1. The size P of a certain insect population at time t (in days) obeys the function P(t)=400e0.07t.

(a) Determine the number of insects at t=0 days.

(b) What is the growth rate of the insect population?

(c) What is the population after 10 days?

(d) When will the insect population reach 480?

(e) When will the insect population double?

2. The size P of a certain insect population at time t (in days) obeys the function P(t)=200e0.09t.

(a) Determine the number of insects at t=0 days.

(b) What is the growth rate of the insect population?

(c) What is the population after 10 days?

(d) When will the insect population reach 260?

(e) When will the insect population double?