   Chapter 5.4, Problem 56E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

# Average Value of a Function In Exercises 53–60, find the average value of the function on the interval. Then find all x-values in the interval for which the function is equal to its average value. f ( x ) = x − 2 x ;   [ 0 , 4 ]

To determine

To calculate: The average value of a function f(x)=x2x over the interval [0,4] and evaluate all values of x at which the function is equal to its average value.

Explanation

Given Information:

The average value of a function is f(x)=x2x.

Formula used:

The average value of the function f in a closed interval [a,b] is defined as,

Average value=1baabf(x)dx

Calculation:

Consider the function,

f(x)=x2x

Now, apply the formula of average value of the function f(x)=6x over the interval [0,3] as,

Average value=14004(x2x)dx=14[x2243x3/2]04=14[(8323)0]=23

Now, find the x values within the interval at which the function is equal to average value, so

x

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Evaluate the integral. /6sind

Single Variable Calculus: Early Transcendentals, Volume I

#### In problems 15-26, evaluate each expression. 23.

Mathematical Applications for the Management, Life, and Social Sciences

#### Proof Prove Theorem 9.5 for a nonincreasing sequence.

Calculus: Early Transcendental Functions (MindTap Course List) 