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3. Let A(4,3,-1) and B(3, 1,8). (a) Find an equation of the sphere that passes through A and has center B. (b) Find an equation of the largest sphere with center at B that is contained in the first octant. (c) Find the shortest distance from B to the unit sphere centered at the origin.

3. Let A(4,3,-1) and B(3, 1,8). (a) Find an equation of the sphere that passes through A and has center B. (b) Find an equation of the largest sphere with center at B that is contained in the first octant. (c) Find the shortest distance from B to the unit sphere centered at the origin.

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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1:49 Ⓒ 3. Let A(4, 3,−1) and B(3, 1, 8). (a) Find an equation of the sphere that passes through A and has center B. (b) Find an equation of the largest sphere with center at B that is contained in the first octant. (c) Find the shortest distance from B to the unit sphere centered at the origin. 1 of 14 . 35% || O |||
Transcribed Image Text:1:49 Ⓒ 3. Let A(4, 3,−1) and B(3, 1, 8). (a) Find an equation of the sphere that passes through A and has center B. (b) Find an equation of the largest sphere with center at B that is contained in the first octant. (c) Find the shortest distance from B to the unit sphere centered at the origin. 1 of 14 . 35% || O |||
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