Sketch S and use the Divergence Theorem to calculate the surface integral fF.ds where F(x, y, z) = (4x²z, 2xyz, -3xz²) and S is the tetrahedron with vertices (0,0,0), (1,0,0), (0,1,0), and (0,0,1).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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Sketch S and use the Divergence Theorem to calculate the surface integral fF.ds
where F(x, y, z) = (4x²z, 2xyz,-3xz²) and S is the tetrahedron with vertices (0,0,0),
(1,0,0), (0,1,0), and (0,0,1).
Transcribed Image Text:Sketch S and use the Divergence Theorem to calculate the surface integral fF.ds where F(x, y, z) = (4x²z, 2xyz,-3xz²) and S is the tetrahedron with vertices (0,0,0), (1,0,0), (0,1,0), and (0,0,1).
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