Chapter 10.1, Problem 51E

Funding for NASA up to 1966 The percentage of the U.S. federal budget allocated to NASA from 1958 to 1966 can be modeled by

$p\left(t\right)=\frac{4.7}{1+139e^{-t}}\text{ percentage points}$

(t is time in years since 1958).

a. Numerically estimate $\underset{x\to +\infty }{\lim }p\left(t\right),$ and interpret the answer. [HINT: See Example 6.]

b. How does your answer to part (a) compare with actual current funding for NASA?