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

Question 166

Multiple Choice

Find the average value of F(x, y, z) over the given region.
- F(x,y,z) =x2+y2+z2F ( x , y , z ) = x ^ { 2 } + y ^ { 2 } + z ^ { 2 } over the rectangular solid in the first octant bounded by the coordinate planes and the planes x=9,y=6,z=7x = 9 , y = 6 , z = 7


A) 88
B) 1663\frac { 166 } { 3 }
C) 2383\frac { 238 } { 3 }
D) 3283\frac { 328 } { 3 }

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