If a cup of coffee has temperature 93°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 + 70e-t/53, What is the average temperature of the coffee during the first 26 minutes? average temp D °C

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
If a cup of coffee has temperature 93°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 + 70e-/53. What is the average temperature of the coffee during the first 26 minutes?
average temp =
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Transcribed Image Text:If a cup of coffee has temperature 93°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 + 70e-/53. What is the average temperature of the coffee during the first 26 minutes? average temp = US sc @ 23 $ % & 1 2 3 4 8 e y u d k C b n m alt ctrl
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