If a cup of coffee has temperature 88°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 + 63e-t/54. What is the average temperature of the coffee during the first 18 minutes? - average temp = °C
If a cup of coffee has temperature 88°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 + 63e-t/54. What is the average temperature of the coffee during the first 18 minutes? - average temp = °C
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 9E
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Question
![If a cup of coffee has temperature 88°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 + 63e-t/54. What is the average temperature
of the coffee during the first 18 minutes?
average temp =
°C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a963266-d4e4-421e-a0b7-2e28c2f77e43%2F4927208c-142d-4b98-a233-e6b4ce8904af%2Fd91w5f3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If a cup of coffee has temperature 88°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 + 63e-t/54. What is the average temperature
of the coffee during the first 18 minutes?
average temp =
°C
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