Question: Transform the surface integral S ( c u r l F ) . n d S to line integral by using Stokes' theorem, and then

Transform the surface integral S(curlF).ndS to line integral by using Stokes' theorem, and then evaluate the line integral.
F(x,y,z)=yi+zj+xk, where S is the portion of the paraboloid z=1-x2-y2 with z0, and n is the unit normal with a nonnegative z-component.
Transform the surface integral S ( c u r l F ) .

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