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Need some clarification Agree that anR stands for the average value of f[x, y, 2] as {x, y, z} varies through a specied solid region

Need some clarification
Agree that anR stands for the average value of f[x, y, 2] as {x, y, z} varies through a specied solid region R in xyzspace. The formula for \"this I111 dxdydz How do you know that ava is a number that falls between the minimum value of f[x, y, z] on R and the maximum value of f[x, y, z] on R

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