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: Find curl(curlF→(x,y,z)) of the vector field F→(x,y,z)=x^9zi→−9x^8zj→+yzk→. Enter the exact answer.…

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Q: Let F = (x^2 + y^2, x^2 + y^2) be a vector field and C be the simple closed curve given by circles…

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Q: Find the curl of the vector field F. F(x, y, x) = 2yz'i + 3xj +&xk O 15r4 O 15:3 O (8yz – 8]j +…

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Q: 2.x²y"+xy'–3y= 0,x>0

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Q: nt) Compute the flux of the vector field F = 5xi + 5yj through the surface S, which is the part of…

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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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A: This is a problem of vector calculus.

Q: 10 12 14 10 12 14 (b) Calculate dB at t = 2. dt 64 dollars per month (c) Explain what the number you…

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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) Find the curl of the vector field, CurlF, if F= Axzi- By 2j+ Cx tk, %3D where the coefficients A,…

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Q: Compute the flux of the vector field (4, - y²), out of the rectangle with vertices (0,0), (2,0),…

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Q: Find the curl of the vector field F = curl F = i j+ ان اچ k

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Q: Calculate the flux of the vector field F(x, y, z) = (4x+8) through a disk of radius 6 centered at…

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Q: Find the total flux of the vector field F= (x^2 z)i + (y^2 z)j+(z^3)k through the closed surface of…

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Q: Let C' be the straight line curve between the points (0,7) and (1,0). Let N be the unit normal…

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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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