Question: 3. Consider the surface S defined parametrically by r(u, v) = (vcos(u), usin(u), 27) where (u, v) E [0, 2x] x [0, y] and y

3. Consider the surface S defined parametrically by r(u, v) = (vcos(u), usin(u), 27) where (u, v) E [0, 2x] x [0, y] and y > 0. (a) Produce a plot of the surface. You may wish to use desmos.com/3d. (b) Find the surface area of S. You may wish to use the fact that Vaz + aide = =Iva' + 12 + - In + c. opyright @ 2025 The University of Sydney (c) The projection of S onto the ry plane is the disc a ty'

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