Sketch the level curves z = c for z = x^2/y , c=-4,-1,0,1,4

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- May 13th 2009, 06:21 PMLink88level curves
Sketch the level curves z = c for z = x^2/y , c=-4,-1,0,1,4

- May 14th 2009, 04:45 AMJester
- May 14th 2009, 07:10 AMchisigma
Setting c equal to -4,-1,1,4 we obtain...

$\displaystyle y= - \frac{x^{2}}{4}, y= - x^{2}, y= x^{2}, y= \frac{x^{2}}{4} $

... good!(Itwasntme)... and setting, as also requested, c=0? (Thinking)...

Kind regards

$\displaystyle \chi$ $\displaystyle \sigma$ - May 14th 2009, 11:09 PMchisigma
Thanks are undeserved since my observations were quite obvious... also quite obvious is that the level curve for $\displaystyle c=0$ is $\displaystyle x=0$, i.e. the level curve is the y-axis...

Kind regards

$\displaystyle \chi$ $\displaystyle \sigma$