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Evaluate the Jacobian $J(u,v)=\cfrac{\partial(x,y)}{\partial (u,v)}$ of the following transformation:

$$T: x=u^2-v^2, y=2uv$$

A

$u-v$

B

$4u^2+4v^2$

C

$u^2+v^2$

D

$\frac{u}{v}$

E

None of the above

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