Casio fx-991MS manual

fx-570MS fx-991MS CA 310030-001V08 User’s Guide 2 (Additional Functions) http://world.casio.com/edu_e/ E[...]

CASIO ELECTRONICS CO., LTD . Unit 6, 1000 North Circular Road, London NW2 7JD, U.K. Please keep y our manual and all information handy for future reference . Important![...]

E-1 Contents Before getting started... .......................... 3 k Modes .................................................................... 3 Mathematical Expression Calculations and Editing Functions ............................ 4 k Replay Copy .......................................................... 4 k CALC Memory ........................[...]

E-2 V ector Calculations ............................... 18 k Creating a V ector ................................................. 19 k Editing V ector Elements ....................................... 19 k Adding and Subtracting V ectors .......................... 19 k Calculating the Scalar Product of a V ector .......... 20 k Calculating the Inne[...]

E-3 Befor e getting star ted... k Modes Before starting a calculation, you must first enter the correct mode as indicated in the table below . • The following table shows the modes and required operations for the fx-570MS and fx-991MS. fx-570MS and fx-991MS Modes • Pressing the F key more than three times displays additional setup screens. Setu[...]

E-4 • Mode indicators appear in the upper part of the display , except for the BASE indicators, which appear in the exponent part of the display . • Engineering symbols are automatically turned off while the calculator is the BASE Mode. •Y ou cannot make changes to the angle unit or other display format (Disp) settings while the calculator is[...]

E-5 COMP CMPLX about using multi-statements, see “Multi-statements” in the separate “User’s Guide.” • Only the expressions in replay memory starting from the currently displayed expression and continuing to the last expression are copied. Anything before the displayed expression is not copied. k CALC Memory • CALC memory lets you temp[...]

E-6 COMP 1 2 B  AC – DC 2 p 2 p u p 1 - p k , R 1 2 T - p h - p k K A I (B?) 14 = (A?) ] (C?) 2 = (D?) 9 l 8 = [ [ (A?) A I •S ince the SOL VE function uses Newton’s Method, cer- tain initial values (assumed values) can make it impos- sible to obtain solutions. In this case, try inputting an- other value that you assume to be near the so[...]

E-7 To input this symbol: Perform this key operation: Unit k (kilo) A k 10 3 M (Mega) A M 10 6 G (Giga) A g 10 9 T (T era) A t 10 12 m (milli) A m 10 –3 µ (micro) A N 10 –6 n (nano) A n 10 –9 p (pico) A p 10 –12 f (femto) A f 10 –15 1 Disp •P ress 1 . On the engineering symbol setting screen that appears, press the number key ( 1 or 2 [...]

E-8 CMPLX A P 0.9 J 900. 9 ⫼ 1 m Complex Number Calculations Use the F key to enter the CMPLX Mode when you want to perform calculations that include complex numbers. CMPLX ........................................................... F 2 • The current angle unit setting (Deg, Rad, Gra) af fects CMPLX Mode calculations. Y ou can store an expres- [...]

E-9 Imaginary axis Real axis k Absolute V alue and Argument Calculation Supposing the imaginary number expressed by the rectangular form z = a + bi is represented as a point in the Gaussian plane, you can determine the absolute value ( r ) and argument ( ␪ ) of the complex number . The polar form is r ⬔ ␪ . • Example 1: To determine the abs[...]

E-10 B ASE •Y ou select rectangular form ( a + bi ) or polar form ( r ⬔ ␪ ) for display of complex number calculation results. F ... 1 (Disp) r 1 ( a + bi ): Rectangular form 2 ( r ⬔ ␪ ): Polar form (indicated by “ r ⬔ ␪ ” on the display) k Conjugate of a Complex Number For any complex number z where z = a + bi , its conjugate ( z[...]

E-11 •Y ou can use the following logical operators between values in Base- n calculations: and (logical product), or (logical sum), xor (exclusive or), xnor (exclusive nor), Not (bitwise complement), and Neg (negation). • The following are the allowable ranges for each of the available number systems. Binary 1000000000 ⬉ x ⬉ 11 11111 111 0 [...]

E-12 1 2 3 4 P ( Q ( R ( → t SD REG SD • Example 4: To c onvert the value 22 10 to its binary , oc- tal, and hexadecimal equivalents. (101 10 2 , 26 8 , 16 16 ) Binary mode: t b 0. b l l l 1 (d) 22 = 10110. b Octal mode: o 26. o Hexadecimal mode: h 16. H • Example 5: To convert the value 513 10 to its binary equivalent. Binary mode: t b 0. b [...]

E-13 COMP Differ ential Calculations The procedure described below obtains the derivative of a function. Use the F key to enter the COMP Mode when you want to perform a calculation involving differentials. COMP ............................................................ F 1 • Three inputs are required for the differential expression: the functio[...]

E-14 COMP •Y ou can omit input of ∆ x , if you want. The calculator automatically substitutes an appropriate value for ∆ x if you do not input one. •D iscontinuous points and extreme changes in the value of x can cause inaccurate results and errors. • Select Rad (Radian) for the angle unit setting when performing trigonometric function di[...]

