In 4851 the functions r = f(t) and V = g(r) givethe radius and the volume of a

Chapter 1, Problem 49

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In 4851 the functions r = f(t) and V = g(r) givethe radius and the volume of a commercial hot air balloon beinginflated for testing. The variable t is in minutes, r is infeet, and V is in cubic feet. The inflation begins at t = 0. Ineach case, give a mathematical expression that represents thegiven statement.The volume of the balloon if its radius were twice asbig.

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