Question: 1. Consider the solid E = {(33, y, z)| x2+y2+z2 S 22} with the density function at, y, z) = W. (a) Use spherical coordinates

1. Consider the solid E = {(33, y, z)| x2+y2+z2 S 22} with the density function at, y, z) = W. (a) Use spherical coordinates to nd the total volume of E. (1)) 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 11:2 + y2 = 2 between the myplane and the cone 2 = 3:2 + yz. Set up the iterated integral of f(:13,y) = 3:2 + y2 over W using... (a) ...rectangular coordinates. (b) ...cylindrical coordinates. (c) ...spherical coordinates. Evaluate one of the three integrals (your choice!)

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