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If the rate of change of a population is given by dP/dt=3.1(P-2)(P-10), P>0, for what values of P is the population increasing

If the rate of change of a population is given by dP/dt=3.1(P-2)(P-10), P>0, for what values of P is the population increasing
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if the rate of change of a population is given by dP/dt=3.1(P-2)(P-10), P>0, for what values of P is the population increasing

User Roman Goyenko
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1 Answer

3 votes
you have to test dp/dt between these intervals
(-inf,2)
(2,10)
(10,inf)
if dp/dt is positive then the population is increasing with respect to time in that interval
User John Cummings
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7.7k points
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