Class Notes (1,100,000)
CA (630,000)
UTSG (50,000)
MAT (4,000)
MAT136H1 (900)
all (200)
Lecture

MAT136H1 Lecture Notes - Word Problem For Groups, Rate Function

Department
Mathematics
Course Code
MAT136H1
Professor
all

This 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 .
You're Reading a Preview

Unlock to view full version