Chapter 11, Problem 68RE

(a)

To determine

To calculate: The value of $L^{\prime }\left(t\right)$ and determine the rate at which the sea level raised in the year $2000$, $t=100$, if the graph of the function $L\left(t\right)=\frac{418}{1+17.2e^{-0.041t}}$, $0\le t\le 125$ represents the sea level is,

(b)

To determine

To calculate: The value of $\underset{t\to +\infty }{\lim }{L}^{\prime }\left(t\right)$ and interpret the answer if, the graph of the function $L\left(t\right)=\frac{418}{1+17.2e^{-0.041t}}$, $0\le t\le 125$ represents the sea level is,