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 0 szs V4 – y², 0 s x < 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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
(outward) orientation.
F(x, y, z) = x2 i + y² j + z² k
S is the boundary of the solid half-cylinder 0 < zsV 4 - y2, 0 < x < 3
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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 (outward) orientation. F(x, y, z) = x2 i + y² j + z² k S is the boundary of the solid half-cylinder 0 < zsV 4 - y2, 0 < x < 3 Need Help? Watch It
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