Let S be the surface with equation 4y² + 4z²x² - 16 = 0. +4√3 1. Find an equation of the trace of S on each of the coordinate planes, and on the planes x = Identify each trace. 2. Identify the type of quadric surface for S. 3. Provide a hand-drawn sketch of S using the traces obtained in (1). Label all important points foun on each trace. (Note: For graphing purposes, 4√3≈ 6.9.) 4. Find an equation of a generating curve on the rz-plane if S is viewed as a surface of revolution.

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