Casio fx-5800P manuale d’uso

fx-5800P User's Guide http://world.casio .com/edu/ RJA516644-001V01 E[...]

E-1 k Remove the insulation sheet! Y our calculator comes with a special insulation sheet, which isolates the battery from the contacts in the battery compar tment, to keep the battery from running down during storage and shipment. Be sure to remov e the insulation sheet before trying to use the calculator for the fi rst time . To remove the insul[...]

E-2 k About this Manual • Most of the keys perf or m multiple functions . Pressing 1 or S and then another ke y will perform the alternate function of the other key . Alter nate functions are marked abov e the ke ycap. Alternate function Key c ap function Alternate function operations are notated in this manual as shown below . Example: 1 s (sin [...]

E-3 • A mar k lik e the ones shown below indicates that you need to change the calculator’ s angle unit setting. If you see this: Change the angle unit setting to: If you see this: Change the angle unit setting to: v Deg V Rad For details , see “Specifying the Angle Unit” (page 12). Safety Precautions Be sure to read the follo wing safety p[...]

E-4 Operating Precautions • Be sure to press the P button on the back of the calculator before using the calculator for the fi rst time. See page 1 for inf ormation about the P button. • Even if the calculator is operating normally , replace the battery at least once a year . A dead battery can leak, causing damage to and malfunction of the ca[...]

E-5 Contents Remov e the insulation sheet! ............................................................................................. 1 Resetting the Calculator to Initial Defaults.......................................................................... 1 About this Manual ........................................................................[...]

E-6 Reserving V ariable Memory ................................................................... 35 User Memory Area ........................................................................................................... 35 Using Extra V ar iables ................................................................................................[...]

E-7 Viewing Equation Solutions .............................................................................................. 72 Statistical Calculations (SD/REG) ......................................................... 72 Statistical Sample Data .................................................................................................... 7[...]

E-8 Appendix ............................................................................................... 128 Calculation Priority Sequence ........................................................................................ 128 Stack Limitations ................................................................................................[...]

E-9 Before starting a calculation... k Tu r n i ng On the Calculator Press o . This displays the same screen that was on the displa y when you last turned off the calculator . A Adjusting Display Contrast If the fi gures on the displa y become hard to read, try adjusting display contrast. 1. Press N c 3 (SYSTEM) 1 (Contrast). • This displays the[...]

E-10 Input expression Calculation result A Display Symbols The symbols described below appear on the display of the calculator to indicate the current calculation mode, the calculator setup , the progress of calculations, and more. The nearby sample screen shows the 7 symbol. The 7 symbol turns on when degrees (Deg) are selected for the default ang[...]

E-11 To select this calculation mode: Go to this screen: And press this key: LINK (Communication) Screen 2 1 (LINK) MEMOR Y (Memor y Management) 2 (MEMOR Y) SYSTEM (Contrast Adjustment, Reset) 3 (SYSTEM) • T o exit the calculation mode menu without changing the calculation mode , press N . k Calculator Setup The calculator setup can be used to co[...]

E-12 A Specifying the Angle Unit To select this angle unit: Perf orm this key operation: Degrees 1N 3 (Deg) Radians 1N 4 (Rad) Grads 1N 5 (Gra) (90˚ = π 2 radians = 100 grads) A Specifying the Display Digits To specify this display digit setting: Perf orm this key operation: Number of Decimal Places 1N 6 (Fix) 0 (0) to 9 (9) Signifi cant Digits [...]

E-13 A Specifying the Engineering Symbol Setting This setting lets you turn engineering symbols on and off. For more information, see “Using Engineering Symbols” on page 54. To do this: Perf orm this key operation: Tu rn engineering symbols on 1N c 3 (ENG) 1 (EngOn) Tu rn engineering symbols off 1N c 3 (ENG) 2 (EngOff) While engineering symbols[...]

E-14 Calculation Mode ..................................... COMP Setup Settings Display F ormat .................................... MthIO Angle Unit ............................................ Deg Exponential Display ............................. Nor m1 Fr action Format .................................. d/c Complex Number F ormat ...............[...]

E-15 A Inputting Scientifi c Functions with P arentheses (sin, cos, ' , etc.) Y our calculator suppor ts input of the scientifi c functions with parentheses shown below . Note that after you input the argument, y ou need to press ) to close the parentheses. sin(, cos(, tan(, sin –1 (, cos –1 (, tan –1 (, sinh(, cosh(, tanh(, sinh –1 [...]

E-16 A Number of Input Characters (Bytes) As you input a mathematical e xpression, it is stored in memor y called an “input area, ” which has a capacity of 127 bytes. This means y ou can input up to 127 bytes f or a single mathematical expression. When linear display is selected as the displa y format, each function normally uses one or two byt[...]

E-17 Function Key Operation *1 *2 Derivative z – {MA TH} 2 (d/dX) 7 Y es Second Derivative z – {MA TH} 3 (d 2 /dX 2 )7 Y es Σ Calculation z – {MA TH} 4 ( Σ () 11 Y es Note If you include v alues or expressions in parentheses ( ( and ) ) while using natural display , the height of the parentheses will adjust automatically depending on whethe[...]

E-18 A Scrolling the Screen Left and Right The screen will show up to 14 characters when inputting with natural displa y . When y ou input more than 14 characters, the screen will scroll automatically . If this happens , the ] symbol will turn on to let you know that the e xpression runs off the left side of the display . B Input expression 1111 + [...]

E-19 k Editing a Calculation A Insert Mode and Overwrite Mode The calculator has two input modes. The insert mode inser ts your input at the cursor location, shifting anything to the right of the cursor to make room. The ov erwrite mode replaces the ke y operation at the cursor location with your input. Only the inser t mode is a vailable when natu[...]

E-20 dd Y Overwrite Mode b 369**12 ddd Y A Editing a Ke y Operation within an Expression With the inser t mode , use d and e to mov e the cursor to the right of the key operation you want to edit, press Y to delete it, and then perform the correct ke y operation. With the ov erwrite mode, mov e the cursor to the key oper ation you want to correct a[...]

