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A spherical balloon is being inflated at the rate of . The rate of increase of the surface area of the balloon when its diameter is is
(a)
(b)
(c)
(d)

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Important Questions on Applications of Derivatives
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A spherical balloon is filled with cubic metres of helium gas. If a leak in the balloon causes the gas to escape at the rate of cubic metres per minute, then the rate (in metres per minute) at which the radius of the balloon decreases 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 is

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The weight of a certain stock of fish is given by , where is the size of stock and is the average weight of a fish. If and change with time as and , then the rate of change of with respect to at is

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The point on the curve at which -co-ordinate is changing times as fast as -co-ordinate is ____________

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The approximate value of at is

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The approximate value of is

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What is approximate value of ?

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The approximate value of is (Take )
