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)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.3: Subspaces Of Vector Spaces
Problem 49E
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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) = y i + (z - y) j + x k
S is the surface of the tetrahedron with vertices (0, 0, 0), (5, 0, 0), (0, 5, 0), and (0, 0, 5)
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 + x k 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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