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Active Calculus - Multivariable

Activity 9.7.4.
For each equation below, use the process in Key Idea 9.7.8 to determine the shape of the quadric surface defined by the equation and identify the graph of the quadric surface in Figure 9.7.9.
(a)
\(\displaystyle\frac{x^2}{4}-\frac{y^2}{9}-\frac{z^2}{1}=1\)
(b)
\(\displaystyle\frac{x^2}{4}+\frac{y^2}{9}+\frac{z^2}{1}=1\)
(c)
\(\displaystyle\frac{x^2}{4}-\frac{y^2}{9}-\frac{z}{1}=0\)
Figure 9.7.9. A plot surfaces to select from