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

question 37

Multiple Choice

Use a CAS integration utility to evaluate the triple integral of the given function over the specified solid region.
- $\mathrm { F } ( \mathrm { x } , \mathrm { y } , \mathrm { z } ) = \mathrm { x } + \mathrm { y } + \mathrm { z }$ over the tetrahedron bounded by the coordinate planes and the plane $\frac { \mathrm { x } } { 3 } + \frac { \mathrm { y } } { 7 } + \frac { \mathrm { z } } { 2 } = 1$

• A) 14
• B) 28
• C) 21
• D) \(\frac { 56 } { 3 }\)

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