I was reading a statistics book, and part of the problem reduces to the calculus problem of doing the following:(adsbygoogle = window.adsbygoogle || []).push({});

1) Let u=x/y, v=y, with domain 0<x<y<1, how to find the ranges of u and v after the transformation?

2) Let u=x/(x+y), v=x+y with domain x>1, y>1, what values can u and v take on?

Is there a systematic way to do these?

Thank you for any help!

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# Multivariable Transformations

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