Find the flux of the vector field F across the surface S in the indicated direction. F = 3x2j -z2 k; S is the portion of the parabolic cylinder y = 2x 2 for which 0 szs2 and -1 sxs1; direction is outward (away from the y-z plane) O4 O -12 O 12 O -4

Q: Find the flux of the vector field F across the surface S in the indicated direction. F =x 4yi -z k;…

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Q: Find the flux of the vector field F across the surface S in the indicated direction. F = 4x 2 j  -…

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Q: Determine whether the vector field is conservative and, if it is, find the potential function.…

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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

Q: Find the flux of the vector field F across the surface S in the indicated direction. F= 6i+y4z8j-y…

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Q: Find the flux of the vector field F across the surface S in the indicated direction. F=x2y 5i+yj - z…

A: we have to find the flux of the vector field F=x2y5i+yj-zk across the surface S: portion of the…

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Q: calculate the flux of the vector field through the given surface. ~F = ~i + 2x~j + 4y ~k, and S is…

A: GIVEN: F = i + 2xj + 4yk Surface, z = 2x2 + y + 3

Q: Find the flux of the vector field F across the surface S in the indicated direction. F = 4x i+ 4y j…

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Q: (c) Determine the flux of the vector field F = x³î – 2yĵ + 7z²k across a cone z = Jx2 + y2 + 3 that…

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Q: Find the flux of the vector field F across the surface S in the indicated direction. F = 3x 2 j  -…

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Q: Find the outward flux of the vector field F (x, y, z) = x³i + y³j+(z³ + xz)k across the surface of…

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A: Given :              Fx , y , z=2xi+yj+4zkru ,v=sinu cosvi+sinu sinv j+ cosu k       0≤u≤π3  ,…

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Q: Find the flux of the vector field F across the surface S in the indicated direction. F =x3y 2i+yj…

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Q: Find the flux of the vector field F across the surface S in the indicated direction. F = x 3y 2 i +…

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Q: Consider the vector field F (xr, y) = (2y - 12r*y", 4ry – 9r*y?) is conservative. (a) Show that F…

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Q: Find the flux of the vector field F across the surface S in the indicated direction. F = 8x i + 8y…

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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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A: Gauss theorem states that if V is a volume inclosed by a closed surface S then  flux=∫∫S F.n dS=∬∫V…

Q: Find the flux of the vector field F across the surface S in the indicated direction. (away from…

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Q: Integrate the vector field h (x, y, :)pi+y:j+ k over r (1) = w \+ ừĮ +w° k. El-1,1). a) 0 b) 10 c)…

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