A population of 400 bacteria is introduced into a culture and grows in number according to the equation below, where t is measured in hours. 5t 27+², Find P'(t). P'(t) = =400(5 + P(t) = bacteria/hour Find the rate at which the population is growing when t = 3. (Round your answer to two decimal places.) P'(3) = bacteria/hour

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
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A population of 400 bacteria is introduced into a culture and grows in number according to the equation below, where t is measured in hours.
400(5
5t
27 + t²
Find P'(t).
P'(t) =
P(t) =
bacteria/hour
Find the rate at which the population is growing when t = 3. (Round your answer to two decimal places.)
P'(3) =
bacteria/hour
Transcribed Image Text:A population of 400 bacteria is introduced into a culture and grows in number according to the equation below, where t is measured in hours. 400(5 5t 27 + t² Find P'(t). P'(t) = P(t) = bacteria/hour Find the rate at which the population is growing when t = 3. (Round your answer to two decimal places.) P'(3) = bacteria/hour
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