(a) 6. The population (P) of Calcutonians (2000 of which currently reside in this blissful state of Calcutown) reproduce at a rate that is proportional to the Population at time t. If the reproduction rate is 17%, (your constant k), write the DE and use the method of separation of variables to show all steps to solve for the population function P(t). (b) Show all steps to determine the number of years that it takes for the population of Calcutown to double to 4000 blissful residents. Write a sentence to summarize your results.

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