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

question 20

Multiple Choice

Find the average value of F(x, y, z) over the given region.
- $F ( x , y , z ) = x ^ { 2 } + y ^ { 2 } + z ^ { 2 }$ over the cube in the first octant bounded by the coordinate planes and the planes $x = 5$ ,
$$y = 5 , z = 5$$

• A) 75
• B) 5
• C) 50
• D) 25

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