Compute the flux of the vector field ♬ = zi +67 through the parameterized surface S' oriented upward and given, for 0 ≤ s < 2, 1 ≤ t ≤ 3, by x=8², y=2s + t², z = 3t. flux = !

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Q: Show that the vector field F = (x² cos y, e+y) is not a gradient vector field. %3D

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Q: Determine whether →F(x,y,z)=3x^2yˆi−yzˆj+zx^2ˆk is a conservative vector field.     Component of…

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Q: 8xz Calculate line integral F. dr of conservative vector field F(x, y, z) = i Y A from (-4, 2, 1) to…

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Q: point -2 has parameterization F(t) = (4(1-t), 3t) for 0 s 2

A: This is a problem of vector calculus.

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Q: Let f(x, y) = x^2/(x + y). Find a unit vector u such that Duf(1, 2) = 0

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Q: (b) If F(x, y) = (4x + 4y)i + (4x + 4y)j, then f(x, y) =

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Q: Find the gradient vector field of f(r,y, z) = x*y* +y³z³ + æz°.

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A: Answer:   The correct option is B.

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Q: Calculate the flux of the vector field (³, ³), out of the annular region between the x² + y² = 9 and…

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Q: disk

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Q: Verify Green’s Theorem for the vector field F(x, y) = (x^2*y^2 , xy) and the closed curve C…

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