ind the flux of the vector field F across the surface S in the indicated direction. == x "yi -z k; Sis portion of the cone z = 4 Vx2 + %3= between z = 0 and z = 4; direction is outward - 8T 4 A Moving to another question will save this response.

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A: Given vector field is F=  x2y + ex siny  i + x2 + ex cosy j Curve r2=cos2θ

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A: In this, we find the flux of the given function across the given cone z=3√(x^2+y^2).

Q: Q19. D = yi – xJ, what is the magnitude of the vector field at the point (-1, –1)? -vz 2.

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Q: Find the work done by the force field F(x, y, z) = xyi+ yzj+xzk or a particle that moves along the…

A: Given: Fx,y,z=xyi+yzj+xzkr(t)=ti+t2j+t3k

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Q: 2. Let C be the curve of intersection between the cylinder r2+y = 1 and r-2y+z = 0, oriented…

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Q: (a) Is the vector field | F(x,y) = (xe, ye²) conservative? Justify your answer. If it is…

A: Let the vector field F = Pi + Qj.The above vector field is conservative if and only if dPdy=dQdx

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Q: 问题的回答系 极性问题是预期答案等 于 是和否的问题(因此, Given the vector field F(r. y, z) = 3: cos.ri+a lny j + e° tanr k.…

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Q: 4. Consider the vector field F = (y?2³ + y)i+ (2æyz³ + x – 2)j+ (3xy²z² – y + 3)E. (a) Verify the…

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Q: 10) Use Green's Theorem to find the work done by the force field F(r, y)% = -ry i+yj in moving a…

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Q: Q#6. Find the flux of the vector field F across the surface in the direction of positive…

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

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Q: The outward flux of the vector field F(x, y, z) = (x, y, z?) across the boundary of D = {(x, y, z) E…

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Q: Compute the flux

A: Compute the flux

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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: Use Green's theorem to find the work done by the force field F(x.y) %3D хyi + 1 x²+xy]j on a…

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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: The outward flux of given field is given by using greens theorem.