Consider the following population functions. a. Find the instantaneous growth rate of the population, for t

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Consider the following population functions.

a. Find the instantaneous growth rate of the population, for t ≥ 0.

b. What is the instantaneous growth rate at t = 5?

c. Estimate the time when the instantaneous growth rate is the greatest.

d. Evaluate and interpretlim p'(t). |t→∞

e. Use a graphing utility to graph the population and its growth rate.

800 p(t) 1 + 7e-0.2t

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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