If a cup of coffee has temperature 89°C in a room where the ambient air temperature is 25°C, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t) = 25 + 64e¬/52, What is the average temperature of the coffee during the first 24 minutes? average temp = °C

If a cup of coffee has temperature 89°C in a room where the ambient air temperature is 25°C, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t) = 25 + 64e¬/52, What is the average temperature of the coffee during the first 24 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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Differential Equations

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Question

If a cup of coffee has temperature 89°C in a room where the ambient air temperature is 25°C, then, according to Newton's Law of Cooling, the temperature of the coffee after $ t $ minutes is

\[ T(t) = 25 + 64e^{-t/52}. \]

What is the average temperature of the coffee during the first 24 minutes?

Average temp = $\_\_\_\_\_\_$ °C

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