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Homework on 2 October 2013:

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  1. Sketch the level surfaces indicated for the following functions $f\colon\R^3\to\R$:
    1. $f(x,y,z) = x^2-y^2$ for $k=1$
    2. $f(x,y,z) = 4x^2+y^2-z^2$ for $k=4$
    3. $f(x,y,z) = x^2-y^2+z^2$ for $k=1$
    4. $f(x,y,z) = x^2-y^2-z^2$ for $k=1$
  2. From the last two level surfaces above, what do you think you can say about the cases for $a$, $b$, and $c$ that we haven't covered in class yet?


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Created: 2 Oct 2013
Last modified: Oct 3, 2013 7:01:08 AM
Comments to: dpvc@union.edu
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