Casio FX-9750G plus User Manual

[Page 1] Casio FX-9750GPLUS - Graphing Calculator

E http://world.casio.com/edu_e/ User’s Guide fx-9750G PLUS CFX-9850G PLUS CFX-9850GB PLUS CFX-9850GC PLUS CFX-9950GB PLUS Downloaded from www.Manualslib.com manuals search engine ...

[Page 2] Casio FX-9750GPLUS - Graphing Calculator

fx-9750G PLUS owners... This manual covers the operations of various different calculator models. Note the meaning of the following symbols when using this manual. Meaning Indicates information about a function that is not supported by the fx-9750G P...

[Page 3] Casio FX-9750GPLUS - Graphing Calculator

i BEFORE USING THE CALCULATOR FOR THE FIRST TIME... Be sure to perform the following procedure to load batteries, reset the calculator, and adjust the contrast before trying to use the calculator for the first time. 1. Making sure that you do not acc...

[Page 4] Casio FX-9750GPLUS - Graphing Calculator

ii 5. Press m. • If the Main Menu shown above is not on the display, press the P button on the back of the calculator to perform memory reset. 6. Use the cursor keys (f, c, d, e) to select the CONT icon and press w or simply press c E to display th...

[Page 5] Casio FX-9750GPLUS - Graphing Calculator

ABOUT THE COLOR DISPLAY The display uses three colors: orange, blue, and green, to make data easier to understand. • Main Menu • Display Color Adjustment •Graph Function Menu •Graph Display (Example 1) • Graph Display (Example 2) •Graph-T...

[Page 6] Casio FX-9750GPLUS - Graphing Calculator

•Statistical Regression Graph Example •When you draw a graph or run a program, any comment text normally appears on the display in blue. You can, however, change the color of comment text to orange or green. Example: To draw a sine curve 1. Ente...

[Page 7] Casio FX-9750GPLUS - Graphing Calculator

KEYS Alpha Lock Normally, once you press a and then a key to input an alphabetic character, the key- board reverts to its primary functions immediately. If you press ! and then a, the keyboard locks in alpha input until you press a again. v Download...

[Page 8] Casio FX-9750GPLUS - Graphing Calculator

KEY TABLE vi Page Page Page Page Page Page 128 Page Page Page Page Page 132 113 47 46 2 47 46 154 144 120 369 4 2 27 283 46 46 46 46 45 45 45 45 21 20 36 36 36 36 39 36 45 36 47 36 49 49 47 36 45 45 22 49 Downloaded from www.Manualslib.com manuals s...

[Page 9] Casio FX-9750GPLUS - Graphing Calculator

Turning Power On And Off Using Modes Basic Calculations Replay Features Fraction Calculations Exponents Graph Functions Dual Graph Box Zoom Dynamic Graph Table Function Quick-Start Downloaded from www.Manualslib.com manuals search engine ...

[Page 10] Casio FX-9750GPLUS - Graphing Calculator

Quick-Start viii Welcome to the world of graphing calculators. Quick-Start is not a complete tutorial, but it takes you through many of the most common functions, from turning the power on, to specifying colors, and on to graphing complex equations...

[Page 11] Casio FX-9750GPLUS - Graphing Calculator

Quick-Start ix 2. Use defc to highlight RUN and then press w. This is the initial screen of the RUN mode, where you can perform manual calculations, and run programs. BASIC CALCULATIONS With manual calculations, you input formulas from left to right,...

[Page 12] Casio FX-9750GPLUS - Graphing Calculator

Quick-Start x 1. Press o. 2. Press ! m SET UP to switch the set up display. 3. Press cccc1 (Deg) to specify degrees as the angle unit. 4. Press J to clear the menu. 5. Press o to clear the unit. 6. Press cf*sefw. REPLAY FEATURES With the replay featu...

[Page 13] Casio FX-9750GPLUS - Graphing Calculator

Quick-Start xi FRACTION CALCULATIONS You can use the $ key to input fractions into calculations. The symbol “ { ” is used to separate the various parts of a fraction. Example: 1 15 / 16 + 37 / 9 1. Press o. 2. Press b$bf$ bg+dh$ jw. Converting...

[Page 14] Casio FX-9750GPLUS - Graphing Calculator

Quick-Start xii 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 exponent. 5. Press w. Downloaded from www.Manualslib.c...

