Solved: Average value Find the following average

Chapter 12, Problem 39E

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QUESTION:

Average value Find the following average values.

The average temperature in the box \(D=\{(x, y, z): 0 \leq x \leq \ln 2, 0 \leq y \leq \ln 4,0 \leq z \leq \ln 8\}\) with a temperature distribution of \(T(x, y, z)=100 e^{-x-y-z}\)

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QUESTION:

Average value Find the following average values.

The average temperature in the box \(D=\{(x, y, z): 0 \leq x \leq \ln 2, 0 \leq y \leq \ln 4,0 \leq z \leq \ln 8\}\) with a temperature distribution of \(T(x, y, z)=100 e^{-x-y-z}\)

ANSWER:

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