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2. (20 points) Consider the cone V whose base is the unit disk in the xy-plane and whose height is 1, along +z-axis, as
2. (20 points) Consider the cone V whose base is the unit disk in the xy-plane and whose height is 1, along +z-axis, as shown below. The dimensions are measured in meters. 1.0 0.5 -1.0 -0.5 1.0 -8:50 0.0 1.0 0.5 1.0 The cone is made out of a material of variable density: at a point (x, y, z), the density will be 8(x, y, z) = 100(x + y) kilograms per cubic meter. Compute the total mass of this cone, in kilograms (Hint: the total mass will be the integral of the density over all of V.)
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