Although this integral could be written as 3 9-z2 (9 - x2 - z2) vx² + z²dz dx it's easier to convert to polar coordinates in the xz-plane: x = rcos(0), z = rsin(0). This gives %3D
Although this integral could be written as 3 9-z2 (9 - x2 - z2) vx² + z²dz dx it's easier to convert to polar coordinates in the xz-plane: x = rcos(0), z = rsin(0). This gives %3D
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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How do I change the function into polar coordinates?

Transcribed Image Text:Although this integral could be written as
(9 - x2 - z²) vx2 + z²dz dx
it's easier to convert to polar coordinates in the xz-plane: x = rcos(0), z =
rsin(0). This gives
z²dV
| |(9 - x² - z²) vx? + z² dA
r27
-3
dr de
r2T
3
de
dr
= 2n
II
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