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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
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 

 
 
S
F · 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.
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