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Lecture

MAT136H1 Lecture Notes - Word Problem For Groups, Rate Function


Department
Mathematics
Course Code
MAT136H1
Professor
all

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6.5 Integral Applications
Average Value of a Function
Question #3 (Medium): Word Problem
Strategy
For any word context, average value of the rate function follows: 
 
, where 
is the rate function.
Sample Question
Fresh oven baked pizza cooling off in a kitchen with the temperature of  is given by the function
 , where is in minutes. What is the average temperature of the pizza during the
first half hour?
Solution
The time interval is  in minutes.
The function is  .
Plug into the integral to calculate the average value of the function:


 
   


 


   

  .
Therefore, the average temperature of the pizza in the first half hour is approximately .
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