Question: Let F ( x , y , z ) = xyi + 7 zj 7 yk and let C be the intersection of plane x

Let
F(x, y, z)= xyi +7zj 7yk
and let C be the intersection of plane
x + z =5
and cylinder
x2+ y2=9,
which is oriented counterclockwise when viewed from the top. Compute the line integral of F over C using Stokes' theorem.

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