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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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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=4x (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=x25x+8 (x,y)
1 y=(1)25(1)+8=14 (1,14)
1 y=(1)25(1)+8=4 (1,4)
2 y=(2)25(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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