Concavity of solutions Consider the logistic equation

Chapter 7, Problem 70

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QUESTION:

Concavity of solutions Consider the logistic equation P_1t2 = 0.1Pa1 - P 300 b, for t 0, with P102 7 0. Show that the solution curve is concave down for 150 6 P 6 300 and concave up for 0 6 P 6 150 and P 7 300.

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QUESTION:

Concavity of solutions Consider the logistic equation P_1t2 = 0.1Pa1 - P 300 b, for t 0, with P102 7 0. Show that the solution curve is concave down for 150 6 P 6 300 and concave up for 0 6 P 6 150 and P 7 300.

ANSWER:

Step 1 of 4

Given:- The logistic equation  , for , with .

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