Provide a parametrization for the following surfaces. (Remember to specify the domain of the parametrization corresponding to the surface described.)

(a) The portion of the plane z = 3 a: 3y lying in the rst octant. (b) The portion of the sphere $2 + y2 + 22 = 4 lying outside the cylinder :32 + y2 = 1. (c) The portion of the cone :5 = W with 3 g z 5 6. (d) The portion of the cylinder 312 + 22 = 9 going from a: = 1 to a: = 3. (e) The portion of the paraboloid y = 3:2 I z2 for 0 S y g 9