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Consider the vector field F(a:, y, z) = (6y, 6:c, 3z). Show that F is a gradient vector field F = VV by determining the

Consider the vector field F(a:, y, z) = (6y, 6:c, 3z). Show that F is a gradient vector field F = VV by determining the function V which satisfies V(0, 0,0) = 0. V06, y, Z) =

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