(Steps Shown) Calculate the outward flux of the vector field F=xi+yj+zk across the closed surface S , the boundary of the solid paraboloid bounded by the xy
Question: Calculate the outward flux of the vector field \(\mathbf{F}=x\mathbf{i}+y\mathbf{j}+z\mathbf{k}\) across the closed surface S , the boundary of the solid paraboloid bounded by the xy plane and \(z=9-{{x}^{2}}-{{y}^{2}}\).
Deliverable: Word Document 
(See Steps) Use Stokes theorem to evaluate W=∫_CF• dr
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