4 P - 0.001P^2$. We can rewrite this equation by factoring out $P$ as $P(0.4 - 0.001P)$. The carrying capacity is the value of $P$ for which the rate of change of the population is zero, i.e., $\frac {dP}{dt} = 0$. Setting $0.4 - 0.001P = 0$ and solving for $P$, we
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