[Page 15] Casio FX-9750GPLUS - Graphing Calculator

Quick-Start xiii GRAPH FUNCTIONS The graphing capabilities of this calculator makes it possible to draw complex graphs using either rectangular coordinates (horizontal axis: x ; vertical axis: y) or polar coordi- nates (angle: θ ; distance from or...

[Page 16] Casio FX-9750GPLUS - Graphing Calculator

Quick-Start xiv 2. Press 1 (ROOT). 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-Solv). 12345 6 2. Press 6 (g). 12 3 456 3. Press 3 (∫dx). 4....

[Page 17] Casio FX-9750GPLUS - Graphing Calculator

Quick-Start xv DUAL GRAPH With this function you can split the display between two areas and display two graphs on the same screen. Example: To draw the following two graphs and determine the points of intersection Y1 = X(X + 1)(X – 2) Y2 = X + 1.2...

[Page 18] Casio FX-9750GPLUS - Graphing Calculator

Quick-Start xvi 3. Use d, e, f, and c to move the pointer again. As you do, a box appears on the display. Move the pointer so the box encloses the area you want to enlarge. 4. Press w, and the enlarged area appears in the inactive (right side) scree...

[Page 19] Casio FX-9750GPLUS - Graphing Calculator

Quick-Start xvii 4. Press 4 (VAR) bw to assign an initial value of 1 to coefficient A. 1 2 3456 5. Press 2 (RANG) bwdwbw to specify the range and increment of change in coefficient A. 6. Press J. 7. Press 6(DYNA) to start Dynamic ...

[Page 20] Casio FX-9750GPLUS - Graphing Calculator

Quick-Start xviii TABLE FUNCTION The Table Function makes it possible to generate a table of solutions as different values are assigned to the variables of a function. Example: To create a number table for the following function Y = X (X+1) (X–2) 1...

[Page 21] Casio FX-9750GPLUS - Graphing Calculator

•Your calculator is made up of precision components. Never try to take it apart. •Avoid dropping your calculator and subjecting it to strong impact. •Do not store the calculator or leave it in areas exposed to high temperatures or humidity, or ...

[Page 22] Casio FX-9750GPLUS - Graphing Calculator

xx Be sure to keep physical records of all important data! The large memory capacity of the unit makes it possible to store large amounts of data. You should note, however, that low battery power or incorrect replacement of the batteries that power t...

[Page 23] Casio FX-9750GPLUS - Graphing Calculator

• • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • �...

[Page 24] Casio FX-9750GPLUS - Graphing Calculator

Contents xxii Getting Acquainted — Read This First! ............................................................. 1 1. Key Markings ....................................................................................................... 2 2. Selecti...

[Page 25] Casio FX-9750GPLUS - Graphing Calculator

xxiii Contents Chapter 7 Equation Calculations ................................................................... 99 7-1 Before Beginning an Equation Calculation ................................................ 100 7-2 Linear Equations with Two to S...

[Page 26] Casio FX-9750GPLUS - Graphing Calculator

xxiv Contents Chapter 15 Table & Graph .............................................................................. 205 15-1 Before Using Table & Graph ...................................................................... 206 15-2 Storing ...

[Page 27] Casio FX-9750GPLUS - Graphing Calculator

xxv Contents 20-3 Debugging a Program ............................................................................... 358 20-4 Calculating the Number of Bytes Used by a Program ............................... 359 20-5 Secret Function ...................

[Page 28] Casio FX-9750GPLUS - Graphing Calculator

xxvi Contents Downloaded from www.Manualslib.com manuals search engine ...

[Page 29] Casio FX-9750GPLUS - Graphing Calculator

Getting Acquainted — Read This First! Getting Acquainted — Read This First! About this User’s Guide uFunction Keys and Menus •Many of the operations performed by this calculator can be executed by pressing function keys 1 through 6. The opera...

[Page 30] Casio FX-9750GPLUS - Graphing Calculator

2 1. Key Markings Many of the calculator’s keys are used to perform more than one function. The functions marked on the keyboard are color coded to help you find the one you need quickly and easily. Function Key Operation 1 log l 2 10 x !l 3 B al T...

