If a cup of coffee has temperature 90°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 +69e-t/54. What is the average temperature of the coffee during the first 30 minutes? average temp = °C
If a cup of coffee has temperature 90°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 +69e-t/54. What is the average temperature of the coffee during the first 30 minutes? average temp = °C
Chapter6: Exponential And Logarithmic Functions
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Problem 31PT: A bottle of soda with a temperature of 71 Fahrenheit was taken off a shelf and placed ina...
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7.5.2
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![If a cup of coffee has temperature 90°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+
21 + 69e¯t/54. What is the average
69e
temperature of the coffee during the first 30
minutes?
average temp =
°C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13e03a7b-b8e8-4d1e-a65a-0250278cef06%2Fba493ddc-2412-4d8b-a4e7-ad88c60a5ce0%2Fi4qd41l_processed.png&w=3840&q=75)
Transcribed Image Text:If a cup of coffee has temperature 90°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+
21 + 69e¯t/54. What is the average
69e
temperature of the coffee during the first 30
minutes?
average temp =
°C
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