E-21 k Finding the Location of an Error If your calculation e xpression is incorrect, an error message will appear on the display when you press E to ex ecute it. Pressing the J , d , or e ke y after an error message appears will cause the cursor to jump to the location in your calculation that caused the error so you can correct it. Example: When [...]

E-22 k Example Calculations Example: ' 2 + ' 8 = 3 ' 2 B ! 2 e + ! 8 E Produce the result in decimal format: ! 2 e + ! 8 1E Using the f Key (S-D T ransfor mation) Y ou can use the f ke y to transform a value betw een its decimal (D) form and its standard (S) fo rm (fraction, ' , π ). Important! • Depending on the type of calc[...]

E-23 Note • Each press of the f ke y toggles the displayed result betw een the two forms. • The format of the fraction depends on which fraction display f ormat (improper or mixed) is currently selected (page 12). Example 2: While natural displa y is selected as the display f ormat, to perform the calculation 111 ÷ 33, and then conv er t the r[...]

E-24 Example 1: 2.5 + 1 − 2 = 1.5 b 2.5+1-2 E Example 2: 7 × 8 − 4 × 5 = 36 b 7*8-4*5 E • The calculator deter mines the proper priority sequence for addition, subtraction, m ultiplication, and division automatically . See “Calculation Priority Sequence” on page 128 for more inf ormation. k Fractions K eep in mind when inputting fractio[...]

E-25 A Fraction Calculation Examples Example 1: 2 3 + 1 2 = 7 6 B ' 2 c 3 e + ' 1 c 2 E b 2 ' 3+1 ' 2 E Example 2: 3 1 4 + 1 2 3 = 4 11 1 2 (F raction Display F ormat: ab/c) b 3 ' 1 ' 4+ 1 ' 2 ' 3 E B 1 ' ( ( ) 3 e 1 c 4 e + 1 ' ( ( ) 1 e 2 c 3 E[...]

E-26 Note • If the total number of elements (integer digits + numerator digits + denominator digits + separator symbols) that make up a mix ed fraction e xpression is greater than 10, the calculation result will be display ed in decimal form. • If an input calculation includes a mixture of fraction and decimal values, the result will be display[...]

E-27 Example 1: 2% = 0.02 ( 2 1 00 ) 2 1 , (%) E Example 2: 150 × 20% = 30 (150 × 2 0 1 0 0 ) 150*20 1 , (%) E Example 3: What percent of 880 is 660? 660/880 1 , (%) E Example 4: Increase 2500 b y 15%. 2500+2500* 15 1 , (%) E Example 5: Reduce 3500 b y 25%. 3500-3500* 25 1 , (%) E k Degree, Minute, Second (Sexagesimal) Calculations Y ou can perfo[...]

E-28 A Sexagesimal Calculation Examples • The following types of se xagesimal calculations will produce sexagesimal results. - Addition or subtraction of tw o sexagesimal v alues - Multiplication or division of a se xagesimal value and a decimal v alue Example 1: 2°20´30˝ + 39´30˝ = 3°00´00˝ b 2 e 20 e 30 e + 0 e 39 e 30 e E Example 2: 2?[...]

E-29 k Accessing Calculation History The ` symbol in the upper right cor ner of the displa y indicates that there is data stored in calculation history . T o view the data in calculation history , press f . Each press of f will scroll upwards (back) one calculation, displa ying both the calculation expression and its result. Example: B 1+1 E 2+2 E [...]

E-30 d YYYY -7.1 E Using Multi-statements in Calculations A multi-statement is a statement that is made up of multiple calculation e xpressions separated by special separ ator codes (: and ^ ). The following e xamples show how the tw o separator codes diff er from each other. {expression 1} : {expression 2} : .... : {expression n } Pressing E ex ec[...]

E-31 E E Note • The Q symbol turns on in the upper r ight corner of the display when e xecution of a multi-statement calculation has been paused by a ^ separator . • When performing a multi-statement calculation, Ans (Answer Memory) (page 32) is updated each time any of the statements that makes up a m ulti-statement produces a result. • Y ou[...]

E-32 k Using Answer Memory (Ans) The result of any new calculation y ou perform on the calculator is stored automatically in Answ er Memor y (Ans). A A utomatic Inser tion of Ans in Consecutive Calculations If you start a new calculation while the result of a previous calculation is still on the displa y , the calculator will inser t Ans into the a[...]

E-33 A Inserting Ans into a Calculation Manually Yo u can inser t Ans into a calculation at the current cursor location b y pressing 1 - (Ans). Example 1: To use the result of 123 + 456 in another calculation as shown below 123 + 456 = 579 789 – 579 = 210 b 123+456 E 789- 1 - (Ans) E Example 2: To deter mine the square root of 3 2 + 4 2 and then [...]

E-34 Example: To subtract the result of 3 × 2 from independent memory (M) b 3*2 1 l (M–) Note Pressing l or 1 l (M–) while a calculation result is on the display will add it to or subtract it from independent memory . Important! The value that appears on the displa y when you press l or 1 l (M–) at the end of a calculation in place of E is t[...]

E-35 A Using a V ariable in a Calculation Y ou can use variables in calculations the same wa y you use v alues. Example: To calculate 5 + A 5+ S 0 (A) E A Clearing the V alue Assigned to a V ariable (to 0) Example: To clear variable A 0 1 ~ (ST O) 0 (A) A Clearing All V ariables (to 0) Use the MEMOR Y Mode screen to clear the contents of all the va[...]

E-36 A Adding Extra V ariables Example: To increase the number of variables b y 10 b 10 z – {PROG} – { / } 1 . (Dim Z) E • When “Done” appears on the display , it means that the number of extra var iables y ou specifi ed has been added. At this point, zero is assigned to all of the extr a variables. (T o check the value of Z[10]) o S 5 ([...]

E-37 Important! Y ou can write data to extra variab les in the COMP Mode or in a COMP Mode program. A Recalling the Contents of an Extra V ariable Input the name (Z[ n ]) of the extr a variable whose contents you w ant to recall, and then press E . Example: To recall the contents of extra v ariable Z[5] b S 5 (Z) Si ([) 5 a 6 (]) E A Using an Extra[...]

