Print this chapterPrint this chapter

Section 12.6: Cylinders & Quadric Surfaces

13. Exercise 9

  1. 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.
  2. If we change the equation in part (a) to \(x^2 - y^2 + z^2 = 1\), how is the graph affected?
  3. What if we change the equation in part (a) to \(x^2 + y^2 + 2y - z^2 = 0\)?