   Chapter 13.3, Problem 9E ### 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=x24x

Substitute x24x for y in first equation to get:

x24x=xx2

Solve to get:

x24xx+x2=02x25x=0x(2x5)=0

(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?

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