E-38 k Scientifi c Constants Yo ur calculator has 40 often-used scientifi c constants b uilt in. Like π , each scientifi c constant has a unique display symbol. Scientifi c constants are supported in all modes, except f or the BASE-N Mode. A Inputting a Scientifi c Constant 1. Press z to display the function men u. 2. On the menu, select “C[...]

E-39 z – {CONST} cccc 1 ( ƫ 0 ) ) E A List of Scientifi c Constants The numbers in the “No. ” column show the scientifi c constant menu page number on the left and the number ke y you need to press to select the constant when the proper menu page is display ed. No. Scientifi c Constant No. Scientifi c Constant 1-1 Proton mass 3-5 Muon ma[...]

E-40 Scientifi c Function Calculations Unless otherwise noted, the functions in this section can be used in any of the calculator’ s calculation modes, e xcept for the BASE-N Mode. Scientifi c Function Calculation Precautions • When performing a calculation that includes a built-in scientifi c function, it ma y take some time before the calc[...]

E-41 k Angle Unit Con version Y ou can convert a value that was input using one angle unit to another angle unit. After you input a v alue, select z – {ANGLE} to display the men u screen shown below . 1 (°): Degrees 2 ( r ): Radians 3 ( g ): Grads Example: To convert π 2 radians to degrees bv ( 1 5 ( π ) /2) z – {ANGLE} 2 ( r ) E k Hyperboli[...]

E-42 Example 1 : log 2 16 = 4, log16 = 1.204119983 b l 2,16) E l 16) E Base 10 (common logarithm) is assumed when no base is specifi ed. B z – {MA TH} c 7 (logab) 2 e 16 E Example 2 : ln 90 (= log e 90) = 4.49980967 b i 90) E k P ower Functions and P ower Root Functions x 2 , x –1 , ^(, ' (, 3 ' (, x ' ( A Syntax and Input { n }[...]

E-43 (1+1) 6 2+2) E B ( ! 2 e +1) ( ! 2 e -1) E (1+1) 6 2+2 E Example 2: (–2) 2 3 = 1.587401052 b ( - 2) 6 (2 ' 3) E k Integration Calculation Y our calculator performs integration using Gauss-Kronrod integration f or approximation. The calculator uses the follo wing function for integration. ∫ ( A Syntax and Input ∫ ( f ( x ), a , b , t[...]

E-44 b z – {MA TH} 1 ( ∫ dX) iS 0 (X) ),1, 1i ( % ) 1)) E A Remarks • Use of ∫ ( is suppor ted in the COMP , SD , REG, and EQN Modes only . • The following functions cannot be input f or the f ( x ), a , b , and tol parameters: ∫ (, d / dx (, d 2 / dx 2 (, Σ (. In addition, the P ol( and Rec( functions, and the random number functions [...]

E-45 a b f ( x ) dx = a x 1 f ( x ) dx + x 1 x 2 f ( x ) dx + .....+ x 4 b f ( x ) dx ∫∫∫ ∫ k Derivative Y our calculator performs differential calculations b y approximating the derivativ e based on centered difference appro ximation. Calculation is performed using the function shown below . d / dx ( A Syntax and Input d / dx ( f ( x ), a [...]

E-46 differential calculation result that approaches z ero can cause poor precision or error. • Y ou can interrupt an ongoing differential calculation operation b y pressing o . k Second Derivative Y our calculator lets you calculate the second derivativ e coeffi cient ( d 2 / dx 2 ( f ( x ))| x = a ) for f ( x ) where x = a . Y our calculator u[...]

E-47 The follo wing shows the calculation formula used f or Σ calculations. Σ ( f ( x ), x , a , b ) = f ( a ) + f ( a +1) + .... + f ( b ) A Syntax and Input Σ ( f ( x ), x , a , b ) f ( x ): Function of x (parameter variab le specifi ed below) x : Pa r ameter variable (An y letter from A through Z) • If the v ariable name you specify here d[...]

E-48 A Syntax and Input Rectangular-to-P olar Coordinate Conversion (P ol) P ol( x , y ) x : Rectangular coordinate x -value y : Rectangular coordinate y -value P olar-to-Rectangular Coordinate Conversion (Rec) Rec( r , Ƨ ) r : P olar coordinate r -value Ƨ : P olar coordinate Ƨ -value Example 1: To convert the rectangular coordinates ( ' 2,[...]

E-49 k Random Number Functions Y our calculator comes with functions for generating ten-digit non-sequential random numbers, ten-digit sequential random n umbers, or random integers within a specifi c r ange. The follo wing are the random number generation functions. Ran#, RanInt#( A Non-sequential Random Numbers (Decimal V alues) The follo wing g[...]

E-50 z – {MA TH} 6 (Ran#) 1 E E E A Random Integers This function generates random integers within a specifi c range. Syntax: RanInt#({ m }, { n }) ( m and n are integers. m < n ; m , n < 1 E 10; n – m < 1 E 10) Example: To generate random integers in the range of 0 to 5 B z – {MA TH} c 8 (RanInt) 0,5) E E E The above v alues are pr[...]

E-51 A Factorial (!) Syntax: { n }! ({ n } must be a natural number or 0.) Example: (5 + 3)! b (5+3) z – {MA TH} 5 (X!) E A Absolute V alue (Abs) Syntax: Abs({ n }) Example: Abs (2 – 7) = 5 B z – {MA TH} c 1 (Abs) 2-7 E b z – {MA TH} c 1 (Abs) 2-7) E A P ermutation ( n P r )/Combination ( n C r ) Syntax: { n }P{ m }, { n }C{ m } Example: Ho[...]

E-52 Display Digit Setting: Norm1 or Norm2 The mantissa is rounded off to 10 digits. Display Digit Setting: Fix or Sci The value is rounded to the specifi ed number of digits. Example: 200 ÷ 7 × 14 = 400 b 200/7*14 E (3 decimal places) 1N (SETUP) 6 (Fix) 3 E (Internal calculation uses 15 digits.) 200/7 E *14 E Now perf or m the same calculation [...]

E-53 Syntax: Int({ n }) Example: To extract the integer part of –1.5 b z – {MA TH} c 2 (Int) - 1.5) E A Fractional P ar t Extraction (Frac) The F rac( function extracts the fr actional par t of the real number input as its argument. Syntax: Fr ac( { n }) Example: To extract the fr actional par t of –1.5 b z – {MA TH} c 3 (F rac) - 1.5) E A [...]

