Equation of asymptotes in xy for equation in x'y'
- Thread starter FabZeros
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- Feb 4, 2004
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You've posted lots of questions, include two numbered "13". But what is YOUR question? Which is YOUR equation? What is YOUR work? What is "the answer" that you're not able to match?
Please be clear and complete. Thank you!
Assuming your question is find the asymptotes (asymptotic lines) for
\(\displaystyle \frac{x^2}{\frac{1}{2}} - \frac{y^2}{\frac{1}{3}} = 1\)
we can re-write this as
\(\displaystyle 3 y^2 = 2 x^2 - 1\)
or, for x very large
y ~ \(\displaystyle \pm \sqrt{2/3}\space x\space \) + o(1/x)
Thus the asymptotic lines are
y = \(\displaystyle \pm \sqrt{2/3}\space x\space \)