   Chapter 5, Problem 94RE ### 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

# Finding the Area Bounded by Two Graphs In Exercises 87-94, sketch the region bounded by the graphs of the functions and find the area of the region. y = x 3 − 4 x , y = − x 2 − 2 x

To determine

To graph: The area of the region bounded by the graphs of the functions y=x34x,y=x22x also find the area of the region.

Explanation

Given information:

The functions are y=x34x,y=x22x.

Graph:

Consider the functions y=x34x,y=x22x.

First make a table for the function y=x34x,

 x y=x3−4x (x,y) −2 y=(−2)3−4(−2)=0 (−2,0) 0 y=(0)3−4(0)=0 (0,0) 1 y=(1)3−4(1)=−3 (1,−3)

Now, take the second function y=x22x.

Make a table for this given function,

 x y=−x2−2x (x,y) −2 y=−(−2)2−2(−2)=0 (−2,0) 0 y=−(0)2−2(0)=0 (0,0) 1 y=−(1)2−2(1)=−3 (1,−3)

The required graph is shown below:

Because the value of a and b are not given so, finding the x-coordinates of the points of intersection of the two graphs. To do this equate the two functions and solve for x.

x34x=x22xx3+x22x=0

Further simplify,

x(x2+x2)=0x(x+2)(x1)=0x=0,2,1

Therefore, the value of a and b in first part are 2 and 0 and in second part it will change from 0 to 1 respectively

### 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

#### Convert the expressions in Exercises 6584 to power form. 3

Finite Mathematics and Applied Calculus (MindTap Course List)

#### In Exercises 73-80, find the indicated limits, if they exist. 73. limx3x+2x5

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### Fill in each blank: 1g=cg

Elementary Technical Mathematics

#### The y-coordinate of the center of mass of the region bounded by , x = 1, x = 5, y = 0 is: 4

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

#### Define the validity of measurement and explain why and how it is measured.

Research Methods for the Behavioral Sciences (MindTap Course List) 