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A model for the population P(t) in a suburb of a large city is given by the initial-value problem (dP)/(dt) = P(10^-1 - 10^-7P), P(0) = 5000, where t is measured in months. What is the limiting value of the population? At what time will the population be equal to one-half of this limiting value? (Round your answer to one decimal place.) months
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A model for the population P(t) in a suburb of a large city is given by the initial-value problem (d P)/(d t)=P(10^-1-10^-7 P), P(0)=5000, where t is measured in months. What is the limiting value of the population? At what time will the population be equal to one-half of this limiting value? | Numerade
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