Let E be the surface with equation (y – 4/2)2 1. | 32 52 42 (a) Give equations of the traces of E in the coordinate planes and in the plane y = 8/2, and identify what type of curves these traces are. (b) What type of quadric is E? (c) Provide a hand-drawn sketch of points with their coordinates. (Note: 4/2 5.65.) Emphasize the traces obtained in (a) and label important

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