   Chapter 5.5, Problem 3CP ### 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

# Checkpoint 3 Worked-out solution available at LarsonAppliedCalculus.comFind the area of the region bounded by the graph of y   =   x 2 −   x −   2 and the x -axis.

To determine

To calculate: The area bounded by graph of the function y=x2x2 and x-axis.

Explanation

Given Information:

The provided function is y=x2x2 and x-axis.

Formula used:

The function f(x) and g(x) are the continuous function on interval [a,b] and g(x)f(x) for all x in [a,b], then, the area bounded by the graphs of f(x) and g(x),x=a and x=b is,

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

Calculation:

Consider the function y=x2x2.

Now, draw the graph by using point plotting method.

Substitute 0 for x in the function y=x2x2.

y=0202=2

Substitute 1 for x in the function y=x2x2.

y=1212=2

Substitute 1 for x in the function y=x2x2.

y=(1)2(1)2=1+12=0

Substitute 2 for x in the function y=x2x2.

y=(2)2(2)2=4+22=4

Now, make the table for the corresponding value of x and y for the function y=x2x2 is shown below,

 x y=x2−x−2 0 −2 1 −2 −1 0 −2 4

Draw the graph of the function y=x2x2 and x-axis by using above table.

Here, the limit of bounded region is not prescribed that’s why the provided function intersect x-axis

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