A floating balloon: A balloon is floating upward, and its height in feet above the ground t seconds after it is released is given by a function S = S(t). Suppose you know that S(3) = 13 and that dS dt...

A floating balloon: A balloon is floating upward, and its height in feet above the ground t seconds after it is released is given by a function S = S(t).

Suppose you know that S(3) = 13 and that dS dt is 4 when t is 3. Estimate the height of the balloon 5 seconds after it is released. Explain how you got your answer. (See Figure 6.43.)