E-54 k ENG Con version Examples Example 1: To convert 1234 to engineer ing notation using ENG / B 1234 E 1 / (ENG) 1 / (ENG) Example 2: To convert 123 to engineer ing notation using ENG , B 123 E 1 * ( ENG ) 1 * ( ENG ) k Using Engineering Symbols Y our calculator suppor ts the use of ten engineering symbols (m, ƫ , n, p, f , k, M, G, T , P) that [...]

E-55 A Inputting V alues Using Engineering Symbols Example: To input 500 k 500 z – {MA TH} ccc 6 (k) A Using ENG (10 3 ) Con version while Engineering Symbols Tu rned on (EngOn) P erforming ENG conv ersion while “EngOn” is selected for engineering symbols (page 13) will mov e the decimal point three places to the right, and change the enginee[...]

E-56 Example: To input 2 + 3 i 2+3 i A Inputting Complex Number V alues Using Polar Coor dinate Format Complex n umbers can also be input using polar coordinate format ( r ∠ Ƨ ). Example: To input 5 ∠ 30 5 1 i ( ∠ ) 30 Important! When inputting argument Ƨ , enter a value that indicates an angle in accordance with the calculator’ s current[...]

E-57 Example 1: 2 × ( ' 3 + i ) = 2 ' 3 + 2 i = 4 ∠ 30 Bv 2*( ! 3 e + i ) E b 2*( ! 3)+ i ) E When using linear display f ormat, calculation results are displayed in two lines showing the absolute v alue and argument. Example 2: 1 + i = ' 2 ∠ 45 Bv 1+ i E k Conjugate Complex Number (Conjg) Y ou can perform the operation below to[...]

E-58 Argument: z – {COMPLX} 2 (Arg) 2+2 i ) E k Extracting the Real P ar t (ReP) and Ima ginary Part (ImP) of a Complex Number Y ou can use the following oper ations to extract the real part ( a ) or imaginary par t ( b ) of complex n umber a + b i . Example: Obtain the real par t and imaginary par t of 2 + 3 i B z – {COMPLX} 4 (ReP) 2+3 0 ) E [...]

E-59 Matrix Calculations (COMP) To perform the example oper ations in this section, fi rst select COMP ( N 1 ) as the calculation mode. k Matrix Calculation Overview Matrix calculations are performed by fi rst storing the matrices in one of six matrix memory areas named Mat A through Mat F , and then using the matrix area variables to perf or m t[...]

E-60 A Using the Matrix Editor Screen to Input Matrix Data 1. Press z – {MA TRIX} 1 (EDIT) to display the matrix memory area menu. • A memor y area that already contains a matrix will show the dimensions of its matrix (like 2 × 2), while an area that is empty will be indicated by “None”. 2. Use c and f to mov e the highlighting to the matr[...]

E-61 2. Input the v alue assignment command ( / ). z – {PROG} –{ / } 3. Specify the matrix memory (Mat A to Mat F or Mat Ans) where you want to store the matrix. • T o store it in Mat A, for e xample, perform the follo wing key operation: z – {MA TRIX} 2 (Mat) S i (A). Important! If you specify a matrix memor y that already contains matrix [...]

E-62 k P erforming Matrix Calculations This section presents a number of actual e xamples of matrix calculations. • Before performing matrix calculations, you need to perf orm the procedure under “Inputting and Editing Matrix Data” (page 59) to input data into the matrices you plan to use in the calculations. • The table below shows the mat[...]

E-63 E Note While a calculation screen is on the display , you can input the Mat Ans variable b y pressing z – {MA TRIX} 2 (Mat) 1 - (Ans). A Calculating the Scalar Multiplication of a Matrix Y our calculator suppor ts the f ollowing types of scalar multiplication calculations. n × Mat A, n Mat A, Mat A × n , Mat A ÷ n • Y ou can replace “[...]

E-64 A Obtaining the Determinant of a Matrix The det( function can be used to obtain the determinant of a square matr ix. det a 11 = a 11 det = a 11 a 22 – a 12 a 21 a 11 a 12 a 21 a 22 det = a 11 a 22 a 33 + a 12 a 23 a 31 + a 13 a 21 a 32 – a 13 a 22 a 31 – a 12 a 21 a 33 – a 11 a 23 a 32 a 11 a 12 a 13 a 21 a 22 a 23 a 31 a 32 a 33 Examp[...]

E-65 a 11 a 12 a 13 –1 a 21 a 22 a 23 a 31 a 32 a 33 = a 22 a 33 – a 23 a 32 – a 12 a 33 + a 13 a 32 a 12 a 23 – a 13 a 22 – a 21 a 33 + a 23 a 31 a 11 a 33 – a 13 a 31 – a 11 a 23 + a 13 a 21 a 21 a 32 – a 22 a 31 – a 11 a 32 + a 12 a 31 a 11 a 22 – a 12 a 21 a 11 a 22 a 33 + a 12 a 23 a 31 + a 13 a 21 a 32 – a 13 a 22 a 31 ?[...]

E-66 A Selecting the Sequence T ype To select this sequence type: P erform this key operation: a n T ype z – {TYPE} 1 ( a n ) a n +1 T ype z – {TYPE} 2 ( a n +1 ) A Sequence Editor Screen Either of the sequence editor screens shown below appears immediately after y ou enter the RECUR Mode and select the sequence type. Use this screen to input t[...]

E-67 3. After inputting e verything you want, press E . • This registers your input. If you input e xpressions, the calculation result of the expression is registered. • While any setting is highlighted, press E to display the sequence tab le screen (page 67). Returning to the Sequence Editor Screen from the T able Range Screen Press J . A Sequ[...]

E-68 k Creating a Sequence T able A Creating an a n +1 T ype Sequence T able Example: To create a sequence table with the recursion f ormula a n +1 = a n + n + 1 using a range of 1 < n < 10 ( n = integer). Note, how ever , that a 1 = 2. Enter the RECUR Mode: N 6 (RECUR) Select the a n +1 type: z – {TYPE} 2 ( a n +1 ) Input the recursion for[...]

