The population of a culture of cells after t days is approximated by the function a. Graph

Question:

The population of a culture of cells after t days is approximated by the function 1600 for t > 0. P(t) 1 + 7e 0.02t

a. Graph the population function.

b. What is the average growth rate during the first 10 days?

c. Looking at the graph, when does the growth rate appear to be a maximum?

d. Differentiate the population function to determine the growth rate function P'(t).

e. Graph the growth rate. When is it a maximum and what is the population at the time that the growth rate is a maximum?

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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Question Posted: Feb 08, 2019 12:33 PM

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The population of a culture of cells after t days is approximated by the function a. Graph

Question:

1600 for t > 0. P(t) 1 + 7e 0.02t

Step by Step Answer:

a b The average growth rate for the first ten days is cells per day c The maximu...View the full answer

Calculus Early Transcendentals

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