Question: We consider the vector field: (i) (ii) : R R, (x, y, z) = sin z +6y2 -2x -3 cos x : Show that

We consider the vector field: (i) (ii) : R R, (x, y, z) = sin z +6y2 -2x -3 cos x : Show that this vector field has a vector potential. : Determine a vector potential a of the form (x, y, z) = (0, a2(x, y, z)), a3(x, y, z)), (x, y, z) = R R3 with continuously partially differentiable functions a2, a3: R R

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