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

question 435

Multiple Choice

Find the average value of F(x, y, z) over the given region.
- $F ( x , y , z ) = x ^ { 2 } y ^ { 6 } z ^ { 9 }$ over the cube in the first octant bounded by the coordinate planes and the planes $x = 1$ , $y = 1 , z = 1$

• A) \(\frac { 1 } { 192 }\)
• B) \(\frac { 1 } { 84 }\)
• C) \(\frac { 1 } { 108 }\)
• D) \(\frac { 1 } { 210 }\)

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