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A spherical balloon is being inflated at the rate of 35 cc/min. The rate of increase of the surface area of the balloon when its diameter is 14 cm is

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Important Questions on Applications of Derivatives

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A spherical balloon is filled with 4500π cubic metres of helium gas. If a leak in the balloon causes the gas to escape at the rate of 72π cubic metres per minute, then the rate (in metres per minute) at which the radius of the balloon decreases 49 minutes after the leakage begun is
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The rate of change of volume of a sphere with respect to its surface area when the radius is 4 cm is
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The weight W of a certain stock of fish is given by W=nw, where n is the size of stock and w is the average weight of a fish. If n and w change with time t as n=2t2+3 and w=t2-t+2, then the rate of change of W with respect to t at t=1 is

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The point on the curve 6y=x3+2 at which y-co-ordinate is changing 8 times as fast as x-co-ordinate is ____________