Precalculus with Limits: A Graphing Approach
7th Edition
ISBN: 9781305071711
Author: Ron Larson
Publisher: Brooks/Cole
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Question
Chapter 10.1, Problem 62E
To determine
Tofind:The standard form of the equation of sphere with endpoints of the diameter as
Expert Solution & Answer
Answer to Problem 62E
The standard form of the equation of sphere with endpoints of the diameter as
Explanation of Solution
Given information:
The vertices of endpoints of a diameter are
Calculation:
The general standard form of the equation of sphere is
The center of the sphere is the midpoint of the vertices of endpoints of diameter.
Use the formula for midpoint.
Substitute
So, the center of the sphere is
Use the distance formula for the length of diameter.
Substitute
So, the length of the diameter is
The radius of sphere is half the length of the diameter.
Substitute
Therefore, the standard form of the equation of sphere with endpoints of a diameter as
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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