Casio fx-570MS Manuel d'utilisateur

A supplementary readerfor CASIO fx-991MS/ fx-570MS / fx-115MS/ fx-100MSfx-95MS/ fx-82MS / fx-350MS / fx-85MSSA0204-010002B Printed in JapanWorldwid

– 7 –Square RootsArrange the following from smallest to largest. 7, 2.7, 22/3, 18/7Calculate the approximate square root values and thencompare the

– 8 –Square RootsExample 2 Example 2 OperationDetermine the length of one side of a square whose area isequal to that of a circle with a radius of 10

– 9 –Pythagorean TheoremDetermine the length of thehypotenuse of a right triangle whosesides are 9 cm and 12 cm long.(Two sides = a, b; Hypotenuse = c

– 10 –Permutation, CombinationWhat would be the maximum number ofdifferent flag signals possible using eightflags of eight different colors, when each

– 11 –Permutation, CombinationExample 2 Example 2 OperationHow many different combinationsare possible when selecting threeindividuals from a class of

– 12 –Trigonometric Function Addition TheoremDetermine the validity of: sin75°= sin (30° + 45°) = sin30° cos45° + cos30° sin45.sin Function Addition T

– 13 –Exponential FunctionDetermine the value of 64(-2/3).• When a ≠ 0: a(–p) = 1/(ap)• When a > 0: a(q/p) = p aq1. Enter the COMP Mode.F 12. De

– 14 –Logarithmic FunctionDetermine the value of log2 .• This calculator has two logarithmic functions: log whose base is e (natural logarithm)

– 15 –Example 1 Example 1 Solve the equation 2x2 – 5x + 2 = 0.*The following shows operation using the fx-100MS/115MS/570MS/991MS.1. Select the EQN Mo

– 16 –Solving Quadratic Equations and Cubic EquationsExample 2 Example 2 OperationSolve the equation x3 + 2x2 – 2x + 3 = 0 inthe range of complex numb

About this book...This book is a collection of easy-to-understand middle and high school practical problemsthat can be solved using a CASIO Scientific

– 17 –5. Display the imaginary part of the solution.A rEach press of A r toggles the display between the real part and imaginary part.6. Display the o

– 18 –Example 1 Example 1 ExplanationExplanationOperationA group of 13 weights, some weighing 50 grams and someweighing 20 grams, weigh a combined tot

– 19 –4. Display the next solution. ]The above tells us there are nine 50g weights and four 20g weights.Solving Simultaneous Equations

– 20 –ExplanationExplanationSolving Simultaneous EquationsExample 2 Example 2 170 beans are divided among three individuals named A,B, and C. The rati

– 21 –3. Display the solutions.The above shows us that A received 36 beans, B 60 beans, and C 74 beans.Solving Simultaneous Equations[ ][ ](b3?) 1 =(c

– 22 –Problems Using CALC and SOLVE(fx-100MS/fx-115MS/fx-570MS/fx-991MS only)Perform the following steps to sketch the general graph ofthe functiony =

– 23 –An object is dropped from a height of A (m) (free fall). If the speed of theobject when it reaches the ground is B (m/s) and gravitational accel

– 24 –4. Display the variable for which you want to solve, and then run SOLVE.[ [A I (It will take some time before the solution appears.)5. Now conve

– 25 –Rotate 3 – 2i 60 degrees around the origin of the complexplane, and then determine the point with a ratio of 2 withthe origin as the center.Def

– 26 –4. Multiply by 3 – 2i.- R L 3 , 2 i T =A rThe above obtains the complex number 5.196152423 + i.Problems Involving Complex Numbers, with an Emp

ContentsNegative Value Calculations ...1 ●●●●Expression Values and Calculations ...2 ●●●

– 27 –Examine the relationship between –5 + 3i and 4 + i, whichare two points on the complex plane.You can examine the relationship betweentwo points

– 28 –Statistics ProblemsExample 1 Example 1 The following are the measured 100-meter race times for five students.12.5 11.6 10.8 12.8 11.4 (Unit:

– 29 –4. Calculate the sample standard deviation of the data.t A X 3 =The above shows that the mean is 11.82 seconds, and the sample standard deviati

– 30 –Statistics ProblemsExample 2 Example 2 The following table shows the mathematics and Englishtest results for eight students.Use this data to det

– 31 –Solving Differentials, with anEmphasis on the Derivative(fx-100MS/fx-115MS/fx-570MS/fx-991MS only)Example 1 Example 1 ExplanationExplanationOper

– 32 –Solving Integrations, with anEmphasis on Definite Integrals(fx-100MS/fx-115MS/fx-570MS/fx-991MS only)Example 1 Example 1 ExplanationExplanationO

– 33 –Solving Integrations, with an Emphasis on Definite IntegralsExample 2 Example 2 ExplanationExplanationOperationDetermine the area enclosed by y

– 34 –Matrix Problems(fx-570MS/fx-991MS only)Determine X2 – Y2 for two 2 × 2 matrices named X and Ywhen X + Y = 3 23 –1 and X – Y = 1 –47 1.Matri

– 35 –•2 × 2 Matrix A is displayed as A11 A12A21 A22 .First, input 3 for A11.3 =•Next, input 2 for A12, 3 for A21, and –1 for A22.2 =3 =D 1 =•The disp

– 36 –3. Determine X and Y from X + Y and X – Y.First, use (X + Y) + (X – Y) = 2X to determine X.A j 3 (Mat)1 (A)+A j 3 (Mat) 2 (B) =1 C 2 - A j 3 (M

– 1 –Negative Value CalculationsExampleExampleOperation(–3) × (–7) = ?1. Enter the COMP Mode.F 12. Perform the calculation (–3) × (–7).D 3 - D 7 =Resu

– 37 –ExplanationExplanationExample 2 Example 2 Use a matrix to solve the simultaneous equations2x – 3y = 183x + 2y = 1{} .Placing simultaneous equa

– 38 –Vector Problems ( fx-570MS/fx-991MS only)Express c→= (12, –5) in the form c→= s a→ + tb→ when a→= (2, 1),b→= (–3, 4).Though this is a vector pro

– 39 –ExplanationExplanationExample 2 Example 2 What type of triangle would be produced by the vertices ofthe three points A = (5, 1, 2), B = (1, 0, 1

– 40 –•Next, input 1 into A2 and 2 into A3.1 =2 =• The display returns to the initial element (A1) after input of values for all elements is complete.

– 41 –4. Calculate the absolute value of AB→.The value of AB→ is stored in Ans memory by step 3, so you can use Vct Ans as shown below.A A A z 3 (V

MEMO

MEMO

– 2 –Expression Values and CalculationsExampleExampleDetermine the value of x2 – 25 y when x = 5 and y = –3.1. Enter the COMP Mode.F 12. Assign 5 to

– 3 –Proportion and Inverse ProportionFor y = 12/x, calculate the values of y for x = 1, 2,3, 4, 5, 6, to determine how the value of y changesin propo

– 4 –6. Use the ] key to scroll through the values of y for x = 2, 3, 4, 5, 6.The above reveals that the value of y decreases as the value of x increa

– 5 –Circles and SectorsDetermine, up to one decimal place, the circumference andthe area of a circle with a radius of 8 cm.(Radius = r)Circumference

– 6 –Circles and SectorsExample 2 Example 2 OperationDetermine, up to one decimal place, the length of the arcand area of a sector that has a radius o