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

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The surface area S (in square meters) of a hot-air balloon is given by S(r) = 4xr 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(1) =- . 12 0, find the surface area S of the balloon as a function of the time t. S(1) = (Type an expression using t as the variable. Type an exact answer, using it as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.)

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