User manual CASIO FX-991ES PLUS C

[. . . ] E fx-115ES PLUS fx-991ES PLUS C 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 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . [. . . ] Actual results will differ. ) 17 To determine the number of permutations and combinations possible when selecting four people from a group of 10 Permutations: Combinations: 10 1*(nPr) 4 = 10 1/(nCr) 4 = 5040 210 18 To perform the following calculations when Fix 3 is selected for the number of display digits: 10 ÷ 3 × 3 and Rnd(10 ÷ 3) × 3 b 1N(SETUP)6(Fix)3 10 / 3 * 3 = 10(Rnd) 10 / 3 )* 3 = 10. 000 9. 999 E-24 19 To determine the greatest common divisor of 28 and 35 S*(GCD) 28 1)(, ) 35 )= To determine the least common multiple of 9 and 15 S/(LCM) 9 1)(, ) 15 )= 20 To extract the integer part of -3. 5 S+(Int)- 3. 5 )= 21 To determine the largest integer that does not exceed -3. 5 S-(Intg)- 3. 5 )= 7 45 -3 -4 Complex Number Calculations (CMPLX) To perform complex number calculations, first press N2(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 W(i))/( 2 W(i))= 3­i 2 45 = ' + ' i Bv (Complex number format: a + bi) 2 2 2 1-() 45 = '+'i 22 ' + ' i = 2 45 Bv (Complex number format: r ) 2 2 !2 eW(i)= 245 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 180°. · Display of the calculation result while Linear Display of ­180° is selected will show a and bi (or r and ) on separate lines. CMPLX Mode Calculation Examples (1 ­ i)­1 = 1 + 1 i B (Complex number format: a + bi) 22 ( 1 -W(i))E= (1 + i)2 + (1 ­ i)2 = 0 B ( 1 +W(i))w+( 1 -W(i))w= 1+1i 22 0 To obtain the conjugate complex number of 2 + 3i (Complex number format: a + bi) 12(CMPLX)2(Conjg) 2 + 3 W(i))= 2­3i To obtain the absolute value and argument of 1 + i Bv Absolute Value: 1w(Abs) 1 +W(i)= ' 2 Argument: 12(CMPLX)1(arg)1+W(i))= 45 E-25 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. 2 eW(i)12(CMPLX)3('r )= 2 1-() 45 12(CMPLX)4('a+bi)= 245 '+'i 22 Using CALC CALC lets you save calculation expressions that contain variables, which you can then recall and execute in the COMP Mode (N1) and the CMPLX Mode (N2). 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 (Use Ss(=) to input the equals sign of the equality. ) To store 3A + B and then substitute the following values to perform the calculation: (A, B) = (5, 10), (7, 20) Math 3 S-(A)+Se(B) Math s Prompts for input of a value for A Current value of A Math 5 = 10 = Math s (or =) Math 7 = 20 = To exit CALC: A E-26 To store A + Bi and then determine ' + i, 1 + ' i using polar 3 3 coordinates (r ) v N2(CMPLX) S-(A)+Se(B)W(i) 12(CMPLX)3('r ) s!3 )= To exit CALC: A Note: During the time from when you press s until you exit CALC by pressing A, you should use Linear Display input procedures for input. CMPLX Math Using SOLVE SOLVE uses Newton's Law to approximate the solution of equations. 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. · 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, ÷R. To solve y = ax2 + b for x when y = 0, a = 1, and b = ­2 Math Sf(Y)Ss(=)S-(A) S)(X)w+Se(B) Math 1s(SOLVE) Prompts for input of a value for Y Current value of Y Math 0 = 1 =- 2 = Current value of X E-27 Math Input an initial value for X (Here, input 1): 1= Solution screen To exit SOLVE: A Note: During the time from when you press 1s(SOLVE) until you exit SOLVE by pressing A, 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. · SOLVE uses Newton's Law, so even if there are multiple solutions, only one of them will be returned. · Due to limitations in Newton's Law, solutions tend to be difficult to obtain for equations like the following: y = sin(x), y = ex, y = ' . [. . . ] Note that you should make separate copies of important data before performing these steps. Check the calculation expression to make sure that it does not contain any errors. Make sure that you are using the correct mode for the type of calculation you are trying to perform. This will cause the calculator to perform a routine that checks whether calculation functions are operating correctly. [. . . ]