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 + xe²j + z³k, S is the surface of the solid bounded by the cylinder y2 + z² = 9 and the planes x = -1 and x = 1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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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 + xe²j + z³k,
S is the surface of the solid bounded by the cylinder y2 + z² = 9 and the planes x = -1 and x = 1.
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 + xe²j + z³k, S is the surface of the solid bounded by the cylinder y2 + z² = 9 and the planes x = -1 and x = 1.
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