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. (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.
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