A spherical balloon is being inflated and the radius of the balloon is increasing at a rate of 2 cm/s. (a) Express the radius r of the balloon as a function of the time t (in seconds). (b) If V is the volume of the balloon as a function of the radius, find V or and interpret it.

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A:

Q: amount

A: Please refer to the image below

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A: NOTE: As method is not specified, question is solved for Riemann left end point approximation.

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A: Given function fx=x2 To find rate of change of area.

Q: The function f(x) = x2 describes the area of a square, f(x), in square inches, whose sides each…

A: Given function fx=x2 to find rate of change of area.

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A: topic - average rate of change of function over interval

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A: a. From the definition we have the following, Simplify further,

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A: Follow the procedure given below.

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A:

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A: We have to find

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A: Answer is mentioned below

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A: Solution:

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A: