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Multivariable CalculusMediumSurface Integrals, Stokes & Divergence

Surface Integrals, Stokes & Divergence · Medium problem

Let SS be the upper hemisphere x2+y2+z2=9x^2 + y^2 + z^2 = 9, z≥0z \ge 0 (the curved part only), with outward normal. Use the divergence theorem to find the flux of F=(x,y,z)\mathbf F = (x, y, z) through SS. Give an exact answer in terms of π\pi.