IV. Let S be the quadric surface with equation (z-4)² y² 4 3 3x² = 1. 1. Give an equation of the traces of S on each of the coordinate planes and on the z = 8. Identify the graph of each trace. 2. Sketch S using the traces obtained in the previous item. Label all important ] on each trace. 3. Identify the graph of S.

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