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Question: just show the work no need to explain thx...

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15. (5 points) Suppose the growth of the population P of trout in Lake Newton obeys the differential equation dP = .1r(1-2000 dt 0 is 3000 Suppose further that the population of trout at time t (a) What is P(0)? (b) what will happen to the population as t → oo?just show the work, no need to explain. thx

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