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Evaluate the surface integral JSF dS where F = (5x, 3z, -3y) and S is the part of the sphere a² + y²+ 2 = 9 in the first octant, with orientation toward the origin. √√s F. ds (45pi)/2

Evaluate the surface integral JSF dS where F = (5x, 3z, -3y) and S is the part of the sphere a² + y²+ 2 = 9 in the first octant, with orientation toward the origin. √√s F. ds (45pi)/2

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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Evaluate the surface integral fs F. ds where F = (5x, 3z, -3y) and S is the part of the sphere x² + y² + 2² = 9 in the first octant, with orientation toward the origin. JSF dS (45pi)/2
Transcribed Image Text:Evaluate the surface integral fs F. ds where F = (5x, 3z, -3y) and S is the part of the sphere x² + y² + 2² = 9 in the first octant, with orientation toward the origin. JSF dS (45pi)/2
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