Mathematics, 06.04.2021 05:00 Meirna
The average value of a function f(x, y, z) over a solid region E is defined to be fave = 1 V(E) E f(x, y, z) dV where V(E) is the volume of E. For instance, if is a density function, then ave is the average density of E. Find the average value of the function f(x, y, z) = 3x2z + 3y2z over the region enclosed by the paraboloid z = 4 − x2 − y2 and the plane z = 0.
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The average value of a function f(x, y, z) over a solid region E is defined to be fave = 1 V(E) E f(...
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