   Chapter 13.3, Problem 12E ### 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

# For each shaded region in Problems 7-12, (a) find the points of intersection of the curves, (b) form the integral that represents the area of the shaded region, and (c) find the area of the shaded region. (a)

To determine

To calculate: The point of intersection of the curve Explanation

Given information:

The provided region is:

Formula used:

The steps for calculating the point of intersection of the curve are:

Step 1: Consider the equations in the curve.

Step 2: Solve the equations for any variable

Step 3: Substitute the value of the variable in any of the equation to calculate the value of other variable.

Calculation:

Consider the curve:

Consider the formula:

The equations are:

y=xx2

And

y=x3x2

Substitute x3x2 for y in first equation to get:

x3x2=xx2

Solve to get:

x3x2x+x2=0x3x=0x(x21)=0x(x1)(x+1)=0

Thus,

x=0 or x=

(b)

To determine

To calculate: The integral that represents the area of the shaded region. (c)

To determine

To calculate: The area of the region ### 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

#### Expand each expression in Exercises 122. (x32x2+4)(3x2x+2)

Finite Mathematics and Applied Calculus (MindTap Course List)

#### In Exercises 1926, pivot the system about the circled element. [1268|32]

Finite Mathematics for the Managerial, Life, and Social Sciences

#### Sometimes, Always, or Never: If 0 ≤ an ≤ bn for all n and diverges, then converges.

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