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

Short Answer

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