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Section 12.4 : Quadric Surfaces

Sketch each of the following quadric surfaces.

1. \(\displaystyle \frac{{{y^2}}}{9} + {z^2} = 1\) Solution
2. \(\displaystyle \frac{{{x^2}}}{4} + \frac{{{y^2}}}{9} + \frac{{{z^2}}}{6} = 1\) Solution
3. \(\displaystyle z = \frac{{{x^2}}}{4} + \frac{{{y^2}}}{4} - 6\) Solution
4. \({y^2} = 4{x^2} + 16{z^2}\) Solution
5. \(x = 4 - 5{y^2} - 9{z^2}\) Solution