Find a conservative vector field of the form (mathbf{F}=langle g(y), h(x)angle) such that (mathbf{F}(0,0)=langle 1,1angle), where (g(y))
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Find a conservative vector field of the form \(\mathbf{F}=\langle g(y), h(x)angle\) such that \(\mathbf{F}(0,0)=\langle 1,1angle\), where \(g(y)\) and \(h(x)\) are differentiable functions. Determine all such vector fields.
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