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$$ OSCALC$116\mathrm{.}8\mathrm{.}423.$

Use the divergence theorem to evaluate ${}_{S}F*dS,$ where $F(x,y,z)=xi+yj+zk$ and $S$ is the boundary of the solid enclosed by paraboloid $y=x^2+z^2-2,$ cylinder $x^2+z^2=1,$ and plane $x+y=2,$ and $S$ is oriented outward.

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