Question: Use Stokes' theorem to evaluate S curl ( F ) dS . F ( x , y , z ) = e 6 xy i

Use Stokes' theorem to evaluate
S
curl(F) dS.
F(x, y, z)= e6xyi + exzj + x2zk,
S is the half of the ellipsoid
3x2+ y2+3z2=3
that lies to the right of the xz-plane, oriented in the direction of the positive y-axis

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