The number of bacteria in a refrigerated food product is given by N(T) = 22T² – 617 + 20, 3

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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The number of bacteria in a refrigerated food product is given by N(T) = 22T² – 61T + 20,
3<T<33, where T is the temperature of the food.
When the food is removed from the refrigerator, the temperature is given by T(t) = 2t + 1.6, where t is
the time in hours.
Find the composite function N(T(t)):
N(T(t)) =
4
Find the time when the bacteria count reaches 3751.
Time Needed =
hours
Transcribed Image Text:The number of bacteria in a refrigerated food product is given by N(T) = 22T² – 61T + 20, 3<T<33, where T is the temperature of the food. When the food is removed from the refrigerator, the temperature is given by T(t) = 2t + 1.6, where t is the time in hours. Find the composite function N(T(t)): N(T(t)) = 4 Find the time when the bacteria count reaches 3751. Time Needed = hours
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