ProgMetal
Oct24-10, 03:31 PM
1. The problem statement, all variables and given/known data
the curve x^3+y^3=3xy is called the folium of descartes.
Show that x+y=3/((x/Y)-1+(y/x)), and hence that x+y = -1 is an oblique asymptote.
2. Relevant equations
3. The attempt at a solution
I have done the first part of the question, though i am just having trouble showing that it is an oblique asymptote. I am trying to get just x on the denominator so that as x approaches infinity, the fraction will approach 0 and rearrange from there. No luck so far.
the curve x^3+y^3=3xy is called the folium of descartes.
Show that x+y=3/((x/Y)-1+(y/x)), and hence that x+y = -1 is an oblique asymptote.
2. Relevant equations
3. The attempt at a solution
I have done the first part of the question, though i am just having trouble showing that it is an oblique asymptote. I am trying to get just x on the denominator so that as x approaches infinity, the fraction will approach 0 and rearrange from there. No luck so far.