(Step-by-Step) (a) Suppose that the force field F=P \veci+Q \vecj is conservative, show that (partial P)/(∂ y)=(partial Q)/(∂ x) (b) Using the result
Question: (a) Suppose that the force field \(\vec{F}=P \vec{i}+Q \vec{j}\) is conservative, show that
\[\frac{\partial P}{\partial y}=\frac{\partial Q}{\partial x}\](b) Using the result \((a)\), what can you get for the line integral
\[\oint_{C} P d x+Q d y\]
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