Sketch the level curves z = c for z = x^2/y , c=-4,-1,0,1,4
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Originally Posted by Link88 Sketch the level curves z = c for z = x^2/y , c=-4,-1,0,1,4 The level curves are obtained by setting z =-4, -1 0 1 and 4 so we simply draw the functions $\displaystyle y = - \frac{x^2}{4},\;\; y = - x^2 \;\; y = x^2 \;\; y = \frac{x^2}{4} $
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!... and setting, as also requested, c=0? ... Kind regards $\displaystyle \chi$ $\displaystyle \sigma$
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 $\displaystyle \chi$ $\displaystyle \sigma$
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