VII.

Basic Calculus

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VII. Let 8 be the surface with equation {2: 4}2 = 43:2 + 43:2. 1. Find an equation of each trace of S on The coordinate planes and on The planes 2 = 4 and z = 8, Then iderli each trace. 2. Identify The type of quadric surface for S. 3. Provide a handdrawn sketch of 5 using The Traces obtained in # 1. Label all important points found on each Trace. 4. 1tfieiauing S as a surface of revolution, nd an equation of a generating curve on The yzplane and determine its corresponding axis of revolution