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4. Show that V(x, y, z) = (x sin y, y cos z, xyz) can't be written as the curl of another vector field F.

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4. Show that V(x, y, z) = (x sin y, y cos z, xyz) can't be written as the curl of another vector field F. 5. Compute Af for f : R3 -> R defined by f(x, y, z) = x sin z + ycos z+ex. Is this function harmonic? Why or why not

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