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Find an equation of the sphere containing all surface points P = (x, y, z) such that the distance from P to A(-1, 4, 4) is twice the distance from P to B(6, 3, -2). (x + 1)² + (y− 4)² + (z − 4)² = 4⋅ ((x − 6)² + (y − 3)² + (z+2)²) Find its center and radius. center radius (x, y, z) Need Help? Read It 25 8 3'3' -4 X S 1+

Find an equation of the sphere containing all surface points P = (x, y, z) such that the distance from P to A(-1, 4, 4) is twice the distance from P to B(6, 3, -2). (x + 1)² + (y− 4)² + (z − 4)² = 4⋅ ((x − 6)² + (y − 3)² + (z+2)²) Find its center and radius. center radius (x, y, z) Need Help? Read It 25 8 3'3' -4 X S 1+

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find an equation of the sphere containing all surface points P = (x, y, z) such that the distance from P to A(-1, 4, 4) is twice the distance from P to B(6, 3, -2). (x + 1)² + (y − 4)² + (z − 4)² = 4⋅ ((x − 6)² + (y− 3)² + (z+ 2)²) Find its center and radius. center radius (x, y, z) = Need Help? Read It 25 8 3'3' - 4 - X + X 0 - 00 √OO!
Transcribed Image Text:Find an equation of the sphere containing all surface points P = (x, y, z) such that the distance from P to A(-1, 4, 4) is twice the distance from P to B(6, 3, -2). (x + 1)² + (y − 4)² + (z − 4)² = 4⋅ ((x − 6)² + (y− 3)² + (z+ 2)²) Find its center and radius. center radius (x, y, z) = Need Help? Read It 25 8 3'3' - 4 - X + X 0 - 00 √OO!
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