Find the absolute value of the jacobian transformation

Question

anonymous · Answer

Which transformation?

anonymous · Answer

attachment

anonymous · Answer

k so it says find the absolute value of the jacobian transformation

i think my answer is correct but how would i make it an absolute value for input??

anonymous · Answer

there aren't any examples in the book like it
the examples that do exist just put a function > 0

anonymous · Answer

guessing it would just be 18u/v^2 + 18u/v?

anonymous · Answer

or maybe my answer is wrong :/

anonymous · Answer

?? wouldn't it be (-18u - 18uv)/v^2??

anonymous · Answer

no the partials with respect to y are on the bottom and the partials with respect to x are on the top

anonymous · Answer

$$ \left|
    \begin{array}{cc}
      6 v& 6u \
     \frac 3 v&-3 \frac u{v^2}\
      
    \end{array}=-36 \frac  u v
  \right|


$$

anonymous · Answer

The is a | missing.