Use the Divergence Theorem to calculate the surface integral SF · dS; that is, calculate the flux of F across S. F(x, y, z) = 3xy2i + xezj + z3k, S is the surface of the solid bounded by the cylinder y2 + z2 = 9 and the planes x = −3 and x = 1.
Use the Divergence Theorem to calculate the surface integral SF · dS; that is, calculate the flux of F across S. F(x, y, z) = 3xy2i + xezj + z3k, S is the surface of the solid bounded by the cylinder y2 + z2 = 9 and the planes x = −3 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
S |
that is, calculate the flux of F across S.
F(x, y, z) = 3xy2i + xezj + z3k,
S is the surface of the solid bounded by the cylinder
y2 + z2 = 9
and the planes
x = −3 and x = 1.
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