swers may result in lost marks. 1. a) Use the cylindrical coordinates to evaluate (x3 + xy? ) dV, where E is the solid E in the first octant that is bounded by the paraboloid z = 1-x2-y, and the coordinate planes z = 0, x = 0 and y = 0. b) Evaluate 1 + 4x x2 + y2 + 22 dV, E where E is the solid that is inside x2 + y2 + 22 = 2z and above both z = V3x2 + 3y2 and z = 1