1. Find the volume of the solid region which lies under the surface z = x2y and which lies over the parallelogram with vertices (0,0), (0,1), (6,0), and (6,1).
2. Compute
½∫1 √(1-x2)∫x√3 (x2 + y2) dy dx + ½∫1 √(1-x2)∫x√3 (x2 + y2) dy dx + 2∫4 0)∫√(16-x^2) (x2 + y2) dy dx.