Q1 of 78 Page 13

Mark the correct alternative in the following:

If at what rate in cubic units is V increasing when


CORRECTION: taking instead of


⇒


Substituting values of r=10 and , we get



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30

The length x of a rectangle is decreasing at the rate of 5 cm/minute, and the width y is increasing at the rate of 4cm/minute. When x = 8 cm and y = 6 cm, find the rates of change of (i) the perimeter (ii) the area of the rectangle.

 31

A circular disc of radius 3 cm is being heated. Due to expansion, its radius increases at the rate of 0.05 cm/sec. Find the rate at which its area is increasing when the radius is 3.2 cm.

 2

Mark the correct alternative in the following:

Side of an equilateral triangle expands at the rate of 2 cm/sec. The rate of increase of its area when each side is 10 cm is


 3

Mark the correct alternative in the following:

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