TEST OF MATHEMATICS FOR S5 COMBINATIONS

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1. The solution of

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2. Evaluate

-1

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3. Find the fundamental period of the function

P = 2π

P = 4π

P = 5π

P = 10π

Other:

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4. evaluate:

π /3

-π /2

-π /3

Other:

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5. A body oscillates with simple harmonic motion according to the equation x=6cos(3πt+π/3) (x in metre) at time t=2s, what are; a) the displacement b) the velocity c) the acceleration d) the phase of motion e) the frequency f) the period of the motion; you can choose more than one true answers

a) 3m

b)-9πm/s

c) 27πm

d) (3πt+π/3)

e) 3/2Hz

f) 2/3

6. Study the parity of the following functions and state whether it is either even or odd or otherwise a) f(x)=cos+sinx b) f(x)=(x+sinx)/(x^2); you can choose more than one true answers

a) even

b) odd

a) neither even nor odd

b) even

a) odd

b) neither even nor odd

7) The solution of equation x^3-3x+3=0 to three decimal places by Newton-Raphson method is:

-2

-2.104

2.104

Clear selection

8) Use the Newton-Raphson to solve; you can choose more than one true answers

a) 1.4973

b) 3

a) 1.4

3.332

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