The Fundamental Theorem Of Calculus Worksheet Page 9

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Calculus Maximus
WS 4.3: The FTOC
18. (Calculator Permitted) If a cup of coffee has temperature
95 C in a room where the temperature is 20 C , then,
according to Newton’s Law of Cooling, the temperature
 
t
/ 50
of the coffee after t minutes is
T t
20 75
e
.
What is the average temperature of the coffee during the
first half hour? Show your integral set up. Include units
in your final answer.
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