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- Sketch the level surfaces indicated for the following functions $f\colon\R^3\to\R$:
- $f(x,y,z) = x^2-y^2$ for $k=1$
- $f(x,y,z) = 4x^2+y^2-z^2$ for $k=4$
- $f(x,y,z) = x^2-y^2+z^2$ for $k=1$
- $f(x,y,z) = x^2-y^2-z^2$ for $k=1$
- 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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