If a cup of coffee has temperature 92°C in a room where the ambient air temperature is 23°C, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t) = 23 + 69e¯t/54. What is the average temperature of the coffee during the first 36 minutes? average temp = °C

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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If a cup of coffee has temperature 92°C in a
room where the ambient air temperature is
23°C, then, according to Newton's Law of
Cooling, the temperature of the coffee after t
minutes is T(t)
54
23 + 69e-/ . What is the
average temperature of the coffee during the
first 36 minutes?
average temp =
°C
Transcribed Image Text:If a cup of coffee has temperature 92°C in a room where the ambient air temperature is 23°C, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t) 54 23 + 69e-/ . What is the average temperature of the coffee during the first 36 minutes? average temp = °C
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