8. Let S be the part of the sphere r² + y² + z² = 2 where y 2 1, oriented away from the origin. (a) Compute (b) Compute I| (ryî+1zj+ zyk) · în dS

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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8. Let S be the part of the sphere x² + y? + 2² = 2 where y 2 1, oriented away from the
origin.
(a) Compute
// v°as
(b) Compute
/| (ryî+xzj+zyk) · în dS
Transcribed Image Text:8. Let S be the part of the sphere x² + y? + 2² = 2 where y 2 1, oriented away from the origin. (a) Compute // v°as (b) Compute /| (ryî+xzj+zyk) · în dS
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