MATH23 Homework 12 Solution - Homework#12 Solutions Math 23 Spring 2015 1 Let S be the part of the plane containing the points(1 0 0(0 1 0 and(0 0 1

MATH23 Homework 12 Solution - Homework#12 Solutions Math 23...

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Homework #12 Solutions Math 23, Spring 2015 1.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, withx0,y0, andz0), 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

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