10. Find the mass of the solid E ={(x, y, z) E R³ : x² + y² + z² < 4, x > 0, y 2 0, z > 0} whose density is 8(x, y, z) = x² + y² + z².

Find the volume integral of the function f(r, y, 2) = x– y over the parallelepiped with the vertices of the base at (1, y, 2) = (0,0,0). (2,0,0). (3, 1, 0) and (1, 1,0) and the vertices of the upper face at (1. y, 2) = (0, 1, 2). (2, 1, 2), (3. 2, 2) and (1, 2, 2).

Find the mass of the solid inside both z = (x2 + y2)1/2 and x2 + y2 + z2 = 4 if the density p(x,y,z) = (x2 + y2 + z2)5/2

If V=R\power{3}, and W\index{1} is the xy plane and let W\index{2} is yz-plane:     W\index{1}={(x,y,0):x,y∈R}     W\index{2}={(0,y,z):y,z∈R} then V is not the direct sum of W\index{1} and W\index{2}.