7.6: Quadric Surfaces
- Page ID
- 143831
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- Sketch the trace of the surface \(z = x^2 - y^2\) in the plane \(x = 1\).
- Sketch the trace of the surface \(x^2 + y^2 - z^2 = 1\) in the plane \(z = -2\).
- Sketch the trace of the surface \(\dfrac{z^2}{4} - \dfrac{x^2}{9} - \dfrac{y^2}{25} = 1\) in the plane \(y = 0\).
- Sketch the trace of the surface \(\dfrac{y^2}{16} + \dfrac{x^2}{36} - z^2 = 1\) in the plane \(x = 6\).
- Sketch the surface \(y^2 - x^2 - z^2 = 1\).
- Sketch the surface \(x^2 + y^2 - z^2 = 4\).
- Sketch the surface \(4x^2 + y^2 + 9z^2 = 36\).
- Sketch the surface \(z = y^2 - x^2\).
- Sketch the surface \(4z = \dfrac{x^2}{4} + y^2\).
- Sketch the surface \(\dfrac{y^2}{9} + \dfrac{z^2}{4} = x^2\).
- Sketch the surface \(36z^2 - 9x^2 - 4y^2 = 0\).
- Sketch the surface \(\dfrac{x^2}{4} - \dfrac{z^2}{9} - x = 0\).
- Sketch the surface \(x = \dfrac{y^2}{16} + \dfrac{z^2}{25}\).
- Sketch the surface \(\dfrac{(x - 1)^2}{9} + \dfrac{(y + 2)^2}{4} + \dfrac{(z + 1)^2}{16} = 1\).
- Sketch the surface \( (z - 3)^2 - \dfrac{x^2}{25} - \dfrac{y^2}{16} = 1\).
- Sketch the surface \( \dfrac{(x + 2)^2}{9} + \dfrac{z^2}{4} = 1 + \dfrac{(y - 1)^2}{16}\).