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

Short Answer

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