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. P(t) = 400(2 + 400(2 Find P'(t). P'(t) = 4t 56 + t² bacteria/hour Find the rate at which the population is growing when t = 2. (Round your answer to two decimal places.) P'(2) = bacteria/hour

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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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.
P(t) = 400(2
4t
56 + t²
Find P'(t).
P'(t) =
+
bacteria/hour
Find the rate at which the population is growing when t = 2. (Round your answer to two decimal places.)
P'(2) =
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. P(t) = 400(2 4t 56 + t² Find P'(t). P'(t) = + bacteria/hour Find the rate at which the population is growing when t = 2. (Round your answer to two decimal places.) P'(2) = bacteria/hour
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