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*Show all work 2 #6: A population grows at a rate P'(t) = 500te't?, where PO?) is the population after t months. (a) Find a

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*Show all work

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2 #6: A population grows at a rate P'(t) = 500te't?, where PO?) is the population after t months. (a) Find a formula for the population size after 1." months, given that the population is 2000 at t = 0. (b) Use your answer from part a to find the size of the population after 3 months

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