Use spherical coordinates. JJ/ tex². Evaluate + y² + +z² dv, where E is the portion of the unit ball x² + y2 + z²2 < 1 that lies in the first octant.

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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Use spherical coordinates.
Evaluate
|
tet?
+ y² + z²
dv, where E is the portion of the unit ball x² + y² + z² ≤ 1 that lies in the first octant.
Transcribed Image Text:Use spherical coordinates. Evaluate | tet? + y² + z² dv, where E is the portion of the unit ball x² + y² + z² ≤ 1 that lies in the first octant.
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