II. Let S be the portion of the cylinder x² - 6x + z = 4, oriented by upward-slanting normal vectors, that is cut by the planes y = 1, y = 4, and z = 0. Find the flux of F(x, y, z) = (xy, 3xz², yz) across S. Use surface integrals of vector fields

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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II.
Let S be the portion of the cylinder x² - 6x + z = 4, oriented by upward-slanting normal
vectors, that is cut by the planes y = 1, y = 4, and z = 0. Find the flux of
F(x, y, z) = (xy, 3xz², yz)
across S. Use surface integrals of vector fields
Transcribed Image Text:II. Let S be the portion of the cylinder x² - 6x + z = 4, oriented by upward-slanting normal vectors, that is cut by the planes y = 1, y = 4, and z = 0. Find the flux of F(x, y, z) = (xy, 3xz², yz) across S. Use surface integrals of vector fields
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