[Page 31] Casio FX-9750GPLUS - Graphing Calculator

3 2. Selecting Icons and Entering Modes This section describes how to select an icon in the Main Menu to enter the mode you want. uTo select an icon 1. Press m to display the Main Menu. Currently selected icon 2. Use the cursor keys (d, e, f, c) to...

[Page 32] Casio FX-9750GPLUS - Graphing Calculator

4 TABLE Use this mode to store functions, to generate a numeric table of different solutions as the values assigned to variables in a function change, and to draw graphs. RECURsion Use this mode to store recursion formulas, to generate a numeric tabl...

[Page 33] Casio FX-9750GPLUS - Graphing Calculator

5 Selecting Icons and Entering Modes 2 3. Use the f and c cursor keys to move the highlighting to the item whose setting you want to change. 4. Press the function key (1 to 6) that is marked with the setting you want to make. 5. After you are finishe...

[Page 34] Casio FX-9750GPLUS - Graphing Calculator

6 uCoord (graph pointer coordinate display) •{On}/{Off} ... {display on}/{display off} uGrid (graph gridline display) •{On}/{Off} ... {display on}/{display off} uAxes (graph axis display) •{On}/{Off} ... {display on}/{display off} uLabel (graph...

[Page 35] Casio FX-9750GPLUS - Graphing Calculator

7 uList File (list file specification) •{File 1} to {File 6} ... {specification of which list file to display while using the List function} uDual Screen (Dual Screen Mode status) The Dual Screen Mode settings you can make depends on whether you pr...

[Page 36] Casio FX-9750GPLUS - Graphing Calculator

8 2 Selecting Icons and Entering Modes 3. Display k About the Display Screen This calculator uses two types of display: a text display and a graphic display. The text display can show 21 columns and eight lines of characters, with the bottom line use...

[Page 37] Casio FX-9750GPLUS - Graphing Calculator

9 • Direct Command Execution Example: Selecting executes the DRAW command. k Exponential Display The calculator normally displays values up to 10 digits long. Values that exceed this limit are automatically converted to and displayed in exponent...

[Page 38] Casio FX-9750GPLUS - Graphing Calculator

10 k Special Display Formats This calculator uses special display formats to indicate fractions, hexadecimal values, and sexagesimal values. uFractions ..... Indicates: 456 uHexadecimal Values ..... Indicates: ABCDEF12(16), which equals –1412567278...

[Page 39] Casio FX-9750GPLUS - Graphing Calculator

11 4. Contrast Adjustment Adjust the contrast whenever objects on the display appear dim or difficult to see. uTo display the contrast adjustment screen Highlight the CONT icon in the Main Menu and then press w. uTo adjust the contrast Press the e cu...

[Page 40] Casio FX-9750GPLUS - Graphing Calculator

12 5. When you keep having problems… If you keep having problems when you are trying to perform operations, try the following before assuming that there is something wrong with the calculator. k Get the Calculator Back to its Original Mode Settings...

[Page 41] Casio FX-9750GPLUS - Graphing Calculator

Basic Operation 1-1 Before Starting Calculations... 1-2 Memory 1-3 Option (OPTN) Menu 1-4 Variable Data (VARS) Menu 1-5 Program (PRGM) Menu 1 Chapter Downloaded from www.Manualslib.com manuals search engine ...

[Page 42] Casio FX-9750GPLUS - Graphing Calculator

14 1-1 Before Starting Calculations... Before performing a calculation for the first time, you should use the set up screen to specify the angle unit and display format. kk kk k Setting the Angle Unit (Angle) 1. Display the set up screen and use the ...

[Page 43] Casio FX-9750GPLUS - Graphing Calculator

15 Symbol Meaning Unit E Exa 10 18 P Peta 10 15 T Tera 10 12 G Giga 10 9 MMega 10 6 kkilo 10 3 Before Starting Calculations... 1 - 1 uu uu u To specify the number of significant digits (Sci) Example To specify three significant digits 2 (Sci) 4 (3)...

[Page 44] Casio FX-9750GPLUS - Graphing Calculator

16 1 - 1 Before Starting Calculations... kk kk k Inputting Calculations When you are ready to input a calculation, first press A to clear the display. Next, input your calculation formulas exactly as they are written, from left to right, and press w ...

[Page 45] Casio FX-9750GPLUS - Graphing Calculator

17 ! Relational operator =, G , >, <, ≥, ≤ @ And (logical operator), and (bitwise operator) # Or (logical operator), or (bitwise operator), xor, xnor •When functions with the same priority are used in series, execution is per- formed fr...

