Consider the general logistic function P(t) = M/1 + Ae kt , with A, M, and k

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Consider the general logistic function P(t) = M/1 + Ae−kt , with A, M, and k all positive. Show that

Make-kt MAK-et (Ae-kt - 1) and P' (t) = (1 + Ae-kt)2 (1 + Ae-kt)3 (b) lim P(t) = 0 and lim P(t) = M, and

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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