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).
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).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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