Population growth Consider the following population functions.a. Find the instantaneous gr...

Population growth Consider the following population functions.

a. Find the instantaneous growth rate of the population, for t ≥ 0.

b. What is the instantaneous growth rate at t = 5?

c. Estimate the time when the instantaneous growth rate is the greatest.

d. Evaluate and interpret .

e. Use a graphing utility to graph the population and its growth rate.