1. (a) (3 points) Let S be the part of the paraboloid z = 3(.x2 + y2) that lies under the plane z = 12. Write a paramete

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1 A 3 Points Let S Be The Part Of The Paraboloid Z 3 X2 Y2 That Lies Under The Plane Z 12 Write A Paramete 1 (31.22 KiB) Viewed 11 times

1. (a) (3 points) Let S be the part of the paraboloid z = 3(.x2 + y2) that lies under the plane z = 12. Write a parameterization of S using a function º(u, v). Be sure to specify the domain of your function 0. (b) (2 points) Give an example of a normal vector to S at the point (1,1,6). (c) (3 points) Compute the surface area of S.