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. Js F(x, y, z) = -xi-yj + z³k, S is the part of the cone z = V x² + 2= √x² + y² 2-4 -z=1 between the planes z = 1 and z= 4 with downward orientation

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Q: Find the flux of the vector field F across the surface S in the indicated direction. F = x 2y i  -…

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Q: of the vector field F across the surface S in the indicated direction. F = x 2y i  - z k; S is…

A: Introduction: The flux of the vector field F is given by the formula, ∮CF.ndS=∫∫∫div(F)dA

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Q: — ху )і — у X'

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Q: I F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F…

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Q: 8. Use (a) parametrization; (b) Stokes' Theorem to compute fF.dr for the vector field (x² + z)i +…

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Q: Find the flux of the vector field F across the surface S in the indicated direction. F = xi +yj+ z 2…

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Q: Find the flux of the vector field F = xi + ej z k through the surface S given by that portion of the…

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