?(a) Find and identify the traces of the quadric surface \(-x^{2}-y^{2}+z^{2}=1\) and
Chapter 11, Problem 12(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 two sheets in Table \(1\).
(b) If the equation in part (a) is changed to \(x^{2}-y^{2}-z^{2}=1\), what happens to the graph? Sketch the new graph.
Equation Transcription:
Text Transcription:
-x^2-y^2+z^2=1
1
x^2-y^2-z^2=1
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