The agency in Exercise 85 studies a second endangered species but fails to receive funding to develop a policy of protection. The population of the species is modeled by

a. At what rate is the population changing at time t? When is the population increasing? When is it decreasing?

b. When is the rate of change of the population increasing? When is it decreasing? Interpret your results.

c. What happens to the population in the long run (as t → + ∞)?

Data from Exercises 85

An international agency determines that the number of individuals of an endangered species that remain in the wild t years after a protection policy is instituted may be modeled by

Transcribed Image Text:

N(t) = 30+ 500e -0.3t 1 + 5e-0.3t