Consider a population P satisfying the logistic equation dP dt = kP $1 P L %. (a) Use

Chapter 4, Problem 70

(choose chapter or problem)

Consider a population P satisfying the logistic equation dP dt = kP $1 P L %. (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.

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