Paul's Online Notes
Paul's Online Notes
Home / Calculus III / 3-Dimensional Space / Quadric Surfaces
Show Mobile Notice Show All Notes Hide All Notes
Mobile Notice
You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone). Due to the nature of the mathematics on this site it is best views in landscape mode. If your device is not in landscape mode many of the equations will run off the side of your device (should be able to scroll to see them) and some of the menu items will be cut off due to the narrow screen width.

Section 12.4 : Quadric Surfaces

2. Sketch the following quadric surface.

\[\frac{{{x^2}}}{4} + \frac{{{y^2}}}{9} + \frac{{{z^2}}}{6} = 1\] Show Solution

This is an ellipsoid and because the numbers in the denominators of each of the terms are not the same we know that it won’t be a sphere.

Here are a couple of sketches of the region. We’ve given them with the more traditional axes as well as “boxed” axes to help visualize the surface.