Question: Find two parameterizations for the surface S consisting of the portion of the plane x + y + z = 1 above the disc x

Find two parameterizations for the surface S consisting of the portion of the plane x+y+z=1 above the disc x2+y21: one parameterization in terms of polar coordinates r and , and a second parameterization in terms of x and y. Include bounds on your parameters in each parameterization. Then, find the surface area of S using whichever of the two parameterization you would like.

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