Consider with

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

Problem

Consider dNdt=−0.6N (15−N)\dfrac{dN}{dt}=-0.6N\,(15-N) with N>0N>0. For which initial value of NN is dNdt\dfrac{dN}{dt} positive at t=0t=0? (a) N(0)=15N(0)=15 (b) N(0)=20N(0)=20 (c) N(0)=5N(0)=5 (d) N(0)=10N(0)=10

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