Let F = (x'e* +2.xy - 2y)i+(cos y+x² +3x)j and let C be the ellipse with equation (2x - 2y) +(x+ y)° = 9. Find the work (circulation) associated with F along the curve C traversed counterclockwise. [Hint: You may have to invoke two important theorems to complete this problem.]

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A: Solution is given below:

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