Undergraduate

Use Stokes' theorem to evaluate S F n dS where F = 3 y 2 z , 8 xz , 9 x 2 y 2

Use Stokes' theorem to evaluate
S
F n dS
where
F =
3y2z,8xz,9x2y2
and S is the paraboloid
z = x2+ y2
inside the cylinder
x2+ y2=1,
oriented upward.

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