[See Solution] Evaluate ∫_S z ~d x ~d y ~d z, where S is the solid bounded by x+y+z=2, x=0, y=0, and
Question: Evaluate \(\iiint_{S} z \mathrm{~d} x \mathrm{~d} y \mathrm{~d} z\), where \(S\) is the solid bounded by \(x+y+z=2, x=0\), \(y=0\), and \(z=0\)
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