   Chapter 5, Problem 90RE ### 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
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# 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 = 4 − x , y = x 2 − 5 x + 8 , x = 0

To determine

To graph: The area of the region bounded by the graphs of the functions y=4x,y=x25x+8,x=0 also find the area of the region.

Explanation

Given information:

The functions are y=4x,y=x25x+8,x=0.

Graph:

Consider the functions y=4x,y=x25x+8,x=0.

First make a table for the function y=4x,

 x y=4−x (x,y) −1 y=4−(−1)=5 (−1,5) 1 y=4−(1)=3 (1,3) 2 y=4−(2)=2 (2,2)

Now, take the second function y=x25x+8.

Make a table for this given function,

 x y=x2−5x+8 (x,y) −1 y=(−1)2−5(−1)+8=14 (−1,14) 1 y=(1)2−5(1)+8=4 (1,4) 2 y=(2)2−5(2)+8=2 (2,2)

The graph of the function x=0 is a vertical line passing through the point (0,0)

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