[Page 46] Casio FX-9750GPLUS - Graphing Calculator

18 1 - 1 Before Starting Calculations... kk kk k Stacks The unit employs memory blocks, called stacks , for storage of low priority values and commands. There is a 10-level numeric value stack , a 26-level command stack , and a 10-level program s...

[Page 47] Casio FX-9750GPLUS - Graphing Calculator

19 kk kk k Overflow and Errors Exceeding a specified input or calculation range, or attempting an illegal input causes an error message to appear on the display. Further operation of the calculator is impossible while an error message is displayed. T...

[Page 48] Casio FX-9750GPLUS - Graphing Calculator

20 1 - 1 Before Starting Calculations... kk kk k Graphic Display and Text Display The unit uses both a graphic display and a text display. The graphic display is used for graphics, while the text display is used for calculations and instructions. The...

[Page 49] Casio FX-9750GPLUS - Graphing Calculator

21 Before Starting Calculations... 1 - 1 uu uu uTo insert a step Example To change 2.36 2 to sin2.36 2 c.dgx ddddd ![ s •When you press ![ the insert location is indicated by the symbol ‘‘t’’. The next function or value you input is ins...

[Page 50] Casio FX-9750GPLUS - Graphing Calculator

22 1-2 Memory kk kk k Variables This calculator comes with 28 variables as standard. You can use variables to store values to be used inside of calculations. Variables are identified by single- letter names, which are made up of the 26 letters of the...

[Page 51] Casio FX-9750GPLUS - Graphing Calculator

23 Memory 1 - 2 kk kk k Function Memory [OPTN]-[FMEM] Function memory is convenient for temporary storage of often-used expressions. For longer term storage, we recommend that you use the GRAPH Mode for expressions and the PRGM Mode for programs. •...

[Page 52] Casio FX-9750GPLUS - Graphing Calculator

24 uu uu uTo delete a function Example To delete the contents of function memory number 1 K6(g)6(g)3(FMEM)A 1(STO) 1(f1) •Executing the store operation while the display is blank deletes the function in the function memory you specify. uu uu uTo ...

[Page 53] Casio FX-9750GPLUS - Graphing Calculator

25 2. Press w again to display the memory status screen. 3. Use f and c to move the highlighting and view the amount of memory (in bytes) used for storage of each type of data. The following table shows all of the data types that appear on the memory...

[Page 54] Casio FX-9750GPLUS - Graphing Calculator

26 1 - 2 Memory kk kk k Clearing Memory Contents Use the following procedure to clear data stored in memory. 1. In the memory status screen, use f and c to move the highlighting to the data type you want to clear. If the data type you select in step ...

[Page 55] Casio FX-9750GPLUS - Graphing Calculator

27 1-3 Option (OPTN) Menu The option menu gives you access to scientific functions and features that are not marked on the calculator’s keyboard. The contents of the option menu differ according to the mode you are in when you press the K key. See...

[Page 56] Casio FX-9750GPLUS - Graphing Calculator

28 1-4 Variable Data (VARS) Menu To recall variable data, press J to display the variable data menu. {V-WIN}/{FACT}/{STAT}/{GRPH}/{DYNA} {TABL}/{RECR}/{EQUA}/{TVM} See the Command List at the back of this user’s guide for details on the variable da...

[Page 57] Casio FX-9750GPLUS - Graphing Calculator

29 •{xσn}/{yσn} ... population standard deviation of {x-data}/{y-data} •{ xσn-1}/{yσn-1} ... sample standard deviation of {x-data}/{y-data} •{minX}/{minY} ... minimum value of { x-data}/{y-data} •{maxX}/{maxY} ... maximum value of {x-data...

[Page 58] Casio FX-9750GPLUS - Graphing Calculator

30 kk kk k GRPH — Recalling Graph Functions Selecting {GRPH} from the VARS menu displays the graph function recall menu. •{Y}/{r} ... {rectangular coordinate or inequality function}/{polar coordinate function} •{Xt}/{Yt} ... parametric graph fu...

