4. Let F(r, y, 2) = r²yi + xz²j+ ze*k and S be the portion of the sphere centered at the origin with radius 4 that lies above the plane z = 0, oriented upward. Use the appropriate integral theorem (and state which one you are using) to evaluate curl F - dS. S.
4. Let F(r, y, 2) = r²yi + xz²j+ ze*k and S be the portion of the sphere centered at the origin with radius 4 that lies above the plane z = 0, oriented upward. Use the appropriate integral theorem (and state which one you are using) to evaluate curl F - dS. S.
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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