Tamil Nadu (English Medium) Plus 2 Biology Science Study Materials, Online Learning, Question Papers, Classnotes, Practice Test, MCQ | Smartindia Educational Program : www.smartindia.net.in

If V=,at what rate in cubic unit S in V increasing , where r =10 and =0.01 ?

(A)

(B)

(C)

(D)

Question-2

If the length of the diagonal of a square is increasing at the rate of 0.1 cm/sec. What is the rate of increase of its area when the side is 15/√2 cm ?

(A)

1.5

(B)

3

(C)

3√2

(D)

0.15

Question-3

The distance x meters described by a car in time t seconds is given by x = 3 t^{2 }- 2 t^{2 }+ 4 t - 1. Determine the velocity when t = 0

(A)

4

(B)

5

(C)

6

(D)

7

Question-4

For what values of x, the rate of increase of x^{3} -5x^{2} +5x+6 is twice the rate of increase of x ?

(A)

1, 7/3

(B)

3, 1/3

(C)

3, 7/3

(D)

1/3, 7/3

Question-5

The value of

(A)

2

(B)

-2

(C)

-1

(D)

1

Question-6

What is the surface area of a sphere when the volume is increasing at the same rate as its radius?

(A)

1

(B)

1/2λ

(C)

4λ

(D)

Question-7

The point on the curve y =2 x^{2} - 6 x - 4 at which the tangent is parallel to the x - axis is

(A)

(B)

(C)

(D)

Question-8

If the length of the diagonal of a square is increasing at the rate of 0.2 cm/sec,then the rate of increase of its area when the side is is

(A)

3cm^{2}/sec

(B)

(C)

(D)

Question-9

For the curve x = t^{2}-1, y = t^{2 }- t, the tangent is perpendicular to x - axis when

(A)

t = 0

(B)

t = l

(C)

(D)

Question-10

The radius of a sphere is changing at the rate of 0.1 cm/sec. The rate of change of its surface area when the radius is 200 cm is

(A)

(B)

(C)

(D)

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