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 + y²j+z²k S is the boundary of the solid half-cylinder 0 ≤ z ≤ 16 - y²,0 ≤x≤5

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Evaluate the surface integral
orientation.
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)
F(x, y, z) = x² + y²j + z² k
S is the boundary of the solid half-cylinder 0 ≤ z≤ √16-y², 0≤ x ≤ 5
Transcribed Image Text:Evaluate the surface integral orientation. 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) F(x, y, z) = x² + y²j + z² k S is the boundary of the solid half-cylinder 0 ≤ z≤ √16-y², 0≤ x ≤ 5
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