[Page 59] Casio FX-9750GPLUS - Graphing Calculator

31 Example To recall the contents of the numeric table for the function y = 3x 2 – 2, while the table range is Start=0 and End=6, and pitch=1 4(Reslt)w kk kk k RECR — Recalling Recursion Formula, Table Range, and Table Content Data Selecting {...

[Page 60] Casio FX-9750GPLUS - Graphing Calculator

32 • The table contents recalled by the above operation are stored automatically in Matrix Answer Memory (MatAns). •An error occurs if you perform the above operation when there is no function or recursion formula numeric table in memory. kk kk k...

[Page 61] Casio FX-9750GPLUS - Graphing Calculator

33 • The coefficients and solutions recalled by the above operation are stored automatically in Matrix Answer Memory (MatAns). • The following conditions cause an error to be generated. —When there are no coefficients input for the equation —...

[Page 62] Casio FX-9750GPLUS - Graphing Calculator

34 1-5 Program (PRGM) Menu To display the program (PRGM) menu, first enter the RUN or PRGM Mode from the Main Menu and then press ! W. The following are the selections available in the program (PRGM) menu. • {COM} … {program command menu} • {CT...

[Page 63] Casio FX-9750GPLUS - Graphing Calculator

Manual Calculations 2-1 Basic Calculations 2-2 Special Functions 2-3 Function Calculations Chapter 2 Downloaded from www.Manualslib.com manuals search engine ...

[Page 64] Casio FX-9750GPLUS - Graphing Calculator

36 2-1 Basic Calculations kk kk k Arithmetic Calculations •Enter arithmetic calculations as they are written, from left to right. •Use the - key to input a negative value. •Use the - key for subtraction •Calculations are performed internally ...

[Page 65] Casio FX-9750GPLUS - Graphing Calculator

37 Basic Calculations 2 - 1 •Number of decimal place (Fix) and significant digit (Sci) settings normally remain in effect until you change them or until your change the exponential display range (Norm) setting. Note also, however, that Sci setting...

[Page 66] Casio FX-9750GPLUS - Graphing Calculator

38 kk kk k Calculations Using Variables Example Operation Display 193.2aaAw 193.2 193.2 ÷ 23 = 8.4 aA/23w 8.4 193.2 ÷ 28 = 6.9 aA/28w 6.9 2 - 1 Basic Calculations Downloaded from www.Manualslib.com manuals search engine ...

[Page 67] Casio FX-9750GPLUS - Graphing Calculator

39 2-2 Special Functions kk kk k Answer Function The unit’s Answer Function automatically stores the last result you calculated by pressing w(unless the w key operation results in an error). The result is stored in the answer memory. uu uu uTo use ...

[Page 68] Casio FX-9750GPLUS - Graphing Calculator

40 kk kk k Using the Replay Function The Replay Function automatically stores the last calculation performed into replay memory. You can recall the contents of the replay memory by pressing d or e. If you press e, the calculation appears with the cur...

[Page 69] Casio FX-9750GPLUS - Graphing Calculator

41 kk kk k Making Corrections in the Original Calculation Example 14 ÷ 0 × 2.3 entered by mistake for 14 ÷ 10 × 2.3 Abe/a*c.dw Press d or e. Make necessary changes. d![b Execute it again. w kk kk k Using Multistatements Multistatements are for...

[Page 70] Casio FX-9750GPLUS - Graphing Calculator

42 Example 6.9 × 123 = 848.7 123 ÷ 3.2 = 38.4375 AbcdaaA!W6(g) 5(:)g.j*aA!W 5(^)aA/d.cw w •Note that the final result of a multistatement is always displayed, regardless of whether it ends with a display result command. •You cannot construct ...

[Page 71] Casio FX-9750GPLUS - Graphing Calculator

43 2-3 Function Calculations kk kk k Function Menus This calculator includes five function menus that give you access to scientific functions that are not printed on the key panel. • The contents of the function menu differ according to the mode yo...

[Page 72] Casio FX-9750GPLUS - Graphing Calculator

44 2 - 3 Function Calculations uu uu uAngle Units, Coordinate Conversion, Sexagesimal Operations (ANGL) [OPTN]-[ANGL] •{°}/{r}/{g} ... {degrees}/{radians}/{grads} for a specific input value •{° ’ ”} ... {specifies degrees (hours), minutes, ...

