Precalculus with Limits: A Graphing Approach
Precalculus with Limits: A Graphing Approach
7th Edition
ISBN: 9781305071711
Author: Ron Larson
Publisher: Brooks/Cole
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Maximization
Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.
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Chapter 10.1, Problem 76E
To determine

Sketch the graph of the equation and the specified trace.

Expert Solution & Answer
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Answer to Problem 76E

The sphere of the equation x2+(y+3)2+z2=25 and its intersection (y+3)2+z2=52

Explanation of Solution

Given:

Consider the following equation

  x2+(y+3)2+z2=25

To find the yz− trace of this surface, substitute x=0 in the equation,

  x2+(y+3)2+z2=25

Put x=0

  0+(y+3)2+z2=25(y+3)2+z2=25

The equation (y+3)2+z2=52 is representing the intersection of the surface with the yz plane.

The yz− trace is a circle of radius 5

The sphere of the equation x2+(y+3)2+z2=25 and its intersection (y+3)2+z2=52 with

the yz plane is shown in the graph

  Precalculus with Limits: A Graphing Approach, Chapter 10.1, Problem 76E

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Chapter 10 Solutions

Precalculus with Limits: A Graphing Approach

Ch. 10.1 - Prob. 1ECh. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Prob. 8ECh. 10.1 - Prob. 9ECh. 10.1 - Prob. 10E
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