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**preview**shows half of the first page. to view the full**1 pages of the document.**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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