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Let G be the solid in the first octant that is 2 inside cylinder x + y = 4, outside the 2 sphere x
Let G be the solid in the first octant that is 2 inside cylinder x + y = 4, outside the 2 sphere x + y + (z 2) = 4, and between - the planes y = 0 and y = x/3. 1. Find the volume of G using a triple integral in spherical coordinates. 2. Set up (do not evaluate) an iterated triple integral in cylindrical coordinates equal to mass of G if the density at any point (x, y, z) in G is 8(x, y, z) = x+1 2
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