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11.6 Surfaces in Space Day 1 – Quadratic surfaces

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Ellipsoid Example

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Hyperboloid of One Sheet

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Hyperboloid of Two Sheets

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Elliptic Cone

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Elliptic Paraboloid

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Hyperbolic Paraboloid

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Example 2 Classify and sketch the surface

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Example 3 Classify and sketch the graph

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z x y

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Example 4 Classify and sketch the surface given by

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Solution to example 4 Center (2,-1,1) Larger graphic on the next slide

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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.

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

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