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Evaluate the surface integral f F. dS where F = (-2x, –5z, 5y) and S is the part of the sphere x2 + y? + z? = 16 in the first octant, with orientation toward the origin. S Ss F. ds 32pi/3

Evaluate the surface integral f F. dS where F = (-2x, –5z, 5y) and S is the part of the sphere x2 + y? + z? = 16 in the first octant, with orientation toward the origin. S Ss F. ds 32pi/3

Elementary Geometry For College Students, 7e
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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I got 32pi/3 but that was incorrect.

Evaluate the surface integral s F. dS where F = (-2x, –5z, 5y) and S is the part of the sphere x? + y² + toward the origin. = 16 in the first octant, with orientation S S3 F · • dS = 32pi/3
Transcribed Image Text:Evaluate the surface integral s F. dS where F = (-2x, –5z, 5y) and S is the part of the sphere x? + y² + toward the origin. = 16 in the first octant, with orientation S S3 F · • dS = 32pi/3
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