 30 [ ] 14 If r = 2 5 and = 5 6 o wh at a [...]

E-46 [ 2nd ] [ R P ] [ ] [ ] 25 [ ALP HA ] [ ] 56 [ ] [ 2nd ] [ R P ] [ ] [ ] [ ] 25 [ ALP HA ] [ ] 56 [ ] Example 31  5 ! = 120 5 [ MA TH ] [ ] [ ] 15 Generate a random nu mber b etween 0 and 1 [ MA TH ] [ ] [ ] [ ][...]

E-47 16 Gen erate a random integer between 7 and 9 [ MA TH ] [ ] [ ] 7 [ ALPHA ] [ ] 9 [ ] 17 RND ( sin 45 Deg. ) = 0.71 ( F IX = 2 ) [ MA TH ] [ ] [ ] [ ] [ sin ] 4 5 [ 2nd ] [ FIX ] [ ] [ ] [ ] [ ] [ ] 18 MAX ( sin 30 Deg. , sin 90 Deg . ) = MAX ( 0.5, 1 ) = 1 [ MA TH ] [ MA TH ] [ ] [ sin ] 30 [ ] [ ALPHA ] [ ] [ sin ] 90 [ ] 19 MIN ( sin 30 Deg[...]

E-48 [ MA TH ] [ MA TH ] [ ] [ ] [ sin ] 30 [ ] [ ALPHA ] [ ] [ sin ] 90 [ ] 20 S UM (13, 15, 2 3 ) = 51 [ MA TH ] [ MA TH ] [ ] [ ] 13 [ ALPHA ] [ ] 15 [ ALPHA ] [ ] 2 3 [ ] 21 A VG (13, 15, 2 3 ) = 17 [ MA TH ] [ MA TH ] [ ] [ ] [ ] 13 [ ALPHA ] [ ] 15 [ ALPHA ] [ ] 2 3 [ ] 22 Fra c ( 1 0 8 ) = F rac ( 1.2 5 ) = 0.2 5 [ MA TH ] [ MA TH ] [ MA TH [...]

E-49 [ ] 10 [ ] 8 [ ] 23 INT (10 8 ) = INT ( 1.2 5 ) = 1 [ MA TH ] [ MA TH ] [ MA TH ] [ ] [ ] 10 [ ] 8 [ ] 24 S GN ( log 0. 01 ) = SGN ( – 2 ) = – 1 [ MA TH ] [ MA TH ] [ MA TH ] [ ] [ ] [ log ] 0. 01 [ ] 25 AB S ( log 0. 01) = ABS ( – 2 ) = 2 [ MA TH ] [ MA TH ] [ MA TH ] 　 [ ] [ ] [ ] [ log ] 0. 01 [ ][...]

E-50 26 7 ! [ ( 7 – 4 ) ! ] = 84 0 7 [ MA TH ] [ MA TH ] [ MA TH ] [ MA TH ] [ ] 4 [ ] 27 7 ! [ ( 7 – 4 ) ! × 4 ] = 35 7 [ MA TH ] [ MA TH ] [ MA TH ] [ MA TH ] [ ] [ ] 4 [ ] Example 32  1.2 5 [ 2nd ] [ X –1 ] [ ] 28 2 [ X 2 ] [ + ] [ ] 4 [ + ] 21 [ ] [ + ] [ 2nd ] [ ] 2 7 [ ] 29[...]

E-51 4 [ 2nd ] [ ] 81 [ ] 30 7 4 = 2 401 7 [ 2nd ] [ ^ ] 4 [ ] Example 33  1 yd 2 = 9 ft 2 = 0.0000008 36 km 2 1 [ 2nd ] [ CONV ] [ 2nd ] [ CONV ] [ ] [ ] [ ] [ ] [ ] Example 3 4  3 × G = 2 . 00177 95 5 × 10 –10[...]

