If a cup of coffee has temperature 88°C in a room where the ambient air temperature is 21°C, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t) = 21 +67e-t/47 What is the average temperature of the coffee during the first 30 minutes? average temp = °C

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
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If a cup of coffee has temperature 88°C in a room where the ambient air
temperature is 21°C, then, according to Newton's Law of Cooling, the
temperature of the coffee after t minutes is T(t) = 21 +67e-t/47
What is the average temperature of the coffee during the first 30
minutes?
average temp =
°C
Transcribed Image Text:If a cup of coffee has temperature 88°C in a room where the ambient air temperature is 21°C, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t) = 21 +67e-t/47 What is the average temperature of the coffee during the first 30 minutes? average temp = °C
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If a cup of coffee has temperature 96°C in a room where the ambient air temperature is 19°C, then,
according to Newton's Law of Cooling, the temperature of the coffee after t minutes is
T(t) = 19+77e-t/45. What is the average temperature of the coffee during the first 20 minutes?
average temp =
°C
Transcribed Image Text:If a cup of coffee has temperature 96°C in a room where the ambient air temperature is 19°C, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t) = 19+77e-t/45. What is the average temperature of the coffee during the first 20 minutes? average temp = °C
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