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Multivariable Calculus

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Total Mass

MVCALC-CBLLJ4

A cube $[0,1] \times [0,1] \times [0,1]$ has mass density $\rho(x,y,z)=(x+1)e^z y$, find the total mass of the cube.

A

$1$

B

$\cfrac{1}{2}$

C

$\cfrac{3}{4}$

D

$\cfrac{1}{8}$

E

$\cfrac{1}{e}$