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10 points \( \mathbf{F}(x, y)=(x y, x) \) and \( \mathbf{F}=\nabla f \) \( \quad f(x, y)=x y \) \( ...
10 points \( \mathbf{F}(x, y)=(x y, x) \) and \( \mathbf{F}=\nabla f \) \( \quad f(x, y)=x y \) \( f(x, y)=x^{2} y / 2 \) there is no such \( f \) \( f(x, y)=x^{2} y / 2+x y \)
