Use the Divergence Theorem to calculate the surface integral F. aS; that is, calculate the flux of F across S. F(x, y, 2) = 3xy²i + xe²j + z°k, S is the surface of the solid bounded by the cylinder y + z² = 1 and the planes x = -3 and x = 3.
Use the Divergence Theorem to calculate the surface integral F. aS; that is, calculate the flux of F across S. F(x, y, 2) = 3xy²i + xe²j + z°k, S is the surface of the solid bounded by the cylinder y + z² = 1 and the planes x = -3 and x = 3.
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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Transcribed Image Text:Use the Divergence Theorem to calculate the surface integral /
F. dS; that is, calculate the flux of F across S.
F(x, y, z) = 3xy2i + xe³j + z°k,
S is the surface of the solid bounded by the cylinder y2 + z2 = 1 and the planes x = -3 and x = 3.
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