a) Calculate the flux of the vector field F(x, y, z) = 275k through a sphere of radlus 4 centered at the origin, oriented outward. Flux = b) Calculate the flux of the vector field F(x, y, z) = -53 +5k through a cube of side length 4 with sides parallel to the axes, oriented Flux =

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A: Since the surface is whole sphere, that is S is closed so we can apply Gauss Divergence Theorem.

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Q: (a) Calculate the flux of the vector field F(x, y, z) = 27 - 4k through a sphere of radius 3…

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