Consider a population P satisfying the logistic equation (a) Use the chain rule to find d 2 Pdt 2 (b) Show that the point of diminishing returns, where d 2 Pdt 2 0, occurs where P L2 dP kp (1 2) dt...

a Before differentiating we multiply out giving ...

Consider a population P satisfying the logistic equation (a) Use the chain rule to find d 2

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Consider a population P satisfying the logistic equation

(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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Applied Calculus

ISBN: 9781119275565

6th Edition

Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

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Consider a population P satisfying the logistic equation (a) Use the chain rule to find d 2

Question:

dP = kp (1-2). dt

Step by Step Answer:

a Before differentiating we multiply out giving ...View the full answer

Applied Calculus

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