(a) Find and identify the traces of the quadric surface 2x 2 - y 2 + z...

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(a) Find and identify the traces of the quadric surface 2x2 - y2 + z2 = 1 and explain why the graph looks like the graph of the hyperboloid of two sheets in Table 1.
(b) If the equation in part (a) is changed to x2 - y2 - z2 = 1, what happens to the graph? Sketch the new graph.

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