11.6 Surfaces in Space Day 1 – Quadratic surfaces.

11.6 Surfaces in Space Day 1 – Quadratic surfaces

Ellipsoid

Example

Hyperboloid of One Sheet

Hyperboloid of Two Sheets

Elliptic Cone

Elliptic Paraboloid

Hyperbolic Paraboloid

Example 2Classify and sketch the surface

Example 3Classify and sketch the graph

z

xy

Example 4

Classify and sketch the surface given by

Solution to example 4

Center (2,-1,1)Larger graphic on the next slide

Recall

To draw surfaces on a TI89 Calculator Press mode and change graph from function

to 3D

Q: Did you hear about the statistician who invented a device to measure the weight of trees?A: It's referred to as the log scale.

For more information on this topic visit: http://www.math.umn.edu/~rogness/quadrics/

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