   Chapter 13.3, Problem 28E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In Problems 27-32, find the average value of each function over the given interval. 28.   f ( x ) = 2 x − x 2  over  [ 0 , 2 ]

To determine

To calculate: The average value of the function f(x)=2xx2 over the interval [0,2].

Explanation

Given information:

The provided equation is:

f(x)=2xx2 and the interval is [0,2]

Formula used:

Average value

The average value of a continuous function y=f(x) over the interval [a,b] is:

Average value=1baabf(x)dx

Calculation:

The provided function is:

f(x)=2xx2

And the interval is [0,2]

Consider the formula:

Average value=1baabf(x)dx

Substitute 0 for a and 2 for b and 2xx2 for f(x) in above equation to get:

Average value=

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