Question: Consider a population P satisfying the logistic equation (a) Use the chain rule to find d 2 Pdt 2 . (b) Show that the point

Consider a population P satisfying the logistic equation

dP = kp (1-2). dt

(a) Use the chain rule to find d2P∕dt2.
(b) Show that the point of diminishing returns, where d2P∕dt2 = 0, occurs where P = L∕2.

dP = kp (1-2). dt

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