Answer
$J(u,v)=-17$
Work Step by Step
Our aim is to find the Jacobin $J(u,v)$.
Since, $J(u,v)=\begin{vmatrix} \dfrac{\partial x}{\partial u}& \dfrac{\partial x}{\partial v} \\ \dfrac{\partial y}{\partial u} & \dfrac{\partial y}{\partial v}\end{vmatrix}$
Here, we have $J(u,v)=\begin{vmatrix} 1 & 4 \\ 3 & -5\end{vmatrix}$
or, $J=-5-12=-17$
Thus, $J(u,v)=-17$