E-69 Register the general ter m: E (This displays the tab le range screen.) Input Star t = 2 and End = 6: 2 E 6 E Create the sequence table: E (This displays the sequence tab le screen.) k Sequence Calculation Precautions The follo wing functions cannot be used during sequence calculations. • CALC • SOL VE • Coordinate conversion (P ol(, Rec([...]

E-70 1. Press N 8 (EQN). • This displays an initial EQN type menu like the one sho wn below . 2. Press 1 (aX+bY=c) to select simultaneous linear equations with two unknowns . • This displays a coeffi cient editor screen lik e the one shown below . Y ou can use this screen to input values f or the equation’ s coeffi cients. 3. Input v alues [...]

E-71 k Selecting an Equation T ype The follo wing shows the operations you can use to select an equation type . To select this equation type: Perform this ke y operation: EQN type menu item: Simultaneous Linear Equations with T wo Unknowns N 8 (EQN) 1 aX+bY=c Simultaneous Linear Equations with Three Unknowns N 8 (EQN) 2 aX+bY+cZ=d Simultaneous Line[...]

E-72 k Viewing Equation Solutions Pressing E while the coeffi cient editor is displa yed will displa y the solutions of the equation. Equation solution • Y ou can use c and f to scroll forw ard and back through the solutions. • Y ou can also press E while a solution is display ed to cycle through all of the other av ailable solutions . Pressin[...]

E-73 A Inputting Sample Data The follo wing example shows ho w to input the following sample data in the SD Mode . Class Value (X) Frequency (FREQ) 24.5 4 25.5 6 26.5 2 Enter the SD Mode: N 3 (SD) Input the class values in the X column: 24.5 E 25.5 E 26.5 E The initial default f or all frequencies is 1. Mov e the cursor to the top cell of the FREQ [...]

E-74 • Even though Y -data is not used and there is no indication of Y -data on the screen in the SD Mode, the calculator still maintains a Y -value (alwa ys zero) internally for each X-data. Because of this, if you perf orm a statistical calculation operation that involv es Y -data (such as Σ y ) after inputting single-variable data in the SD M[...]

E-75 2. Press z 5 (ST A T) 1 (Edit) 4 (Del Cell). • This deletes the cell where the cursor is located and shifts everything below it upwards . A new cell is inserted at the bottom of the column where the cell is deleted. (Del Cell) • The new cell that is inser ted at the bottom of the column is fi lled in with the applicable initial default v [...]

E-76 z 7 (ST A T) 2 (V AR) 2 ( o ) E This is one example of possib le calculation results. For more inf ormation about statistical calculation commands, see the following section. A SD Mode Statistical Command Reference n z 7 (ST A T) 2 (V AR) 1 Obtains the number of samples. n = (number of x i -data items) ¯ x z 7 (ST A T) 2 (V AR) 2 Obtains the [...]

E-77 maxX z 7 (ST A T) 2 (V AR) cc 2 Determines the maximum value of the samples. P( z 7 (ST A T) 3 (DISTR) 1 For the argument t , determines the probability of standard nor mal distribution P( t ). Q( z 7 (ST A T) 3 (DISTR) 2 For the argument t , determines the probability of standard nor mal distribution Q( t ). R( z 7 (ST A T) 3 (DISTR) 3 For th[...]

E-78 A Displaying the Statistical Calculation Result Screen In the REG Mode, you can displa y a screen that lists the results of standard deviation and sum calculations. Y ou can also display results f or a specifi c type of regression calculation. Note • Calculation results can be displayed up to 10 digits . • T o retur n to the ST A T editor[...]

E-79 2. Press the k ey that corresponds to the type of regression whose results you w ant to display . To display the results of this type of regression calculation: Press this key: Linear ( y = ax + b ) 1 (Line) Quadratic ( y = ax 2 + bx + c ) 2 (Quad) Logarithmic ( y = a + b ln x ) 3 (Log) e Exponential ( y = ae bx ) 4 ( e Exp) ab Exponential ( y[...]

E-80 A P erforming a Specifi c Regression Calculation Example: To use the statistical data shown below to perf orm logar ithmic reg ression to obtain the correlation coeffi cient and the estimated v alue of y when x = 100 x y 29 1.6 50 23.5 74 38.0 103 46.4 118 48.9 1. Displa y the logarithmic regression calculation result screen. z 6 (RESUL T) 2[...]

E-81 ¯ x z 7 (ST A T) 2 (V AR) 2 Obtains the mean of the sample x -data. x σ n z 7 (ST A T) 2 (V AR) 3 Obtains the population standard deviation of the sample x -data. x σ n –1 z 7 (ST A T) 2 (V AR) 4 Obtains the sample standard deviation of the sample x -data. ¯ y z 7 (ST A T) 2 (V AR) 5 Obtains the mean of the sample y -data. y σ n z 7 (ST[...]

E-82 ƙ y 2 z 7 (ST A T) 2 (V AR) c 3 Obtains the sum of squares of the sample y -data. Σ y 2 = Σ y i 2 ƙ y z 7 (ST A T) 2 (V AR) c 4 Obtains the sum of the sample y -data. Σ y = Σ y i ƙ xy z 7 (ST A T) 2 (V AR) c 5 Obtains the sum of products of the sample x -data and y -data. Σ xy = Σ x i y i ƙ x 3 z 7 (ST A T) 2 (V AR) c 6 Obtains the s[...]

E-83 Regression Coeffi cient and Estimated V alue Commands The values obtained b y the following commands depend on the reg ression formula used for the calculation. The regression formula used is the one that is applicable f or the regression calculation result screen (page 78) that was last displa yed in the REG Mode. a z 7 (ST A T) 2 (V AR) ccc[...]

E-84 For more information about this type of regression calculation: Go here: Pow er Regression <#07> Inv erse Regression <#08> k Statistical Calculation Examples This section provides some actual e xamples of statistical calculation examples as they are performed on your calculator . Example 1: The nearby table shows the pulse rates of[...]

