The size P of a certain insect population at time t (in days) obeys the function P(t) = 700e^0.04t

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

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

(c) Graph the function using a graphing utility.

(d) What is the population after 10 days?
(e) When will the insect population reach 1190?

(f) When will the insect population double?​