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2 20 points Consider the cone V whose base is the unit disk in the...

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Calculus

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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 shown below The dimensions are measured in meters 1 0 1 0 0 5 8 50 Z 0 5 1 0 0 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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