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

question 394

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

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