The population of a culture of cells grows according to the function where t 0 is

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The population of a culture of cells grows according to the function 100t P(1) t + 1 where t ≥ 0 is measured in weeks.

a. What is the average rate of change in the population over the interval [0, 8]?

b. At what point of the interval [0, 8] is the instantaneous rate of change equal to the average rate of change?

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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