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## Main Question or Discussion Point

Question as follows

f(x,y)=xy , find the level curves for c= +-1,+-2,+-3,+-4,+-5

My first attempt was to set f(x,y)=c

c=xy and y=1/x C and this is an hyperbolic function. Is that right?

I am also confused what values x can get. I know it is restricted and x>0.

Can x get the same value as C ?

f(x,y)=xy , find the level curves for c= +-1,+-2,+-3,+-4,+-5

My first attempt was to set f(x,y)=c

c=xy and y=1/x C and this is an hyperbolic function. Is that right?

I am also confused what values x can get. I know it is restricted and x>0.

Can x get the same value as C ?

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