A calculus problem by Jose Sacramento

Calculus Level pending

Evaluate \(\iint_S (\nabla \times A)n \, dS \) where \(A = (x-z, x^3 + yz, -3xy^2) \) and \(S\) is the surface of the cone \(z = 2-\sqrt{x^2+y^2} \) above the \(xy\) plane.

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