Find the equation of the sphere

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the equation of the sphere of radius 3 centered at (4, 8, 8).
O (x – 4)2 + (y – 8)2 + (z – 8)² = 3
-
(x + 4)2 + (y + 8)² + (z + 8)² = 9
%3D
O x² + y² + z² = 144
%3D
O (x – 4)² + (y – 8)² + (z – 8)2 = 9
%3D
O x? + y + z2 = 9
+ 22 = 9
Transcribed Image Text:Find the equation of the sphere of radius 3 centered at (4, 8, 8). O (x – 4)2 + (y – 8)2 + (z – 8)² = 3 - (x + 4)2 + (y + 8)² + (z + 8)² = 9 %3D O x² + y² + z² = 144 %3D O (x – 4)² + (y – 8)² + (z – 8)2 = 9 %3D O x? + y + z2 = 9 + 22 = 9
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