Use a CAS Integration Utility to Evaluate the Triple Integral $\mathrm { F } ( \mathrm { x } , \mathrm { y } , \mathrm { z } ) = ( \mathrm { x } + \mathrm { y } + \mathrm { z } ) ^ { 2 }$

Multiple Choice

Use a CAS integration utility to evaluate the triple integral of the given function over the specified solid region.
- $\mathrm { F } ( \mathrm { x } , \mathrm { y } , \mathrm { z } ) = ( \mathrm { x } + \mathrm { y } + \mathrm { z } ) ^ { 2 }$ over the tetrahedron bounded by the coordinate planes and the plane $\frac { \mathrm { x } } { 7 } + \frac { \mathrm { y } } { 9 } + \frac { \mathrm { z } } { 6 } = 1$

A) $\frac { 6825 } { 4 }$
B) $\frac { 4095 } { 2 }$
C) $\frac { 61,425 } { 32 }$
D) 1638