E-52 3 [ × ] [ 2nd ] [ CON S T ] [ ] [ ] [ ] [ ] Example 35  Apply the m ulti-statement functi on to the follo wing two statements: ( E=15 ) 15 [ S A VE ] [ E ] [ ] [ ALPHA ] [ E ] [ × ] 13 [ ALPHA ] [ ]180 [ ] [ ALPHA ] [ E ] [ ] [ ] [ ] Example 36  Graph Y = e X[...]

E-53 [ Graph ] [ 2nd ] [ e x ] [ ] Example 37  (1) R ange : X min = – 180, X max = 180, X sc l = 90, Y min = – 1.2 5, Y max = 1.2 5, Y scl = 0. 5, Graph Y = sin (2 x) [ Range ] [ ( – ) ] 180 [ ] 180 [ ] 90 [ ] [ (–) ] 1.2 5 [ ] 1.25 [ ] 0.5 [ ] [ 2nd ] [ Factor ] 2 [ ] 2 [ ] [ Graph ] [ sin ] 2 [ ALPHA ] [ X ] [ ][...]

E-54 [ G T ] [ G T ] 31 ( 2) Z oom in and zoom out on Y = sin (2x) [ 2nd ] [ Z oom x f ] [ 2nd ] [ Z oom x f ] [ 2nd ] [ Z oom Or g ] [ 2nd ] [ Z oom x 1 / f ] [ 2nd ] [ Z oom x 1 / f ] Example 38  Superim pose the graph of Y = – X + 2 ov er the graph of Y = X 3 + 3 X 2 – 6 X – 8[...]

E-55 [ Rang e ] [ (–) ] 8 [ ] 8 [ ] 2 [ ] [ (–) ] 15 [ ] 15 [ ] 5 [ ] [ Graph ] [ ALP HA ] [ X ] [ 2nd ] [ x 3 ] [ + ] 3 [ ALPHA ] [ X ] [ x 2 ] [ – ] 6 [ ALPHA ] [ X ] [ – ] 8 [ ] [ Graph ] [ (– ) ] [ ALPHA ] [ X ] [ + ] 2 [ ] Example 39  Superimpose th e graph of Y = cos (X) o ver the graph of Y = sin ( x ) [ Graph ] [ sin ] [ ] [ Gr[...]

E-56 [ Graph ] [ cos ] [ ] [ T race ] [ ] [ ] [ ] [ 2nd ] [ X Y ] Example 41  Draw and scroll the gra ph for Y = c os ( x ) [ Graph ] [ cos ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] Example 42  P lace poin ts at ( 5 , 5 ) , ( 5 , 10 ), ( 15 , 15 ) and ( 18, 15 ), and then use the Line functi on to connect the poin ts.[...]

E-57 [ Rang e ] 0 [ ] 35 [ ] 5 [ ] 0 [ ] 23 [ ] 5 [ ] [ 2nd ] [ PL OT ] 5 [ ALPHA ] [ ] 5 [ ] [ 2nd ] [ X Y ] [ 2nd ] [ X Y ] [ 2nd ] [ PL OT ] 5 [ ALP HA ] [ ] 10 [ ] [ 2nd ] [ LINE ] [ ] [ 2nd ] [ PL OT ] 15 [ ALP HA ] [ ] 15 [ ] [ 2nd ] [ LINE ] [ ] [ 2nd ] [ PL OT ] 18 [ ALP HA ] [ ] 15 [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ 2nd ] [ LINE ] [ ][...]

E-58 Example 43  Enter the data: X LSL = 2, X USL = 13, X 1 = 3, F RE Q 1 = 2 , X 2 = 5 , FRE Q 2 = 9 , X 3 = 12 , FREQ 3 = 7 , th en fi nd = 7 .5 , Sx = 3.7 4558563 7 , Cax = 0 , and Cp x = 0.5 03 65 5401 [ MODE ] 1 [ ] [ D A TA ] [ ] [ ] 2 [ ] 13 [ ] [ D A TA ] [ ] 3 [ ] 2 [ ] 5 [ ] 9 [ ] 12 [ ] 7[...]

