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Let A be the sphere having diameter with endpoints (1, –9, –2) and (7, –1, 8). (a) Give an equation (in center-radius form) of A. (b) Give an equation (in center-radius form) of the sphere with the same center as A, that is tangent to exactly one of the coordinate planes, but does not intersect the other two coordinate planes.

Let A be the sphere having diameter with endpoints (1, –9, –2) and (7, –1, 8). (a) Give an equation (in center-radius form) of A. (b) Give an equation (in center-radius form) of the sphere with the same center as A, that is tangent to exactly one of the coordinate planes, but does not intersect the other two coordinate planes.

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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Let A be the sphere having diameter with endpoints (1, –9, –2) and (7, –1, 8). (a) Give an equation (in center-radius form) of A. (b) Give an equation (in center-radius form) of the sphere with the same center as A, that is tangent to exactly one of the coordinate planes, but does not intersect the other two coordinate planes.
Transcribed Image Text:Let A be the sphere having diameter with endpoints (1, –9, –2) and (7, –1, 8). (a) Give an equation (in center-radius form) of A. (b) Give an equation (in center-radius form) of the sphere with the same center as A, that is tangent to exactly one of the coordinate planes, but does not intersect the other two coordinate planes.
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