The average value of a function over a solid z region is
Chapter 15, Problem 15.260(choose chapter or problem)
The average value of a function over a solid z region is defined to be where is the volume of . For instance, if is a density function, then is the average density of . Find the average value of the function over the cube with side length that lies in the first octant with one vertex at the origin and edges parallel to the coordinate axes.
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