Find the flux of the vector field V(x, y, z) = 6xy²i + 7x

Q: Find the flux of the vector field V(x, y, z) = 3xy²i + 5x²yj + 2z³k out of the unit sphere. Flux =

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Q: Vz(x, y) V + y have the Show that all the vectors in vector field F same length, and state the…

A: The length or magnitude of a vector a, b is defined as follows: a, b=a2+b2 Note ca, b=ca, b, where c…

Q: Determine the vector field of FF. F(x,y)=8i−4j

A: Solution

Q: Find the flux of the vector field V(x, y, z) = 9xy²i + 9x²yj + z³k out of the unit sphere.

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Q: Find the flux of the vector field V(x, y, z) = 3xy2i + 3x2yj + z3k out of the unit sphere.

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Q: Find the flux of the vector field V(x, y, z) = 2xy²i+ 5x²yj + 3z³k out of the unit sphere. Flux =

A: Denote the unit sphere by S If the sphere is closed,  then the flux of v(x, y, z) out of S is given…

Q: Determine the vector field of F. F(x, y) = 4i – 2j

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Determine the vector field of F. F(x, y) = 12i - 4j

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Q: Determine the vector field of F. F(x, y) = 81-4)

A: The given vector is F=8i-4j

Q: Sketch the vector field of F = (-y,0) in the xy-plane. %3D

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Q: Find the flux of the constant vector field i = -4 i – 5j- 2 k through a square plate of area 16 in…

A: The solution is given below

Q: Calculate the curl of the vector = (2x + 3y)i + (y+z)j + (xy + 2zx)k

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Q: Find the curl of the vector field at the given point. F(x, y, z) = x²zi - 2xzj + yzk; (3,-9, 9) 15i…

A: To find the curl of the vector field at the given point.;

Q: Find the curl of the vector field F(x, y, z) = x²i – 3j + yz?k. curl F = z?k curl F = z2j curl F =…

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Q: find the curl for vector field F = y³i+ xyj – zk

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Q: Determine the vector field of F. F(x, y) = 9i - 3j y y

A: We will determine the vector field graph for given vector field using ve tor field plotter.