Evaluate y*dV, where E is the solid hemisphere x? + y? + z² < 9, y > 0. E (Hint: spherical coordinates)

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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Evaluate
y*dV, where E is the solid hemisphere x² + y² + z² < 9, y 2 0.
E
(Hint: spherical coordinates)
Transcribed Image Text:Evaluate y*dV, where E is the solid hemisphere x² + y² + z² < 9, y 2 0. E (Hint: spherical coordinates)
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