E-59 [ 2nd ] [ S T A T V AR ] [ ] [ ] [ Graph ] [ ] [ ] [ 2nd ] [ S T A T V AR ] [ ] [ ] [ ] [ ] [ ] [ Graph ] [ ][...]

E-60 [ 2nd ] [ S T A T V AR ] [ Graph ] [ ] [ ] [ ] Example 44  Enter the data : X LSL = 2 , X USL = 8, Y LSL = 3, Y USL = 9 , X 1 = 3, Y 1 = 4, X 2 = 5 , Y 2 = 7 , X 3 = 7 , Y 3 = 6, th en f ind = 5, Sx = 2 , Cax = 0, Ca y = 0.111111111 [ MODE ] 1 [ ] [ ] [ D A TA ] [ ] [ ] 2 [ ] 8 [ ] 3 [ ] 9 [ ] [ D A TA ] [ ] 3 [ ] 4 [ ] 5 [ ] 7 [ ] 7 [ ] 6[...]

E-61 [ 2nd ] [ S T A T V AR ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ Graph ] Example 45  In the data in Example 44, change Y 1 = 4 t o Y 1 = 9 an d X 2 = 5 t o X 2 = 8, then f ind Sx = 2 .64 5 7 51311 [ D A TA ] [ ] [ ] 9 [ ] 8[...]

E-62 [ 2nd ] [ S T A T V AR ] [ ] [ ] Example 4 6  Enter the data : a x = 2 , X 1 = 3, FREQ 1 = 2 , X 2 = 5 , FREQ 2 = 9 , X 3 = 12 , FRE Q 3 = 7 , then f ind t = –1.510 9 66 203, P( t ) = 0. 065 4, Q( t ) = 0 .4346, R ( t ) =0. 9 346 [ MODE ] 1 [ ] [ D A TA ] [ ] [ ] [ ] 2 [ ] [ D A TA ] [ ] 3 [ ] 2 [ ] 5 [ ] 9 [ ] 12 [ ] 7 [ 2nd ] [ S T A T [...]

E-63 [ ] [ ] Example 4 7  Gi ven the foll owin g data, use linear regr essi on to estimate x ’ =? for y =5 7 3 and y ’= ? f or x = 19 X 15 17 21 28 Y 45 1 475 52 5 678 [ MODE ] 1 [ ] [ ] [ ] [ D A TA ] [ ] 15 [ ] 4 51 [ ] 17 [ ] 4 7 5 [ ] 21 [ ] 525 [ ] 28 [ ] 6 7 8[...]

E-64 [ 2 nd ] [ S T A T V AR ] [ Graph ] [ 2nd ] [ S T A T V AR ] [ ] [ ] [ ] [ ] 5 7 3 [ ] [ 2nd ] [ S T A T V AR ] [ ] [ ] [ ] [ ] [ ] 19 [ ] Example 48  Gi ven the foll owi ng data, use quadr atic reg ress ion to estimate y ’ = ? for x = 58 an d x ’ =? for y =14 3 X 57 61 67 Y 101 117 15 5 [ MODE ] 1 [ ][...]

E-65 [ ] [ ] [ ] [ ] [ DA TA ] [ ] 57 [ ] 101 [ ] 61 [ ] 117 [ ] 6 7 [ ]155 [ 2nd ] [ S T A T V AR ] [ Graph ] [ 2 nd ] [ S T A T V AR ] [ ] [ ] [ ] [ ] 143 [ ] [ ] [ 2nd ] [ S T A T V AR ] [ ] [ ] [ ] [ ][...]

E-66 [ ] 58 [ ] Example 49  31 10 = 1F 16 = 11111 2 = 3 7 8 [ MODE ] 2 31 [ ] [ dhbo ] [ ] [ ] [ ] Example 50  4 777 10 = 1001010101001 2[...]

