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

question 339

Multiple Choice

Use a CAS integration utility to evaluate the triple integral of the given function over the specified solid region.
- $F ( x , y , z ) = x ^ { 2 } + y ^ { 2 } + z ^ { 2 }$ over the tetrahedron bounded by the coordinate planes and the plane $\frac { x } { 8 } + \frac { y } { 4 } + \frac { z } { 7 } = 1$

• A) \(\frac { 9632 } { 25 }\)
• B) \(\frac { 2408 } { 5 }\)
• C) \(\frac { 1204 } { 3 }\)
• D) \(\frac { 903 } { 2 }\)

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