User manual CASIO FX-991ES PLUS

[. . . ] E fx-570ES PLUS fx-991ES PLUS User's Guide CASIO Worldwide Education Website http://edu. casio. com CASIO EDUCATIONAL FORUM http://edu. casio. com/forum/ Contents Important Information . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Sample Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Initializing the Calculator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Safety Precautions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . [. . . ] = 40320 13 |2 ­ 7| 2 = 10 (Abs) 2 (Abs) 2 7 7 2 2 2 5 3 (, ) 45 (x!) X=1, Y=1 40320 10 10 459 48 117 14 To obtain three random three-digit integers 1000 (Ran#) (Results shown here are for illustrative purposes only. Actual results will differ. ) E-17 15 To generate random integers in the range of 1 to 6 (RanInt) 1 (, ) 6 2 6 1 (Results shown here are for illustrative purposes only. Actual results will differ. ) 16 To determine the number of permutations and combinations possible when selecting four people from a group of 10 Permutations: Combinations: 10 10 (nPr) 4 (nCr) 4 5040 210 17 To perform the following calculations when Fix 3 is selected for the number of display digits: 10 ÷ 3 3 and Rnd(10 ÷ 3) 3 (SETUP) (Fix) (Rnd) 10 10 3 3 3 3 10. 000 9. 999 Complex Number Calculations (CMPLX) To perform complex number calculations, first press (CMPLX) to enter the CMPLX Mode. You can use either rectangular coordinates (a+bi) or polar coordinates (r ) to input complex numbers. Complex number calculation results are displayed in accordance with the complex number format setting on the setup menu. (2 + 6i) ÷ (2i) = 3 ­ i (Complex number format: a + bi) 2 6 (i) 2 (i) 2 45 = ' + ' i 2 2 3­i (Complex number format: a + bi) 2 ( ) 45 '+'i 22 (Complex number format: r ) 2 45 2 (i) ' + 'i = 2 2 2 45 2 Note: · If you are planning to perform input and display of the calculation result in polar coordinate format, specify the angle unit before starting the calculation. · The value of the calculation result is displayed in the range of ­180° 180°. · Display of the calculation result while Linear Display is selected will show a and bi (or r and ) on separate lines. CMPLX Mode Calculation Examples (1 ­ i)­1 = 1 + 1 i 22 (1 + i)2 + (1 ­ i)2 = 0 1 (i) (Complex number format: a + bi) 1 (i) 1+1i 22 0 1 (i) E-18 To obtain the conjugate complex number of 2 + 3i (Complex number format: a + bi) (CMPLX) (Conjg) 2 3 (i) To obtain the absolute value and argument of 1 + i Absolute Value: (Abs) 1 (i) Argument: (CMPLX) (arg)1 (i) 2­3i ' 2 45 Using a Command to Specify the Calculation Result Format Either of two special commands ( r or a+bi) can be input at the end of a calculation to specify the display format of the calculation results. The command overrides the calculator's complex number format setting. ' + ' i = 2 45, 2 2 2 2 (i) 2 ( ) 45 45 = ' + ' i 2 2 (CMPLX) ( r ) (CMPLX) ( a+bi) 2 2 45 '+'i 22 Using CALC CALC lets you save calculation expressions that contain variables, which you can then recall and execute in the COMP Mode ( ) and the CMPLX Mode ( ). The following describes the types of expressions you can save with CALC. · Expressions: 2X + 3Y, 2AX + 3BY + C, A + Bi · Multi-statements: X + Y : X (X + Y) · Equalities with a single variable on the left and an expression including variables on the right: A = B + C, Y = X2 + X + 3 (=) to input the equals sign of the equality. ) (Use To store 3A + B and then substitute the following values to perform the calculation: (A, B) = (5, 10), (7, 20) 3 (A) (B) Math Prompts for input of a value for A Current value of A 5 10 (or ) E-19 7 20 To exit CALC: To store A + Bi and then determine ' + i, 1 + ' i using polar 3 3 coordinates (r ) (CMPLX) (B) (i) ( r ) 1 3 CMPLX Math (A) (CMPLX) 3 (or )1 To exit CALC: Note: During the time from when you press until you exit CALC by pressing , you should use Linear Display input procedures for input. Using SOLVE SOLVE uses Newton's Law to approximate the solution of equations. Note that SOLVE can be used in the COMP Mode ( ) only. The following describes the types of equations whose solutions can be obtained using SOLVE. · Equations that include variable X: X2 + 2X ­ 2, Y = X + 5, X = sin(M), X +3=B+C SOLVE solves for X. An expression like X2 + 2X ­ 2 is treated as X2 + 2X ­ 2 = 0. · Equations input using the following syntax: {equation}, {solution variable} SOLVE solves for Y, for example, when an equation is input as: Y = X + 5, Y Important: · If an equation contains input functions that include an open parenthesis (such as sin and log), do not omit the closing parenthesis. · The following functions are not allowed inside of an equation: , d/dx, , Pol, Rec. To solve y = ax2 + b for x when y = 0, a = 1, and b = ­2 (Y) (X) (=) (A) (B) Math (SOLVE) Prompts for input of a value for Y Current value of Y E-20 Math 0 1 2 Current value of X Input an initial value for X (Here, input 1): 1 Solution screen To exit SOLVE: Note: During the time from when you press (SOLVE) until you exit SOLVE by pressing , you should use Linear Display input procedures for input. Important: · Depending on what you input for the initial value for X (solution variable), SOLVE may not be able to obtain solutions. If this happens, try changing the initial value so they are closer to the solution. · SOLVE may not be able to determine the correct solution, even when one exists. [. . . ] If the calculator discovers any abnormality, it automatically initializes the calculation mode and clears memory contents. E-41 For details about initialized settings, see "Configuring the Calculator Setup". Initialize all modes and settings by performing the following operation: (CLR) (Setup) (Yes). Replacing the Battery A low battery is indicated by a dim display, even if contrast is adjusted, or by failure of figures to appear on the display immediately after you turn on the calculator. If this happens, replace the battery with a new one. Important: Removing the battery will cause all of the calculator's memory contents to be deleted. [. . . ]