Use polar coordinates to find the centroid of the following constant-density plane region. The region bounded...

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Use polar coordinates to find the centroid of the following constant-density plane region. The region bounded by the cardioid r= 11 +11 cos 0. Set up the double integral that gives the mass of the region using polar coordinates. Use increasing limits of integration. Assume a density of 1. -?? m = dr de (Type exact answers.) Set up the double integral that gives M,, the plate's first moment about the y-axis using polar coordinates. Use increasing limits of integration. Assume a density of 1. My dr de (Type exact answers.) Set up the double integral that gives My, the plate's first moment about the x-axis using polar coordinates. Use increasing limits of integration. Assume a density of 1. Mx dr de (Type exact answers.) %3D The centroid is (Type an ordered pair.) Use polar coordinates to find the centroid of the following constant-density plane region. The region bounded by the cardioid r= 11 +11 cos 0. Set up the double integral that gives the mass of the region using polar coordinates. Use increasing limits of integration. Assume a density of 1. -?? m = dr de (Type exact answers.) Set up the double integral that gives M,, the plate's first moment about the y-axis using polar coordinates. Use increasing limits of integration. Assume a density of 1. My dr de (Type exact answers.) Set up the double integral that gives My, the plate's first moment about the x-axis using polar coordinates. Use increasing limits of integration. Assume a density of 1. Mx dr de (Type exact answers.) %3D The centroid is (Type an ordered pair.)

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