Question: A population grows at a rate P(t) = 500te -t2/5 , where P1t2 is the population after t months. (a) Find a formula for the

A population grows at a rate P′(t) = 500te^-t2/5, where P1t2 is the population after t months.
(a) Find a formula for the population size after t months, given that the population is 2000 at t = 0.
(b) Use your answer from part (a) to find the population size after 3 months.

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