(a) Find and identify the traces of the quadric surface x 2 + y 2 - z...
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(a) Find and identify the traces of the quadric surface x2 + y2 - z2 = 1 and explain why the graph looks like the graph of the hyperboloid of one sheet in Table 1.
(b) If we change the equation in part (a) to x2 - y2 + z2 = 1, how is the graph affected?
(c) What if we change the equation in part (a) to x2 + y2 + 2y - z2 = 0?
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a The traces of x y 2 1 in x k are y z 1 k a family of hyperbolas Note that the h...View the full answer
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