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Find the mass of the solid cylinder D={(r,θ,z):0≤r≤4,0≤z≤6} with density ρ(r,θ,z)=1+2z. Set up the triple integral usin
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Find the mass of the solid cylinder D={(r,θ,z):0≤r≤4,0≤z≤6} with density ρ(r,θ,z)=1+2z. Set up the triple integral usin
Find the mass of the solid cylinder D={(r,θ,z):0≤r≤4,0≤z≤6} with density ρ(r,θ,z)=1+2z. Set up the triple integral using cylindrical coordinates that should be used to find the mass of the solid cylinder as efficiently as possible. Use increasing limits of integration. ∫02π∫04∫06((1+2z)r)dzdrdθ The mass is (Type an exact answer, using π as needed.)
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