Another model that can be used to represent population growth is the Gompertz equation, which is the

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Another model that can be used to represent population growth is the Gompertz equation, which is the solution of the differential equation

where k is a constant and L is the carrying capacity.

(a) Solve the differential equation.

(b) Use a graphing utility to graph the slope field for the differential equation when k = 0.05 and L = 1000.

(d) Graph the equation you found in part (a) for L = 5000,
Y₀ = 500, and k = 0.02. Determine the concavity of the graph and how it compares with the general solution of the logistic differential equation.

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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Question Posted: Mar 04, 2023 12:24 AM

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Another model that can be used to represent population growth is the Gompertz equation, which is the

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dy dt (7) x y y = k ln

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a b c d dy dt k In ...View the full answer

Calculus

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