[Page 73] Casio FX-9750GPLUS - Graphing Calculator

45 Function Calculations 2 - 3 kk kk k Trigonometric and Inverse Trigonometric Functions •Be sure to set the angle unit before performing trigonometric function and inverse trigonometric function calculations. •Be sure to specify “Comp” for C...

[Page 74] Casio FX-9750GPLUS - Graphing Calculator

46 P.5 2 - 3 Function Calculations kk kk k Logarithmic and Exponential Functions •Be sure to specify “Comp” for Calculation/binary, octal, decimal, hexadecimal mode. Example Operation Display log 1.23 (log101.23) = 8.990511144 × 10 –2 l1.23w...

[Page 75] Casio FX-9750GPLUS - Graphing Calculator

47 kk kk k Other Functions •Be sure to specify “Comp” for Calculation/binary, octal, decimal, hexadecimal mode. Example Operation Display + = 3.65028154 !92+!95w 3.6502815425 (–3) 2 = (–3) × (–3) = 9 (-3)xw 9 –3 2 = –(3 × ...

[Page 76] Casio FX-9750GPLUS - Graphing Calculator

48 kk kk k Coordinate Conversion uu uu u Rectangular Coordinates uu uu u Polar Coordinates •With polar coordinates, θ can be calculated and displayed within a range of –180°< θ < 180° (radians and grads have same range). •Be sure ...

[Page 77] Casio FX-9750GPLUS - Graphing Calculator

49 Example To calculate the possible number of different arrangements using 4 items selected from 10 items Formula Operation Display 10P4 = 5040 10K6(g)3(PROB) 2(nPr)4w 5040 Example To calculate the possible number of different combinations of 4 ...

[Page 78] Casio FX-9750GPLUS - Graphing Calculator

50 kk kk k Engineering Notation Calculations Input engineering symbols using the engineering notation menu. •Be sure to specify “Comp” for Calculation/binary, octal, decimal, hexadecimal mode. Example Operation Display !Zccccc cccc4(Eng)J 999k ...

[Page 79] Casio FX-9750GPLUS - Graphing Calculator

51 kk kk k Logical Operators (AND, OR, NOT) [OPTN]-[LOGIC] The logical operator menu provides a selection of logical operators. •{And}/{Or}/{Not} ... {logical AND}/{logical OR}/{logical NOT} •Be sure to specify “Comp” for Calculation/binary, ...

[Page 80] Casio FX-9750GPLUS - Graphing Calculator

52 2 - 3 Function Calculations About Logical Operations •A logical operation always produces either 0 or 1 as its result. • The following table shows all of possible results that can be produced by AND and OR operations. Value or Expression A Val...

[Page 81] Casio FX-9750GPLUS - Graphing Calculator

Numerical Calculations 3-1 Before Performing a Calculation 3-2 Differential Calculations 3-3 Quadratic Differential Calculations 3-4 Integration Calculations 3-5 Maximum/Minimum Value Calculations 3-6 Summation (Σ) Calculations Chapter 3 Downloaded...

[Page 82] Casio FX-9750GPLUS - Graphing Calculator

54 3-1 Before Performing a Calculation The following describes the items that are available in the menus you use when performing Solve, differential/ quadratic differential, integration, maximum/ minimum value, and Σ calculations. When the option me...

[Page 83] Casio FX-9750GPLUS - Graphing Calculator

55 3-2 Differential Calculations [OPTN]-[CALC]-[d/dx] To perform differential calculations, first display the function analysis menu, and then input the values shown in the formula below. 2(d/dx) f(x),a,A x) The differentiation for this type of calcu...

[Page 84] Casio FX-9750GPLUS - Graphing Calculator

56 This average, which is called the central difference , is expressed as: uu uu uTo perform a differential calculation Example To determine the derivative at point x = 3 for the function y = x 3 + 4x 2 + x – 6, when the increase/decrease of x...

[Page 85] Casio FX-9750GPLUS - Graphing Calculator

57 kk kk k Applications of Differential Calculations •Differentials can be added, subtracted, multiplied or divided with each other. Therefore: •Differential results can be used in addition, subtraction, multiplication, and division, and in funct...

[Page 86] Casio FX-9750GPLUS - Graphing Calculator

58 3-3 Quadratic Differential Calculations After displaying the function analysis menu, you can input quadratic differentials using either of the two following formats. 3(d 2 /dx 2 ) f(x),a,n) Quadratic differential calculations produce an approximat...

