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3. Describe and sketch the graph of the given equation in R³. 1If it is a sphere, find its center and radius. (a) 9y² – z2 = 9 (b) x² + y² + z² – 6x + 4y + 2z + 10 = 0

3. Describe and sketch the graph of the given equation in R³. 1If it is a sphere, find its center and radius. (a) 9y² – z2 = 9 (b) x² + y² + z² – 6x + 4y + 2z + 10 = 0

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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(a) center at (1, – 2, – 4) and its tangent plane is 2x – 3y – 6z + 1 = 0 (b) endpoints of the diameter are (-5, – 3, 2) and (– 1,3, 2) 3. Describe and sketch the graph of the given equation in R³. If it is a sphere, find its center and radius. (a) 9y² – z² = 9 (b) x² + y² + z² – 6x + 4y + 2z + 10 = 0
Transcribed Image Text:(a) center at (1, – 2, – 4) and its tangent plane is 2x – 3y – 6z + 1 = 0 (b) endpoints of the diameter are (-5, – 3, 2) and (– 1,3, 2) 3. Describe and sketch the graph of the given equation in R³. If it is a sphere, find its center and radius. (a) 9y² – z² = 9 (b) x² + y² + z² – 6x + 4y + 2z + 10 = 0
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