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

Question 238

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+y+z\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 x3+y7+z2=1\frac { \mathrm { x } } { 3 } + \frac { \mathrm { y } } { 7 } + \frac { \mathrm { z } } { 2 } = 1


A) 14
B) 28
C) 21
D) 563\frac { 56 } { 3 }

Correct Answer:

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