A model for the population
P(t)
in a suburb of a large city is given by the initial-valueproblem
= P(10−1 −10−7P),    P(0) = 3000,
where t is measured in months. What is the limitingvalue of the population?At what time will the population be equal to one-half of thislimiting value? (Round your answer to one decimal place.)months
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