Chapter 4.2, Problem 28E

Bird Population The population of a certain species of bird is limited by the type of habitat required for nesting. The population behaves according to the logistic growth model

$n(t)=\frac{5600}{0.5+27.5e^{-0.044t}}$

where r is measured in years.

1. (a) Find the initial bird population.
2. (b) Draw a graph of the function n(t).
3. (c) What size does the population approach as time goes on?