E-15 k Creating a Matrix To create a matrix, press A j 1 (Dim), specify a matrix name (A, B, or C), and then specify the dimensions (number of rows and number of columns) of the matrix. Next, follow the prompts that appear to input values that make up the elements of the matrix. Y ou can use the cursor keys to move about the matrix in order to view[...]

E-16 k Editing the Elements of a Matrix Press A j 2 (Edit) and then specify the name (A, B, or C) of the matrix you want to edit to display a screen for editing the elements of the matrix. k Matrix Addition, Subtraction, and Multiplication Use the procedures described below to add, subtract, and multiply matrices. • Example: To multiply Matrix A [...]

E-17 (M atrix C 2  2) A j 1 (Dim) 3 (C) 2 = 2 = (E lement input) 2 = D 1 = D 5 = 3 = t (3  MatC) 3 - A j 3 (Mat) 3 (C) = k Obtaining the Determinant of a Matrix Y ou can use the procedure below to determine the determinant of a square matrix. • Example: To obtain the determinant of Matrix A = (Result: 73 ) (M atrix A 3  3) A j 1 (Dim) 1 [...]

E-18 VCT 0.4 1 0.8 1.5 0.5 1.5 0.8 0 0.6 [ ] ( ) k Inverting a Matrix Y ou can use the procedure below to invert a square matrix. • Example: To invert Matrix C = (M atrix C 3  3) A j 1 (Dim) 3 (C) 3 = 3 = (E lement input) D 3 = 6 = D 11 = 3 = D 4 = 6 = 4 = D 8 = 13 = t (MatC –1 ) A j 3 (Mat) 3 (C) a = • The above procedure results in an er[...]

E-19 Use the F key to enter the VCT Mode when you want to perform vector calculations. VCT ..................................................... F F F 3 Note that you must create one or more vector before you can perform vector calculations. •Y ou can have up to three vectors, named A, B, and C, in memory at one time. •T he results of vector ca[...]

E-20 • Example: To add V ector A = (1 – 2 3) to V ector B = (4 5 –6 ). (Result: (5 3 –3) ) ( 3-dimensional V ector A) A z 1 (Dim) 1 (A) 3 = (E lement input) 1 = D 2 = 3 = t ( 3-dimensional V ector B) A z 1 (Dim) 2 (B) 3 = (E lement input) 4 = 5 = D 6 = t (V ctA + VctB) A z 3 (Vct) 1 (A) + A z 3 (Vct) 2 (B) = • An error occurs in the above[...]

E-21 k Calculating the Outer Product of T wo V ectors Use the procedure described below to obtain the outer product for two vectors. • Example: To c a lculate the outer product of V ector A and Ve ctor B (Result: (– 3, 18, 13) ) (VctA  VctB) A z 3 (Vct) 1 (A) - A z 3 (Vct) 2 (B) = • An error occurs in the above procedure if you specify vec[...]

E-22 COMP (Ans  (AbsVctA  AbsVctB)) R A A A z 3 (Vct) 1 (A) - A A A z 3 (Vct) 2 (B) T = (cos –1 Ans) (Result: 108.4349488 ° ) A V g = (VctA  VctB) A z 3 (Vct) 1 (A) - A z 3 (Vct) 2 (B) = (AbsVctAns) A A A z 3 (Vct) 4 (Ans) = (VctAns  Ans) (Result: (– 0.666666666 0.333333333 – 0.666666666 ) ) A z 3 (Vct) 4 (Ans) g = Metric Con[...]

E-23 COMP u Conversion Pair T able Based on NIST Special Publication 81 1 (1995). Scientific Constants Use the F key to enter the COMP Mode when you want to perform calculations using scientific constants. COMP ............................................................ F 1 •A total of 40 commonly-used scientific constants, such as the speed of [...]

E-24 •S imply input the number that corresponds to the scientific constant you want to look up and it appears instantly on the display . • See the Scientific Constant T able for a complete list of available constants. • Example: To determine how much total energy a person weighing 65kg has (E = mc 2 = 5.841908662 × 10 18 ) 65 L 28 K = 65 Co [...]

E-25 To select this constant: Input this scientific constant number: molar volume of ideal gas (Vm) 26 molar gas constant (R) 27 speed of light in vacuum (C 0 )2 8 first radiation constant (C 1 )2 9 second radiation constant (C 2 )3 0 Stefan-Boltzmann constant ( σ )3 1 electric constant ( ε 0 )3 2 magnetic constant ( µ 0 )3 3 magnetic flux quant[...]

E-26 u T o replace the battery 1 Remove the five screws that hold the back cover in place and then remove the back cover . 2 Remove the old battery . 3 Wipe off the sides of new battery with a dry , soft cloth. Load it into the unit with the positive k side facing up (so you can see it). 4 Replace the back cover and secure it in place with the five[...]

E-27 5 Replace the battery cover and secure it in place with the screw . 6 Press 5 to turn power on. Auto Power Off Calculator power automatically turns of f if you do not perform any operation for about six minutes. When this happens, press 5 to turn power back on. Specifications Power Supply: fx-570MS: Single G13 T ype button battery (LR44) fx-99[...]

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