Section 6.5.  Read the entire section.  Pay particular attention to the Mean Value Theorem for Integrals on page 452.  Answer the following questions.  Send an e-mail with subject line MA251 to selliott@utm.edu .

 

1) On page 451, when Dr. Stewart develops the formula for the average value of a function, what formula does he use to express  n?   

(b-a)/(delta x)

Hugh Pinckley

2) The marginal note beside the formula for the average value of a function gives a word-formula for the average value of a positive function.  What is this word-formula?

area/width=average height
Garrett Wright

3) What is the average value of the function f(x) = 1 + x^2 on the interval [-1,2]?

2
Alyssa Reed