Question: 1. Consider the solid E = {($,y, z)| $2+y2+32 S 2z} with the density function f($, y, z) = W. (a) Use spherical coordinates to

1. Consider the solid E = {($,y, z)| $2+y2+32 S 2z} with the density function f($, y, z) = W. (a) Use spherical coordinates to nd the total volume of E. (b) Use spherical coordinates to nd the total mass of E. (c) Find the average density over E. 2. Let W be the region Within the cylinder 3:2 + y2 = 2 between the anyplane and the cone 2 = \\/:c2 + y2. Set up the iterated integral of f(ac,y) = x2 + 312 over W using... (a) ...rectangular coordinates. (b) ...cylindrical coordinates. (c) ...spherical coordinates. Evaluate one of the three integrals (your choice!)

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