18 z² –y² t77T (2² + y² + z®)dzdzdy into spherical coordinates. Convert 0. /2 ρ' sin φdρdθdφ /2 •3/2 27/3 */2 /2 - =/2 3/2 =/2 (3/2 */2 Jo 1/4 • =/2 3V2 •3/2 ρ' sin φdρdφdθ 7/4 #/2

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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18-z2
L T (z² + y² + z*)dzdædy into spherical coordinates.
Convert
. 피4
T/2
3
T/3
• =/2 3/2
2x/3
•T/2
3/2
-T/2 Jo
T/2 3/2
ρ' sin φαρdθdφ
/2 Jo
п/4
1/2 3V2
T/4
""p sin édpdodø
T/4
T/2
ρ' sin φαρdφdθ
Transcribed Image Text:18-z2 L T (z² + y² + z*)dzdædy into spherical coordinates. Convert . 피4 T/2 3 T/3 • =/2 3/2 2x/3 •T/2 3/2 -T/2 Jo T/2 3/2 ρ' sin φαρdθdφ /2 Jo п/4 1/2 3V2 T/4 ""p sin édpdodø T/4 T/2 ρ' sin φαρdφdθ
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