Quadric Surfaces

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Multivariable Calculus 3D Surfaces

Calculus

Last updated 11:08 PM on 9/8/25
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6 Terms

1
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Ellipsoid

x²/a² + y²/b² + z²/c² = 1

2
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Elliptic Paraboloid

z/c = x²/a² + y²/b²

3
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Hyperbolic Paraboloid

z/c = x²/a² - y²/b²

4
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Cone

z²/c² = x²/a² + y²/b²

5
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Hyperboloid of One Sheet

x²/a² + y²/b² - z²/c² = 1

6
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Hyperboloid of Two Sheets

-x²/a² - y²/b² + z²/c² = 1