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

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Chapter6: Exponential And Logarithmic Functions
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7.5.2 Please answer clearly
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
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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