Question: 11. Let S be the surface x2 +y' + (z - 1)2 = 4 with > > 0, with orientation pointing away from the centre


11. Let S be the surface x2 +y' + (z - 1)2 = 4 with > > 0, with orientation pointing away from the centre of the sphere (i.e., S is the part of the sphere of radius 2, centered at (0, 0, 1), for which z 2 0). Evaluate ff curl F . dS, where F - (re +z, tan(ryz) +y +1, ev= sin(z?))
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