3. Let & be the surface with equation 2² 3- (y - 4√/2)² 4² - 1. 3² (a) Give equations of the traces of & 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 &? (c) Provide a hand-drawn sketch of Ɛ. Emphasize the traces obtained in (a) and label important points with their coordinates. (Note: 4√2≈ 5.65.) +

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