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February 16th, 2009, 02:23 PM   #1
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Quadratic surfaces

Reduce the equation to one of the standard forms, classify the surface and sketch it.

4x^2 - 9y^2 + z^2 + 36 = 0

so...
my work-->
(4x^2 - 9y^2 + z^2 + 36 = 0) / 36
x^2 /9 - y^2 / 4 + z^2 /36 = -1
-x^2 /9 + y^2 / 4 - z^2 /36 = 1

I am not sure what to classify this surface. I think its an hyperboloid of Two sheets. but I am not sure how to sketch this
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February 17th, 2009, 05:40 AM   #2
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Re: Quadratic surfaces

I just tried sketching it. It might be easier to scale the and axes down a bit.
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