Consider the transformation $T: x = \frac{56}{65}u - \frac{33}{65}v, \ \ y = \frac{33}{65}u + \frac{56}{65}v$

A. Compute the Jacobian:
$\frac{\partial(x, y)}{\partial(u, v)} =$

B. The transformation is linear, which implies that it transforms lines into lines. Thus, it transforms the square $S:-65 \leq u \leq 65, -65 \leq v \leq 65$ into a square $T(S)$ with vertices:

T(65, 65) = ( , )

T(-65, 65) = ( , )

T(-65, -65) = ( , )

T(65, -65) = ( , )

C. Use the transformation $T$ to evaluate the integral $\int \!\! \int_{T(S)} \ x^2 + y^2 \ {dA}$

Your overall score for this problem is