E-85 Example 2: The nearby data shows how the weight of a newborn at various numbers of da ys after bir th. 1 Obtain the regression formula and correlation coeffi cient produced by linear regression of the data. 2 Obtain the regression formula and correlation coeffi cient produced by logarithmic regression of the data. 3 Predict the weight 350 da[...]

E-86 Base- n Calculations (BASE-N) To perform the example oper ations in this section, fi rst select BASE-N ( N 2 ) as the calculation mode. k P erforming Base- n Calculations When you press N 2 to enter the BASE-N Mode, the current setup appears on the display as sho wn below . Number base indicator Negative v alue setting indicator Number base i[...]

E-87 A Hexadecimal V alue Input and Calculation Example Use the follo wing keys to input the letters required f or hexadecimal v alues (A, B, C , D , E, F). i ∠ { A } ' ( { B } $ sct sin –1 { D } cos –1 { E } tan –1 { F } , { C } Example: To select hexadecimal as the number base and calculate 1F 16 + 1 16 o l (HEX) 1 t (F) +1 E A Effec[...]

E-88 Example: To convert the decimal value 30 10 to binary , octal, and hexadecimal format ox (DEC) 30 E i (BIN) 6 (OCT) l (HEX) k Specifying a Number Base for a P ar ticular V alue Y ou can specify a number base that is different from the current def ault number base while inputting a value . A Specifying the Number Base during Input Inputting a d[...]

E-89 A Example Calculation Using Base- n Specifi cation Example: To perform the calculation 5 10 + 5 16 , and display the result in binary o i (BIN) z 1 (BASE-N) 1 (d) 5+ z 1 (BASE-N) 2 (h) 5 E k P erforming Calculations Using Logical Operations and Negative Binary V alues Y our calculator can perform 32-digit (32-bit) binar y logical oper ations [...]

E-90 Example: 1111 2 xnor 101 2 = 11111111111111111111111111110101 2 1111 z 1 (BASE-N) c 6 (xnor) 101 E A Complement/In version (Not) Returns the result of a complement (bitwise inversion). Example: Not(1010 2 ) = 11111111111111111111111111110101 2 z 1 (BASE-N) c 2 (Not) 1010) E A Negation (Neg) Returns the two’s complement of a v alue. Negation [...]

E-91 Example: To assign the values A = 5, B = 3 and A = 5, B = 10 f or the expression 3 × A + B b 3* S 0 (A) + S ' (B) s (This displays the v alue assignment screen.) Assign A = 5 and B = 3: 5 E 3 E Execute the calculation: E Display the v alue assignment screen again: s Leav e A the way it is , and assign 10 to B: c 10 E Execute the calculat[...]

E-92 A Displaying Comment T ext on the V alue Assignment Screen Y ou can use the following syntax to add comment te xt to an expression y ou input with CALC: "comment text" : {calculation expression}. The comment text will appear in the top line of the value assignment screen in place of the e xpression. Example: To use CALC and input &qu[...]

E-93 . (This displays the v alue assignment screen.) Assign 0 to Y : 0 E Assign 1 to A: 1 E Input an initial value f or X (Here, input 1): 1 E Assign –2 to B: - 2 E Specify the variable y ou want to solve f or: f (Here we want to solv e for X, so mov e the highlighting to X.) Solve the equation: . • Press E to return to the value assignment scr[...]

E-94 • Due to the characteristics of Newton’ s Law , the follo wing scientifi c functions tend to make it diffi cult to obtain solutions . - P er iodic functions (lik e y = sin( x )) - Functions that produce steep slopes when gr aphed (like y = e x , y = 1 x ) - Discontinuous functions (lik e y = ' x ) A Solution Screen Contents The SOL [...]

E-95 A Expression Editor Screen The expression editor screen appears fi rst when you enter the T ABLE Mode. Y ou can use this screen to input the function of variable X, which will be used f or generation of a number table. Inputting on the Expression Editor Screen Example: To input f ( x ) = x 2 + 1 2 B S 0 (X) x + ' 1 c 2 Note • T o clear[...]

E-96 A Number T able Screen When you press E in step 3 under “Specifying the Start V alue, End V alue, and Step”, the calculator will perform the number table calculation in accordance with the function expression, start value, end v alue, and step that you ha ve input, and displa y the result on the number table screen. • Each of cells on th[...]

E-97 Register the function expression: E (This displays the tab le range screen.) Input Star t = 1, End = 5, and Step = 2: 1 E 5 E 2 E Create the number table: E (This displays the n umber table screen.) k Number T able Creation Precautions The precautions for n umber table creation are identical to the RECUR Mode precautions. For more inf ormation[...]

E-98 A Searc hing for a Built-in Formula b y Scrolling thr ough the Menu 1. Press G . 2. Use c and f to scroll through the built-in f ormula names until the one you want to recall is selected. A P erforming Calculation with a Built-in Formula The follo wing example shows ho w to use Heron’s f ormula to determine the area of a tr iangle when the l[...]

E-99 Use the e and d keys to scroll the f ormula right and left. Press J or w to return to the screen that was display ed before you pressed z 6 (LOOK). k Built-in Formula Names For details about the calculation f ormula used by each built-in f ormula, see <#09> in the separate Supplement. No. Displayed Name Formula Name 1 2-Line Int Angle of[...]

E-100 No. Displayed Name Formula Name 30 Conv  / Y  / Y Conv ersion 31 Coord Calc Coordinate Calculation (Direction Angle and Distance) 32 CosinTheorem Cosine Theorem 33 Coulomb’sLa w Coulomb’ s Law 34 Cubes Sum Sum of Cubes 35 Current Gain Current Gain 36 Deviation Deviation 37 Dist&DirecAn Distance and Direction Angle (Coordinates) [...]

E-101 No. Displayed Name Formula Name 69 LR S-CirImp Impedance in LR Series Circuit 70 LRC P-CirImp Impedance in LRC Parallel Circuit 71 LRC S-CirImp Impedance in LRC Series Circuit 72 MagPolF rcExr Force Ex er ting on Magnetic P ole 73 Magn Fld EKE Electronic Kinetic Energy in Magnetic Field 74 Magn Force Magnetic F orce 75 MinLossMatch Minimum Lo[...]

