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QUESTION

Consider the function: f(x,y)=x/(x^2+y^2). The level curves of this function are conics sections.

Consider the function: f(x,y)=x/(x^2+y^2). The level curves of this function are conics sections. find the equation in standard form for the level curves and sketch the level curves when k=1/2 and k=1/8.

Can someone please walk me through how to figure this out?

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