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IV. Let .73 be the surface with equation g'ven by 4:1:2 93;2 = 9 (2;2 + 4). 1. Find an equation of the trace of 5'3 on each of the coordinate planes and on the planes 3: = :|:3 Determine if each trace is empty, a point, a (pair of) line(s), a parabola, an ellipse, or a hyperb: 2. What type of quadric surface is 5'3? 3. Using the traces obtained in IV.1., provide a hand-drawn sketch of 5'3. Label all ' (e.g., vertices) found on each trace. (For gmphing pticposes, 3x/2_ m 4.2.) 4. View .73 as a surface of revolution. Find an equation of a generating curve on th- if revolved about the :r-axis, will result to 5'3