(See Steps) Evaluate ∫_S z \veck • d S where S is the part paraboloid z=1-x^2-y^2 above the xy-plane together with the bottom disk x^2+y^2 ≤q
Question: Evaluate \(\iint_{S} z \vec{k} \cdot \mathrm{d} \vec{S}\) where \(S\) is the part paraboloid \(z=1-x^{2}-y^{2}\) above the xy-plane together with the bottom disk \(x^{2}+y^{2} \leq 1\) in the $x y$-plane. Use outward pointing normals.
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