Use Gauss’ theorem to evaluate F.ndS for the given F and o. (b) F(x, y, z) = x³ i+x?yj+xy k, o : the closed surface enclosing the solid bounded by the parabolic cylinder z = 4–x² and the planes y + z = 4, z = 0 and y = 0.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use Gauss' theorem to evaluate
F.ndS for the given F and o.
(b) F(x, y, z) = x³ i+x²yj+xy k,
o : the closed surface enclosing the solid bounded by the parabolic cylinder z = 4–x2
and the planes y + z = 4, z = 0 and y = 0.
Transcribed Image Text:Use Gauss' theorem to evaluate F.ndS for the given F and o. (b) F(x, y, z) = x³ i+x²yj+xy k, o : the closed surface enclosing the solid bounded by the parabolic cylinder z = 4–x2 and the planes y + z = 4, z = 0 and y = 0.
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