Question
rage Value of
Кх, у, 2)
fave =
(х, у, 2) dv
where V(E) is the volume of E. For instance, if p is a density function, then Pave is the average density of E.
ind the average value of the function f(x, Y, z) = 5x²z + 5y²z over the region enclosed by the paraboloid z = 9 – x² - y2 and the plane z = 0.
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Transcribed Image Text

rage Value of Кх, у, 2) fave = (х, у, 2) dv where V(E) is the volume of E. For instance, if p is a density function, then Pave is the average density of E. ind the average value of the function f(x, Y, z) = 5x²z + 5y²z over the region enclosed by the paraboloid z = 9 – x² - y2 and the plane z = 0.