E-102 No. Displayed Name Formula Name 109 SimpHarmMot2 Simple Harmonic Motion (2) 110 SimpP endCyc Cycle of Simple P endulum 111 SineTheorem1 Sine Theorem (1) 112 SineTheorem2 Sine Theorem (2) 113 SineTheorem3 Sine Theorem (3) 114 Single Curve Single Curve 115 Sound Intens Sound Intensity 116 SphereS-Area Surface Area of a Sphere 117 SphereV olume [...]

E-103 • Here you can ex ecute the user formula you just sa ved by pressing w . 4. Press J to close the Fmla List screen. 5. Press , 5 (PROG) to enter the PR OG Mode. 6. Press 3 (EDIT). • This displays the Prog Edit or Fmla Edit fi le men u. • If the Prog Edit fi le menu is displa yed, press e to change to the Fmla Edit fi le menu. → 7. U[...]

E-104 A Formula Editing Screen Operations The formula editing screen is used f or saving a built-in f ormula under a new name, f or editing a formula, and f or creating a new formula. Y ou can perform the following oper ations on the formula editing screen. • The formula editing screen suppor ts input f or calculation formulas that can be input u[...]

E-105 k Program Mode Overvie w A Specifying a Program Run Mode Whenev er you create a new prog ram, you need to specify its “run mode”, which is the calculator mode where the program will run. There are three run modes: COMP , BASE-N, and Formula. When your pr ogram contains this: Select this run mode: Calculations performed in the COMP Mode (i[...]

E-106 The follo wing are the formulas for determining the surface area (S) and v olume (V) of a regular octahedron when the length of one side (A) is known. S = 2 ' 3 A 2 , V = 2 3 ' A 3 The follo wing program prompts for input of A and then outputs S and V in accordance with the abov e programs. "A" ? → A 2 × ' (3) × A[...]

E-107 E (This will display a prompt f or input of a value f or variable A.) Input 7 for A: 7 E (This displays the calculated result of surf ace area S.) The ^ command in the program causes it to pause and display the calculation result up to that point. Resume the program to perform the next calculation: E (This displays the calculated result of v [...]

E-108 A Program Commands Selecting z – {PROG} on the progr am editing screen will display a menu of progr am commands that you can use f or command input. z – {PROG} Note • The program commands that appear on the menu for input depend on the prog ram run mode. For more information, see the “Command Ref erence” (page 113). • Y ou can als[...]

E-109 4. Use e and d to mov e the cursor around the program, and perform the required operations to edit the contents of the program or to add ne w contents. • Y ou can press 1 f to jump to the beginning of the program, while 1 c jumps to the end. 5. After progr am contents are the way y ou want, press J . k Running a Program An existing prog ram[...]

E-110 Pressing J will display the prog ram editing screen, with the cursor located at the point where ex ecution was interrupted. A Using the Prog Command to Run a Pr ogram The Prog command can be used to specify a program fi le name and run that program directly from the COMP Mode or BASE-N Mode. Perf orm the procedure below in the COMP Mode or B[...]

E-111 Note The mode that the calculator will enter automatically when you clear an error message depends on the program’ s r un mode, as sho wn below . Program Run Mode Calculation Mode COMP Mode or Formula Mode COMP Mode BASE-N Mode BASE-N Mode PROG Mode Clearing an error message will display the editing screen f or the program, with the cursor [...]

E-112 A Adding a File Name to “Fa vorites” Y ou can add the fi le name of an often-used program to “F avorites”, which will cause the name to be display ed at the top of the fi le screens. Operation Procedure 1. On a fi le screen, highlight the name of the fi le y ou want to add to “F avorites”. 2. Press z 1 (F avorite-Add). • Thi[...]

E-113 To delete a program with this run mode: Display this screen: COMP or BASE-N Prog Delete fi le menu Fo rm ula Fmla Delete fi le menu 3. Use c and f to mov e the highlighting to the name of the program you want to delete and then press E . • This will cause the “Delete File?” confi rmation message to appear. 4. T o delete the specifi [...]

E-114 Example ? → A : A 2 : Ans 2 ^ (Output Command) ( 1 x ) Syntax <statement> ^ <statement> Function P auses program e xecution and displa ys the result of the current ex ecution. The Q symbol is turned on while program ex ecution is paused by this command. Example ? → A : A 2 ^ Ans 2 Note Program ex ecution paused by the ^ comman[...]

E-115 Note These commands evaluate the e xpressions on either side, and return 1 if true and 0 if false. A Jump Commands Goto ~ Lbl Syntax Goto n : .... : Lbl n or Lbl n : .... : Goto n ( n is an integer from 0 to 9, or a var iable name from A through Z.) Function Ex ecution of Goto n jumps to corresponding Lbl n . Example ? → A : Lbl 1 : ? → B[...]

E-116 Example Lbl 1 : ? → A : A > 0 S ' (A) ^ Goto 1 A Control Structure Commands: If Statements The If statement is used to control program e xecution branching according to whether the expression f ollowing If (which is the branching condition) is true or f alse. If Statement Precautions • An If statement must always be accompanied b [...]

E-117 For ~ T o ~ Step ~ Next (COMP) Syntax For <e xpression (star t v alue)> → <variable (control v ariable) > To <expression (end v alue)> Step <expression (step v alue)> : <statement> : ... <statement> : Next : ... Function Ex ecution of the statements from For to Ne xt repeats as the control variable is inc[...]

E-118 Function Ex ecutes another separate program (subroutine) from the current program (main routine). Subroutines Main Routine Lev el 1 Lev el 2 Lev el 3 Lev el 4 • A subroutine can be called up as many times as y ou like from the main routine. A subroutine can be called up from any number of main routines. • Ex ecution of the Prog "fi [...]

E-119 Return (COMP) Syntax ... : Return : ... Function Returns from a subroutine to the program from the program that called the subroutine. In a main routine, this command ter minates the progr am. Example Main Routine Subroutine (File Name: SB) 1 → A : Prog "SB" : C ^ F or A → B T o 10 : B + 1 → C : Next : Retur n Stop (COMP) Synt[...]

