Use cylindrical coordinates to evaluate the triple integral ?_E ?(x² + y²) dV, where E is the solid bounded by the circular paraboloid z = 4 - 16(x² + y²) and the xy-plane.
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Since the solid is bounded by the circular paraboloid z = 4 - 16(x^2 + y^2) and the xy-plane, we can set up the following inequalities: 0 ≤ ρ ≤ 2 0 ≤ θ ≤ 2π 0 ≤ z ≤ 4 - 16ρ^2 Show more…
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