   Chapter 13, Problem 11T ### 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

# Find the area between y   =   2 x +   4  and  y = x 2 −   x .

To determine

To calculate: The area between the curves y=2x+4 and y=x2x.

Explanation

Given Information:

The provided functions are y=2x+4 and y=x2x.

Formula Used:

The area under the curves y=f(x) and y=g(x) for x=a and x=b is such that,

A=ab[f(x)g(x)]dx

Calculation:

Consider the functions, y=2x+4 and y=x2x

Substitute y=2x+4 in the function y=x2x,

2x+4=x2xx2x2x4=0x23x4=0

Make the factors,

x24x+x4=0x(x4)+1(x4)=0(x4)(x+1)=0

The obtained values are x=1,4

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