• anonymous
I guess F is not a conservative vector field. $F(x,y)=e^xsiny\hat{i}+e^xcosy\hat{j}$ $\frac{\partial{P}}{\partial{y}}=\frac{\partial}{\partial{y}}|e^xsiny|=cosy$ $\frac{\partial{Q}}{\partial{x}}=\frac{\partial}{\partial{x}}|e^xcosy|=e^x$ $cosy\neq e^x$
Mathematics

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