Evaluate the surface integral fF- dS where F = (52,-52, 5y) and S is the part of the sphere a² +2+22 JJgFdS 20pi 4 in the first octant, with orientation toward the origin

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
Section10.1: The Rectangular Coordinate System
Problem 37E: Find the exact volume of the solid that results when the triangular region with vertices at 0, 0, 5,...
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Evaluate the surface integral feF. dS where F= (52,-52, 5y) and S is the part of the sphere a2 +1
+1².
J JgF. ds = 20pi
4 in the first octant, with orientation toward the origin
Transcribed Image Text:Evaluate the surface integral feF. dS where F= (52,-52, 5y) and S is the part of the sphere a2 +1 +1². J JgF. ds = 20pi 4 in the first octant, with orientation toward the origin
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