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12. Let F(x, y) = esinx+cosy(cosx, - sin y) and C = {(x, y): x2 + y2 0. Show that F . dR = 0

12. Let F(x, y) = esinx+cosy(cosx, - sin y) and C = {(x, y): x2 + y2 0. Show that F . dR = 0 c Hint: Note that C is closed. Consider d(x, y) = esinx+cosy. What is the relationship between o and F

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