E-67 [ MODE ] 2 [ dhbo ] [ ] [ ] [ ] [ dhbo ] [ ] [ ] [ ] 4 777 [ ] [ ] [ ] [ ] Example 51  What is the negativ e of 3A 16 ? Ans : FFFFFFC6 [ MODE ] 2 [ dhbo ] [ ] [ ] [ NEG ] 3 [ / A ] [ ] Example 5 2  12 34 10 + 1EF 16 24 8 = 23 5 2 8 = 125 8 10[...]

E-68 [ MODE ] 2 [ dhbo ] [ ] [ ] [ dhbo ] [ ] [ ] [ ] 123 4 [ + ] [ dhbo ] [ ] [ ] [ ] [ ] 1[ IE ] [ IF ] [ ] [ dhbo ] [ ] [ ] [ ] 2 4 [ ] [ dhbo ] [ ] [ ] [ ] Example 53[...]

E-69  1010 2 AND ( A 16 OR 7 16 ) = 1010 2 = 10 10 [ MODE ] 2 [ dhbo ] [ ] [ ] [ ] [ dhbo ] [ ] [ ] [ ] [ ] [ ] 1010 [ AND ] [ ( ) ] [ dhbo ] [ ] [ ] [ ] [ ] [ / A ] [ OR ] [ dhbo ] [ ] [ ] [ ] [ ] 7 [ ] [ dhbo ] [ ] [ ] Example 5 4  Create a prog ram to perf orm arith metic calculati on with com plex numbers Z 1 = A + B i, Z 2 = C + D i • [...]

E-70 • Quo tient : Z 1 Z 2 = E + F i = RUN  When the message “1 : + ” , “ 2 : – ” , “ 3 : × ” , “ 4 : / ” appears on the display , you can input a value f or “ O ” that corresponds to the t ype of ope ration you want to pe rformed, as follows: 1 for Z 1 + Z 2 2 for Z 1 – Z 2 3 for Z 1 × Z 2 4 for Z 1 Z 2 (1)[...]

E-71 [ ] ( 5 Second s ) [ ] 1 [ ] 17 [ ] 5 [ ] [ ( – ) ] 3 [ ] 14 [ ] (2) [ ] ( 5 Second s ) [ ] 2[...]

E-72 [ ] 10 [ ] 13 [ ] 6 [ ] 17 [ ] (3) [ ] ( 5 Second s ) [ ] 3 [ ] 2 [ ] [ ( – ) ] 5 [ ] 11 [ ] 17 [ ] (4)[...]

E-73 [ ] ( 5 Second s ) [ ] 4 [ ] 6 [ ] 5 [ ] [ ( – ) ] 3 [ ] 4 [ ] Example 55  Create a program to determ ine solutions to t he quadrat ic equat ion A X 2 + B X + C = 0, D = B 2 – 4AC 1) D > 0 , , 2) D = 0 3) D < 0 , ,[...]

E-74 RUN (1) 2 X 2 – 7 X + 5 = 0 X 1 = 2 .5 , X 2 = 1 [ ] 2 [ ] [ ( – ) ] ] 7 [ ] 5 [ ] (2) 25 X 2 – 7 0 X + 49 = 0 X = 1.4 [ ] 25 [ ] [ ( – ) ] 70 [ ] 49[...]

E-75 [ ] (3) X 2 + 2 X + 5 = 0 X 1 = – 1 + 2 i , X 2 = – 1 – 2 i [ ] 1 [ ] 2 [ ] 5 [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ][ ] Example 56  Create a pr ogram to gener ate a common differ ence sequence ( A : F irst item, D : c ommon dif ference, N : numb er ) Sum : S ( N ) = A+(A+D)+( A+2D)+( A+3D)+... = Nth item : A ([...]

