Question: 7. Let D be a connected domain on the ry-plane whose boundary OD consists of closed curves C1, C2, C3, and C4 such that C1

7. Let D be a connected domain on the ry-plane whose boundary OD consists of closed curves C1, C2, C3, and C4 such that C1 encloses the other three curves, as in the figure. C1 C2 C3 D D C4 Assume that C1 and C2 are oriented clockwise, while C3 and C4 are oriented counterclockwise. Let F = (P, Q) be a smooth vector field with F . dr = 1, F. dy =3, F . dr = 5, F. d7 = 7. Evaluate the integral aQ ap dA. ay

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