t2 A population grows at a rate P'(t) = 300t e [ 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 nd the size of the population after 6 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.)