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Multivariable Calculus

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Sheet of Metal with Constant Density

MVCALC-KVC8EZ

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?

A

$\sqrt{14}$

B

$2\sqrt{14}$

C

$4\sqrt{14}$

D

$8\sqrt{14}$

E

None of the Above