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

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Determine whether or not F is a conservative vector field. If it is, find a function f such that F=f.\mathbf { F } = \nabla f . F=(8x+5y)i+(5x+12y)j\mathbf { F } = ( 8 x + 5 y ) \mathbf { i } + ( 5 x + 12 y ) \mathbf { j } .

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