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QUESTION

He 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)

He 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)= 3 4 t4, t≥0, find the surface area S of the balloon as a function of the time t.

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