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A sheet of metal with constant density $2 \, kg/m^2$ is shaped with parameterization $\vec{G}(x,y) = \langle x, y, 3x-2y \rangle$ for $-1 \leq x \leq 1$ and $-1 \leq y \leq 1$. What is the mass of the sheet?

$\sqrt{14}$

$2\sqrt{14}$

$4\sqrt{14}$

$8\sqrt{14}$

None of the Above