A given field mouse population satisfies the differential equation dp dt 0.2p - 320. 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) = 1570. Round your answer to two decimal places. tf = i month(s) (c) Find the initial population po if the population is to become ext Round your answer to the nearest integer. Po = i mice

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