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A population of 440 bacteria is introduced into a culture and grows in number according to the equation below, where t is measured in hours. P(t) = 440(1 2t 37+t Find P'(t). P'(t) = + bacteria/hour Find the rate at which the population is growing when t = 5. (Round your answer to two decimal places.) P'(5) = bacteria/hour

A population of 440 bacteria is introduced into a culture and grows in number according to the equation below, where t is measured in hours. P(t) = 440(1 2t 37+t Find P'(t). P'(t) = + bacteria/hour Find the rate at which the population is growing when t = 5. (Round your answer to two decimal places.) P'(5) = bacteria/hour

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A population of 440 bacteria is introduced into a culture and grows in number according to the equation below, where t is measured in hours. P(t) = 440(1. 1+ Find P'(t). P'(t) = 2t 37 + t² bacteria/hour Find the rate at which the population is growing when t = 5. (Round your answer to two decimal places.) P'(5) = bacterla/hour
Transcribed Image Text:A population of 440 bacteria is introduced into a culture and grows in number according to the equation below, where t is measured in hours. P(t) = 440(1. 1+ Find P'(t). P'(t) = 2t 37 + t² bacteria/hour Find the rate at which the population is growing when t = 5. (Round your answer to two decimal places.) P'(5) = bacterla/hour
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A population of 440 bacteria is introduced into a culture and grows in number according to the equation below, where t is measured in hours. P(t) = 440(1+ 2t 37 +² Find P'(t). P'(t) = bacteria/hour Find the rate at which the population is growing when t = 5. (Round your answer to two decimal places.) P'(5) = 25.64 bacteria/hour
Transcribed Image Text:A population of 440 bacteria is introduced into a culture and grows in number according to the equation below, where t is measured in hours. P(t) = 440(1+ 2t 37 +² Find P'(t). P'(t) = bacteria/hour Find the rate at which the population is growing when t = 5. (Round your answer to two decimal places.) P'(5) = 25.64 bacteria/hour
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