Question: Use Stokes' Theorem to evaluate S curl F dS . F ( x , y , z ) = x 2 y 3 zi +

Use Stokes' Theorem to evaluate
S
curl F dS.
F(x, y, z)= x2y3zi + sin(xyz)j + xyzk,
S is the part of the cone
y2= x2+ z2
that lies between the planes y =0 and y =2, oriented in the direction of the positive y-axis.

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