A given field mouse population satisfies the differential equation dp =0.4p– 470. dt %3D where p is the number of mice and t is the time in months. (a) Find the time at which the population becomes extinct if p(0) = 1165 . %3D Round your answer to two decimal places. 116.5 month(s) (c) Find the initial population po if the population is to become extinct in 1 year. Round your answer to the nearest integer. Po mice

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