A population grows at a rate P'(t) = 300te^(-t^2/8), where P(t) is the population after t months.
a. Find a formula for the population size after t months, given that the population is 4000 at t = 0.
b. Use the answer from part a to find the size of the population after 2 months.
a. Find a formula for the population size after t months, given that the population is 4000 at t = 0.
P(t) =
(Type an exact answer in terms of e.)