Use Stokes' Theorem to evaluate
C
F · dr
where C is oriented counterclockwise as viewed from above.
F(x, y, z) = xyi + 5zj + 7yk,
C is the curve of intersection of the plane
x + z = 8
and the cylinder
x2 + y2 = 9.
C
F · dr
where C is oriented counterclockwise as viewed from above.
F(x, y, z) = xyi + 5zj + 7yk,
C is the curve of intersection of the plane
x + z = 8
and the cylinder
x2 + y2 = 9.