The number of bacteria in a refrigerated food product is given by N(T) = 27T² – 997 + 66, 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) = 27T? – 99T + 66,
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) = 8t + 1.2, where t is
the time in hours.
Find the composite function N(T(t)):
N(T(t)) =
Find the time when the bacteria count reaches 25988.
Time Needed =
hours
Transcribed Image Text:The number of bacteria in a refrigerated food product is given by N(T) = 27T? – 99T + 66, 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) = 8t + 1.2, where t is the time in hours. Find the composite function N(T(t)): N(T(t)) = Find the time when the bacteria count reaches 25988. Time Needed = hours
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