(Steps Shown) Determine whether or not F is a conservative vector field. If it is, find a function f such that F=∇ f F(x, y)=(x+5 y) i+(5 x+4 y)


Question: Determine whether or not \(\mathbf{F}\) is a conservative vector field. If it is, find a function \(f\) such that \(\mathrm{F}=\nabla f\)

\[\mathrm{F}(x, y)=(x+5 y) \mathbf{i}+(5 x+4 y) \mathrm{j}\]

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