A population is modeled by the differential equation

MATHEMATICS · Single correct · AP · Calculus BC · Differential Equations · Differential Equations

Problem

A population is modeled by the differential equation dPdt=0.02 P (1200−P)\dfrac{dP}{dt}=0.02\,P\,(1200-P). What value does the model predict the population will approach as t→∞t\to\infty? (a) 600600 (b) 0.020.02 (c) 12001200 (d) 2424

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