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A model for the population P(t) in a suburb of a large city is given by the...

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Advance Math

A model for the population

P(t)

in a suburb of a large city is given by the initial-valueproblem

dP
dt

= 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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