?True or False? Justify your answer with a proof or a counterexample.For vector field
Chapter 6, Problem 428(choose chapter or problem)
True or False? Justify your answer with a proof or a counterexample.
For vector field F(x, y) = P(x, y)i + Q(x, y)j, if \(P_{y}(x, y)=Q_{x}(x, y)\) in open region D, then \(\int_{\partial D} P d x+Q d y=0\).
Text Transcription:
P_{y}(x, y)=Q_{x}(x, y)
\int_{\partial D} P d x+Q d y=0
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