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1. Consider the surface - + z2 = 1 a. NEATLY sketch three USEFUL traces of this surface, one parallel to each of the main

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1. Consider the surface - + z2 = 1 a. NEATLY sketch three USEFUL traces of this surface, one parallel to each of the main planes (the xy-plane, the yz-plane, and the xz-plane). A useful trace contains more than one point. Be sure to clearly label each trace, including the axes. (6 points) b. Neatly sketch the surface. You get points for effort, here! Remember that practicing difficult things is good for the soul. (2 points) c. Identify the quadric surface. (1 point)

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