Question
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) = y i + (z - y) j + xk
S is the surface of the tetrahedron with vertices (0, 0, 0), (5, 0, 0), (0, 5, 0), and (0, 0, 5)
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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) = y i + (z - y) j + xk S is the surface of the tetrahedron with vertices (0, 0, 0), (5, 0, 0), (0, 5, 0), and (0, 0, 5)

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