Suppose the following graph represents the number of bacteria in a culture t hours after the start

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Suppose the following graph represents the number of bacteria in a culture t hours after the start of an experiment.

a. At approximately what time is the instantaneous growth rate the greatest, for 0 ≤ t ≤ 36? Estimate the growth rate at this time.

b. At approximately what time in the interval 0 ≤ t ≤ 36 is the instantaneous growth rate the least? Estimate the instantaneous growth rate at this time.

c. What is the average growth rate over the interval 0 ≤ t ≤ 36?

УА 6000 5000 4000 y = p(t) 3000 2000 1000 4 8 12 16 20 24 28 32 36 Time (hours) Number of bacteria

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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