E-76 RUN  When the messa ge “ 1: A(N ), 2 :S (N) ” a ppears o n the di splay , you can input a “ P ” value to spec ify the type of operati on to be perform ed: 1 f o r A ( N ) 2 f o r S ( N ) 32 ( 1) A = 3 , D = 2 , N = 4 A(N) = A (4) = 9 [ ] ( 5 Second s ) 1 [ ] 3 [ ] 2 [ ] 4 [ ][...]

E-77 (2) A = 3 , D = 2, N = 12 S (N) = S (12) = 168 [ ] ( 5 Second s ) 2 [ ] 3 [ ] 2 [ ] 12 [ ] Example 5 7  Create a progr am to generate a common rati o sequence ( A : Fir st item, R : com mon ratio, N : numbe r ) Sum : S ( N ) = A + AR + AR 2 + AR 3 .... 1) R 1 2) R = 1 A ( N ) = AR ( N – 1 ) Nth item : A ( N ) = A ( N – 1 )[...]

E-78 RUN  When the messa ge “ 1: A(N ), 2 :S (N) ” a ppears o n the di splay , you can input a “ P ” value to spec ify the type of operati on to be perform ed: 1 f o r A ( N ) 2 f o r S ( N ) (1) A = 5 , R = 4, N = 7 A (N) = A (7) = 204 80 [ ] ( 5 Second s ) 1 [ ] 5 [ ] 4 [ ] 7[...]

E-79 [ ] (2) A = 5 , R = 4, N = 9 S (N) = S (9) = 43 69 05 [ ] ( 5 Second s ) 2 [ ] 5 [ ] 4 [ ] 9 [ ] (3) A = 7 ,R = 1, N = 14 S (N) = S (14) = 98 [ ] ( 5 Second s ) 2 [ ] 7 [ ] 1 [ ] 14[...]

E-80 [ ] Example 5 8  Create a progr am to determine the solut ions for linear equations of t he form: RUN [ ][...]

E-81 4 [ ] [ ( – ) ] 1 [ ] 30 [ ] 5 [ ] 9 [ ] 17 [ ] Example 5 9  Create three s ubro utines to stor e the follo wing f ormulas and th en use the GOSU B-PR OG command to write a mainroutine to e xecute the subroutines. Subrouti ne 1 : CHA RGE = N × 3 Subroutine 2 : P OWER = I A Subro utine 3 : V OL TA GE = I ( B × Q × A )[...]

E-82 RUN  N = 1.5, I = 486 , A = 2 CHARGE = 4. 5, P OWER = 2 43, V OL TA GE = 2 [ ] 1.5 [ ] ( 5 Second s )[...]

E-83 486 [ ] 2 [ ] ( 5 Second s ) Example 60  Create a pr ogram that graphs Y = – and Y = 2 X with the following range settings : X min = –3.4, X ma x = 3.4, X scl = 1, Y min = –3, Y max = 3, Y scl = 1 RUN [ ][...]

E-84 [ G T ] Example 61  Use a FOR loop to calculate 1 + 6 = ? , 1 + 5 = ? 1 + 4 = ?, 2 + 6 = ?, 2 + 5 = ? 2 + 4 = ? RUN [ ][...]

E-85 Example 6 2  Set the progr am type to “BaseN” and ev aluate ANS = 1010 2 AND ( Y OR 7 16 ) (1) If Y = /A 16 , Ans = 10 10 [ ] [ dhbo ] [ ] [ ] [ ] [ ] / A [ ] (2) If Y =11011 8 , Ans = 1010 2 EDIT[...]

E-86 [ ] [ ] [ dhbo ] [ ] [ ] [ ] RUN [ ] [ dhbo ] [ ] [ ] [ ] 11011 [ ] Example 63  Create a prog ram to e valuate th e follow ing, and insert a displa y result command ( ) to check t he content o f a me mory variable B = log ( A + 90 ), C = 13 × A, D = 51 ( A × B )[...]

E-87 RUN  A = 10 C = 130 , D = 2 .5 5 [ ] 10 [ ] [ 2nd ] [ RCL ] [ ] [ ] [ CL / ESC ] [ ][...]