Q4. (a) Express the given equation into cylindrical and spherical coordinates: (x + y)2 – z2 + 4 = 0 (b) find the equation of sphere through the circle x? + y² + z? = 1, 2x + 4y + 5z = 6 and touching the xz-plane.
Q4. (a) Express the given equation into cylindrical and spherical coordinates: (x + y)2 – z2 + 4 = 0 (b) find the equation of sphere through the circle x? + y² + z? = 1, 2x + 4y + 5z = 6 and touching the xz-plane.
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) Express the given equation into cylindrical and spherical coordinates:
(x+y)^2-z^2+4=0
(b) find the equation of sphere through the circle x^2+y^2+z^2=1 , 2x+4y+5x=6 and touching the xz-plane
Transcribed Image Text:Q4. (a) Express the given equation into cylindrical and spherical coordinates: (x + y)2 – z2 + 4 = 0
(b) find the equation of sphere through the circle x? + y2 + z² = 1, 2x + 4y + 5z = 6 and
touching the xz -plane.
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