[Page 87] Casio FX-9750GPLUS - Graphing Calculator

59 Input 3 as point a, which is the differential coefficient point. d, Input 6 as n, which is final boundary. g) w •In the function f(x), only X can be used as a variable in expressions. Other variables (A through Z, r, θ ) are treated as consta...

[Page 88] Casio FX-9750GPLUS - Graphing Calculator

60 3-4 Integration Calculations [OPTN]-[CALC]-[ ∫ dx] To perform integration calculations, first display the function analysis menu and then input the values in one of the formulas shown below. Gauss-Kronrod Rule 4(∫dx) f(x) , a , b , tol ) ∫ (...

[Page 89] Casio FX-9750GPLUS - Graphing Calculator

61 uu uu uTo perform an integration calculation Example To perform the integration calculation for the function shown below, with a tolerance of “tol” = 1 E - 4 ∫ 1 5 (2x 2 + 3x + 4) dx Input the function f (x). AK4(CALC)4(∫dx)cvx+dv+e, I...

[Page 90] Casio FX-9750GPLUS - Graphing Calculator

62 •Pressing A during calculation of an integral (while the cursor is not shown on the display) interrupts the calculation. •Always use radians (Rad Mode) as the angle unit when performing trigono- metric integrations. • Factors such as the typ...

[Page 91] Casio FX-9750GPLUS - Graphing Calculator

63 [OPTN]-[CALC]-[FMin]/[FMax] 3-5 Maximum/Minimum Value Calculations After displaying the function analysis menu, you can input maximum/minimum calculations using the formats below, and solve for the maximum and minimum of a function within interval...

[Page 92] Casio FX-9750GPLUS - Graphing Calculator

64 Example 2 To determine the maximum value for the interval defined by start point a = 0 and end point b = 3, with a precision of n = 6 for the function y = –x 2 + 2x + 2 Input f(x). AK4(CALC)6(g)2(FMax) -vx+cv+c, Input the interval a = 0, b = 3...

[Page 93] Casio FX-9750GPLUS - Graphing Calculator

65 6 Σ (k 2 – 3k + 5) k = 2 3-6 Summation (Σ) Calculations [OPTN]-[CALC]-[Σ(] To perform Σ calculations, first display the function analysis menu, and then input the values shown in the formula below. 6(g)3(Σ() ak , k , α , β , n ) Σ ...

[Page 94] Casio FX-9750GPLUS - Graphing Calculator

66 3 - 6 Summation (Σ) Calculations •You can use only one variable in the function for input sequence ak. •Input integers only for the initial term of sequence ak and last term of sequence ak . •Input of n and the closing parentheses can be ...

[Page 95] Casio FX-9750GPLUS - Graphing Calculator

Complex Numbers This calculator is capable of performing the following operations using complex numbers. •Arithmetic operations (addition, subtraction, multiplication, division) •Calculation of the reciprocal, square root, and square of a complex...

[Page 96] Casio FX-9750GPLUS - Graphing Calculator

68 4-1 Before Beginning a Complex Number Calculation Before beginning a complex number calculation, press K3 (CPLX) to display the complex number calculation menu. •{i} ... {imaginary unit i input} •{Abs}/{Arg} ... obtains {absolute value}/{argum...

[Page 97] Casio FX-9750GPLUS - Graphing Calculator

69 4-2 Performing Complex Number Calculations The following examples show how to perform each of the complex number calculations available with this calculator. kk kk k Arithmetic Operations [OPTN]-[CPLX]-[i] Arithmetic operations are the same as tho...

[Page 98] Casio FX-9750GPLUS - Graphing Calculator

70 AK3(CPLX)2(Abs) (d+e1(i))w (Calculation of absolute value) AK3(CPLX)3(Arg) (d+e1(i))w (Calculation of argument) • The result of the argument calculation differs in accordance with the current angle unit setting (degrees, radians, grads). kk kk k...

[Page 99] Casio FX-9750GPLUS - Graphing Calculator

71 Performing Complex Number Calculations 4 - 2 kk kk k Complex Number Calculation Precautions • The input/output range of complex numbers is normally 10 digits for the mantissa and two digits for the exponent. •When a complex number has more tha...

[Page 100] Casio FX-9750GPLUS - Graphing Calculator

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