E-120 Cls Syntax ... : Cls : ... Function Clears all e xpressions and calculation results from the display . Locate Syntax Locate <column number> , <row number> , <v alue> Locate <column number> , <row n umber> , <expression> Locate <column number> , <row n umber> , "<character string>"[...]

E-121 A Clear Commands Y ou can input data clear commands from the menu that appears when you select z – {CLR}. ClrStat Syntax ClrStat Function Clears all list data (List X, List Y , List Freq). ClrMemory Syntax ClrMemory Function Clears all v ariables (A through Z) and Ans memor y to z ero. Note T o clear a specifi c v ariable, use 0 → <va[...]

E-122 Important! List X, List Y , and List Freq correspond respectiv ely to the X-column, Y -column, and the FREQ-column of the ST A T Mode’ s ST A T editor screen. Function The List command is used in combination with X ( S 0 ), Y ( S . ), F req ( z – {ST A T} 1 (LIST) 2 ) to perform the operations described in parentheses, abov e. Example 1 ?[...]

E-123 Display Format Setting Commands Fix (COMP) Syntax ... : Fix < n > : ...( n is an integer from 0 to 9.) Function Fix es the number of decimal places (from 0 to 9) for output of calculation results. Sci (COMP) Syntax ... : Sci < n > : ...( n is an integer from 0 to 9.) Function Fix es the number of signifi cant digits (from 1 to 10[...]

E-124 A Base- n Commands Dec, Hex, Bin, Oct (BASE-N) Syntax ... : Dec : ... / ... : He x : ... / ... : Bin : ... / ... : Oct : ... Function These commands specify the number base f or Base- n calculations. Signed, Unsigned (BASE-N) Syntax ... : Signed : ... ... : Unsigned : ... Function These commands specify whether Base- n calculation values are [...]

E-125 A Tr ansferring All Programs 1. P erform the following operation on the receiving calculator (Receiv er). N c 1 (LINK) 2 (Receive) • This will put the Receiver into receive standb y , which is indicated by “Receiving... ” on its display . 2. P erform the following operation on the sending calculator (Sender). N c 1 (LINK) 1 (T ransmit) [...]

E-126 3. On the Sender , use c and f to mov e the highlighting to the program you want to transf er, and then press 1 (SEL). • This will cause a “ ' ” mark to appear to the left of the fi le name, indicating that it is selected for tr ansfer . Each press of 1 (SEL) will toggle display of the “ ' ” mark ne xt to the fi le name [...]

E-127 To perform the example oper ations in this section, fi rst select MEMOR Y ( N c 2 ) as the mode. • This will display the Memory Manager screen, which provides a menu of the diff erent types of data in memor y . k Deletable Data T ypes and Supported Delete Operations The follo wing lists the types of data you can delete using Memory Manager[...]

E-128 3. Repeat steps 1 and 2 as required to select all of the data names y ou want. A Selecting Specifi c Data Items within a Folder 1. Use c and f to mov e the highlighting to the name of the data folder that contains the data w ant to delete. 2. Press E to enter the folder . • This will display a menu of all the data items contained in the fo[...]

E-129 Sequence Operation T ype Description 1P arenthetical Functions Po l (, Rec( ∫ (, d / dx (, d 2 / dx 2 (, Σ (, P(, Q(, R( sin(, cos(, tan(, sin –1 (, cos –1 (, tan –1 (, sinh(, cosh(, tanh(, sinh –1 (, cosh –1 (, tanh –1 ( log(, ln(, e ^(, 10^(, ' (, 3 ' ( Arg(, Abs(, ReP(, ImP(, Conjg( Not(, Neg(, Det(, T rn(, Rnd( In[...]

E-130 • Multiplication and division, and multiplication where the sign is omitted are the same pr iority (Priority 7), so these operations are performed from left to right when both types are mixed in the same calculation. Enclosing an operation in parentheses causes it to be performed fi rst, so the use of parentheses can result in different ca[...]

E-131 Functions Input Range cos x DEG 0 < | x | < 9×10 9 RAD 0 < | x | < 157079632.7 GRA 0 < | x | < 1×10 10 tan x DEG Same as sin x , except when | x | = (2 n –1)×90. RAD Same as sin x , except when | x | = (2 n –1)× π /2. GRA Same as sin x , except when | x | = (2 n –1)×100. sin –1 x 0 < | x | < 1 cos –1 x [...]

E-132 Functions Input Range ^( x y ) x > 0: –1×10 100 < y log x < 100 x = 0: y > 0 x < 0: y = n , m 2 n +1 ( m , n are integers) Howe ver: –1×10 100 < y log | x | < 100 x ' y y > 0: x G 0, –1×10 100 < 1/ x log y < 100 y = 0: x > 0 y < 0: x = 2 n +1, 2 n +1 m ( m G 0; m , n are integers) Howe ver: ?[...]

E-133 Error Message Cause Action Math ERROR • An intermediate or the fi nal result of the calculation falls outside of the allowab le calculation range. • An input value is outside the allowab le input range. • Y ou are tr ying to perf orm an illegal mathematical operation (such as division by zero). • Y ou input a complex number as an arg[...]

E-134 Error Message Cause Action Memory ERROR • An attempt was made to recall data (list, matrix, extra v ariable, formula va ri able, etc.) that does not e xist. • Check to make sure that the name of the data you are trying to recall is correct. Go ERROR • A “Goto n ” in t he progr am being ex ecuted does not hav e a corresponding “Lbl[...]

E-135 k Before assuming malfunction of the calculator ... Pe rf orm the following steps whenev er an error occurs during a calculation or when calculation results are not what you e xpected. If one step does not correct the problem, move on to the ne xt step. Note that you should make separate copies of important data before perf or ming these step[...]

E-136 • Nor mally when you replace the calculator’ s batter y , it stores its current memory contents in fl ash memor y and restores them after battery replacement is complete. If you continue to use the calculator without replacing the battery after the above message appears, the calculator will ev entually lose its ability to store data to ?[...]

E-137 6. Slide the battery cover bac k into its original position, and secure it in place with the screw . 7. Press the P b utton on the back of the calculator with a thin, pointed object to initialize the calculator . Be sure to perform this step! Do not skip it! A A uto Po wer Off Y our calculator will tur n off automatically if y ou do not perfo[...]

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