Chapter 11.2, Problem 61E

(a)

To determine

To calculate: The value of expression $P^{\prime }\left(45\right)$ and describe it. Where,

$P\left(t\right)=\frac{250}{1+1.91e^{-0.0280t}}$

(b)

To determine

To calculate: The rate at which this population predicted to increase in 2040. Where function is,

$P\left(t\right)=\frac{250}{1+1.91e^{-0.0280t}}$

(c)

To determine

The significance of rate at which this population is increasing after 2040.