he population of a species is given by the function where t 0 is measured in

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he population of a species is given by the function Kt? P(t) 1² + b’ || where t ≥ 0 is measured in years and K and b are positive real numbers.

a. With K = 300 and b = 30, what islim P(t). the carrying capacity of the population?

b. With K = 300 and b = 30, when does the maximum growth rate occur?

c. For arbitrary positive values of K and b, when does the maximum growth rate occur (in terms of K and b)?

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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