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Let $U=\\frac{X}{Y}$ and $V=Y$

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For $0<X<\\var{a}$ and $0 <Y<\\var{b}$:

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Hint rounded to 3 decimal places or use complete fraction, and type infty when you need infinity

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To find the range we need to sub in the transformation to the ranges and then check on a graph that this holds.

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For the first range we can see the function at the upper bound of $u$ doesn't change depending on $v$.

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For the second range we can see that the function at upper bound of $v$ does change depending on $u$

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Find the range for $u$ and $v$ so that the range of $v$ does not depend on $u$:

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[[0]]< $v$ < [[1]], [[2]]< $u$ < [[3]]

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Find the range for $u$ and $v$ so that the range of $u$ does not depend on $v$:

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[[0]]< $u$ < [[1]], [[2]]< $v$ < [[3]]

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[[4]]< $u$ < [[5]], [[6]]< $v$ < [[7]]

\n

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