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(e)
(f)
(g)
In each part, find a rotation that removes the cross-product terms, and give its equation in the -system.
8. Name the quadric.
(a)
(b)
(c)
(d)
In Exercises 7–10 translate and rotate the coordinate axes to put the quadric in standard position. Name the quadric and give
its equation in the final coordinate system.
9.
10.
11.
12.
Prove Theorem 9.7.1.
13.
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