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ll. [8 pts] Calculate the circulation (work) of the vector eld F(x,y, :) = (3x + y:)i + (x + 4y}j + (2y3z}k around the

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ll. [8 pts] Calculate the circulation (work) of the vector eld F(x,y, :) = (3x + y:)i + (x + 4y}j + (2y3z}k around the curve where the plane 2x 2 y + 2 =10 intersects the cylinder 1'2 + y2 = 4 with the curve oriented counterclockwise as viewed from the positive :axis. [Hint It's a lot easier with Stokes1 Theorem]

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