Chapter 5.8, Problem 26AYU

(a)

To determine

The carrying capacity of the environment, where the environmentalists expect the population to grow according to the model $P\left(t\right)=\frac{500}{1+83.33e^{-0.162t}}$, $t$ is measured in years.

(b)

To determine

The growth rate of the bald eagle, where the environmentalists expect the population to grow according to the model $P\left(t\right)=\frac{500}{1+83.33e^{-0.162t}}$, $t$ is measured in years.

(c)

To determine

The population of the bald eagle after $3$ years, where the environmentalists expect the population to grow according to the model $P\left(t\right)=\frac{500}{1+83.33e^{-0.162t}}$, $t$ is measured in years.

(d)

To determine

The time in years to reach the population of bald eagles to $300$, where the environmentalists expect the population to grow according to the model $P\left(t\right)=\frac{500}{1+83.33e^{-0.162t}}$, $t$ is measured in years.

(e)

To determine

The time in years to reach the population of bald eagles to one-half of the carrying capacity, where the environmentalists expect the population to grow according to the model $P\left(t\right)=\frac{500}{1+83.33e^{-0.162t}}$, $t$ is measured in years.