Find the Average Value of F(x, Y, Z) Over the Given

question 5

Multiple Choice

Find the average value of F(x, y, z) over the given region.
- $F ( x , y , z ) = x ^ { 2 } y ^ { 6 } z ^ { 4 }$ over the rectangular solid in the first octant bounded by the coordinate planes and the planes $x = 2 , y = 1 , z = 3$

• A) \(\frac { 648 } { 5 }\)
• B) \(\frac { 108 } { 35 }\)
• C) \(\frac { 54 } { 5 }\)
• D) \(\frac { 108 } { 5 }\)

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Definitions:

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