Question: Find the average value of the function over the given solid. The average value of a continuous function (x, y, z) over a solid region

Find the average value of the function over the given solid. The average value of a continuous function ƒ(x, y, z) over a solid region Q is

#fff f(x, y, z) dv

where V is the volume of the solid region Q.

ƒ(x, y, z) = x + y over the solid bounded by the sphere
x² + y² + z² = 3

#fff f(x, y, z) dv

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