8.ENDANGERED SPECIES An international agency studies an endangered tiger species for

Borneo. The population of the species is modeled by

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

a. At what rate is the population changing at timet? Will the population increase or

decrease?

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 (t→+∞)?