Question: Use Stokes' Theorem to evaluate C F dr where C is oriented counterclockwise as viewed from above. F ( x , y , z )

Use Stokes' Theorem to evaluate
C
F dr
where C is oriented counterclockwise as viewed from above.
F(x, y, z)= xyi +2zj +6yk,
C is the curve of intersection of the plane
x + z =1
and the cylinder
x2+ y2=144.

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