Graphing a Hyperboloid of One Sheet

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In this video I graph a Hyperboloid of One Sheet, which has horizontal traces being ellipses and vertical traces being hyperbolas. This quadric surface is made up of one sheet, which means there is no separation into two parts as are usually typical when dealing with hyperbolas. I will go over the Hyperboloid of Two Sheets in a later video.

GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec

Time stamps:

• Example 6: Hyperboloid of One Sheet: 0:00
• Solution: Horizontal traces are ellipses: 0:15
• Vertical traces are hyperbolas: 0:56
• Sketching the Hyperboloid of One Sheet: 1:56
• Better graph from my Calculus book: 5:13
• Graphing in GeoGebra: 5:36

Full video below:

• Cylinders and Quadric Surfaces:

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