?(a) Find and identify the traces of the quadric surface \(x^{2}+y^{2}-z^{2}=1\) and
Chapter 11, Problem 11(choose chapter or problem)
(a) Find and identify the traces of the quadric surface \(x^{2}+y^{2}-z^{2}=1\) 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 \(x^{2}-y^{2}+z^{2}=1\), how is the graph affected?
(c) What if we change the equation in part (a) to \(x^{2}+y^{2}+2 y-z^{2}=0\)
Equation Transcription:
Text Transcription:
x^2+y^2-z^2=1
1
x^2-y^2+z^2=1
x^2+y^2+2y-z^2=0
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