Please complete number 11 and show work :)
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Please complete number 11 and show work :)
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- D1 ={(x, y, z) : x^2 + y^2 + z^2 ≤ 4 , z ≥ 0}, D2 ={(x, y, z) : −4 + x^2 + y^ Let D =D1∪D2, with 2≤ z ≤0}. Density at each point (x, y, z) in D1 δ = δ(x, y, z) = e^(x^2+y^2+z^2)^3/2 and D2What is the mass of object D if the density on the set δ = δ(x, y, z) = x2 + y2S is a solid in the first octant that is bounded by z = x2 + y2 and the following planes: z = 2, y = x, and x = 0. S has a density function d(x,y,z) = 2z(x2 + y2). Find the mass of S using cylindrical coordinates.Let Z ∼ N(0,1) and Y = Z1/3 (a) Find the density function (pdf) of Y . b) FindP (Y> (1/4)^1/3))