The average value of a function f (x, y, z) over a solid region E is defined
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The average value of a function f (x, y, z) over a solid region E is defined to be![1 fave V(E) J] F(x, y, z) dV](https://dsd5zvtm8ll6.cloudfront.net/si.question.images/images/question_images/1553/1/8/9/9805c93cc5c560761553172746426.jpg)
where V(E) is the volume of E. For instance, if p is a density function, then pave is the average density of E.
Find the average value of the function f (x, y, z) = xyz over the cube with side length L that lies in the first octant with one vertex at the origin and edges parallel to the coordinate axes.
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VE L fave L L K K K ...View the full answer
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