(a) Evaluate the surface integral JL. TU xy ds where D is part of the plane x+y+3z = 3 that lies in the first quadrant. Sketch the region D. I (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 + y² + z² = 9 and bounded below by the plane z = -1. Sketch the solid. (c) Evaluate the following double integral by switching the order of integration: 3 2 So So In(x)dx dy /y+I Sketch the region of integration.

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