Determine whether $\mathbf { F }$ is conservative. If so, find a function $f$ such that $\mathbf { F } = \nabla f$.
$$\mathbf { F } ( x , y ) = \left( 6 x ^ { 2 } - 4 x ^ { 3 } y \right) e ^ { - 2 x y } \mathbf { i } - 4 x ^ { 4 } e ^ { - 2 x y } \mathbf { j }$$

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The Answer of Determine whether $\mathbf { F }$ is conservative. If so, find a function $f$ such that $\mathbf { F } = \nabla f$.
$$\mathbf { F } ( x , y ) = \left( 6 x ^ { 2 } - 4 x ^ { 3 } y \right) e ^ { - 2 x y } \mathbf { i } - 4 x ^ { 4 } e ^ { - 2 x y } \mathbf { j }$$

Determine Whether F\mathbf { F }F Is Conservative fff Such That F=∇f\mathbf { F } = \nabla fF=∇f

Determine Whether $\mathbf { F }$ Is Conservative $f$ Such That $\mathbf { F } = \nabla f$