Consider the point P(5, -8, 0) and the sphere x^2 + y^2 + z^2 = 9. Find the point on the sphere that is closest to the point P and the point on the sphere that is the farthest from the point P.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 8E
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Consider the point P(5, -8, 0) and the sphere x^2 + y^2 + z^2 = 9. Find the point on the sphere that is closest to the point P and the point on the sphere that is the farthest from the point P.
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