Question 2 (a) Evaluate the surface integral where D is part of the plane x + y + 3z = 3 that lies in the first quadrant. Sketch the region D. (9 marks) (b) Use triple integral in Cylindrical coordinates to calculate the volume of the solid inside the cylinder x2 + y2 = 3, bounded above by the sphere x2 + y + 2 = 9 and bounded below by the plane z = -1. Sketch the solid. (9 marks) (c) Evaluate the following double integral by switching the order of integration: In(x ) dr dy Sketch the region of integration. (10 marks) (A total of 28 marks for this question.)