Evaluate the surface integral 16 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) = xi+yj+9k S is the boundary of the region enclosed by the cylinder x² + z² = 1 and the planes y = 0 and x + y = 4

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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 (outward) orientation.
1²
F(x, y, z) = xi+yj + 9 k
S is the boundary of the region enclosed by the cylinder x² + z² = 1 and the planes y = 0 and x + y = 4
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. 1² F(x, y, z) = xi+yj + 9 k S is the boundary of the region enclosed by the cylinder x² + z² = 1 and the planes y = 0 and x + y = 4
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