Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = x² i + y² j + z² k S is the boundary of the solid half-cylinder 0szs V4 - y², 0 s x < 3

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Evaluate the surface integral
F. dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive
Is
(outward) orientation.
F(x, y, z) = x2 i + y² j + z? k
S is the boundary of the solid half-cylinder 0 <zsV 4 - y2,0 < x < 3
Transcribed Image Text:Evaluate the surface integral F. dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive Is (outward) orientation. F(x, y, z) = x2 i + y² j + z? k S is the boundary of the solid half-cylinder 0 <zsV 4 - y2,0 < x < 3
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