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Average Value of a Function and Length of Path

1) Find the average value of the function f(x, y, z) = 1/(x^2 + y^2 + z^2) over the region where x^2 + y^2 + z^2 is greater than or equal to 1 and less than or equal to 4.

2) Find the length of the path in R^2 that in polar coordinates r, theta is given by r(t) = 2t, theta(t) = t, and t is greater than or equal to 0 and less than or equal to 3.

keywords: integration, integrates, integrals, integrating, double, triple, multiple

Solution Summary

Average Value of a Function and Length of Path are determined. The solution is detailed and well presented.

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