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Homework #12 SolutionsMath 23, Spring 20151.LetSbe the part of the plane containing the points(1,0,0),(0,1,0), and(0,0,1)thatlies in the first octant (that is, withx≥0,y≥0, andz≥0), with upward-pointingnormal.(a)Letf(x, y, z) =x2+z. ComputeRRSf dS.1
2.Find the surface area of the part of the spherex2+y2+z2= 4which is betweenthe planesz= 1andz=-1.2