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The time of swing T of a pendulam is given by T= k where k is a constant. Determine the percentage error in the time of swing if the length of the pendulum 1 changes from 32.1 cm to 32.0 cm

(A)

0.146

(B)

0.156

(C)

-0.146

(D)

-0.156

Question-3

If u = , then is equal to

(A)

(B)

u

(C)

(D)

-u

Question-4

The differential of y = e^{tanx} is

(A)

(sec^{2}e^{tanx})dx

(B)

(secxe^{tanx})dx

(C)

(secxe^{tan2x})dx

(D)

none of these

Question-5

Find the approximate change in the volume v of a cube of side x meters caused by increasing the side by 1

(A)

-0.03 x^{3}m^{3}

(B)

0.04 x^{3}m^{3}

(C)

0,03 x^{3}m^{3}

(D)

-0.04 x^{3} m^{3}

Question-6

If y = x^{3} +2 x^{2} , find d y

(A)

(3 x^{2} +4 x) d x

(B)

(3 x^{2} + 4 x^{2} )d x

(C)

(4 x^{2} +3 x) d y

(D)

None of these

Question-7

Find the differential d y and evaluate d y for the given values of x and d x y = x^{4}- 3 x^{2}+ x - 1, x = 2, d x = 0.1

(A)

0.1

(B)

1.1

(C)

2.1

(D)

3.1

Question-8

If x = r cos θ, y = r sinθ then is equal to

(A)

sec θ

(B)

sin θ

(C)

cos θ

(D)

cosec θ

Question-9

The differential of x^{5} is

(A)

5 x^{3} d x

(B)

4 x^{4} d x

(C)

5 x^{5}d x

(D)

5 x^{4}d x

Question-10

The differential of y = is

(A)

(B)

(C)

(D)

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