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Use a CAS Integration Utility to Evaluate the Triple Integral F(x,y,z)=x2+y2+z2F ( 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) =x2+y2+z2F ( x , y , z ) = x ^ { 2 } + y ^ { 2 } + z ^ { 2 } over the tetrahedron bounded by the coordinate planes and the plane x8+y4+z7=1\frac { x } { 8 } + \frac { y } { 4 } + \frac { z } { 7 } = 1


A) 963225\frac { 9632 } { 25 }
B) 24085\frac { 2408 } { 5 }
C) 12043\frac { 1204 } { 3 }
D) 9032\frac { 903 } { 2 }

Correct Answer:

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