The surface area S (in square meters) of a hot-air balloon is given by S(r) = 4r

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The surface area S (in square meters) of a hot-air balloon is given by

S(r) = 4πr2


where r is the radius of the balloon (in meters). If the radius r is increasing with time t (in seconds) according to the formula r(t) = 2/3t3, t ≥ 0, find the surface area S of the balloon as a function of the time I.

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Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

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