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Determine Whether or Not Vector Field Is Conservative F=f.\mathbf { F } = \nabla f .

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Determine whether or not vector field is conservative. If it is conservative, find a function f such that F=f.\mathbf { F } = \nabla f . F(x,y,z)=12xi+8yj+2zk\mathbf { F } ( x , y , z ) = 12 x \mathbf { i } + 8 y \mathbf { j } + 2 z \mathbf { k }


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