Calc 4: Double Integrals Please show work so that I can learn material. Thanks!

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Calc 4: Double Integrals

Please show work so that I can learn material. Thanks!

Find the centroid of the region bounded by: y = 6x2 + 9x, y = 0, x = 0, and x = 2 Electric charges is distributed over the disk x2 y2 19 so that the charge density at (x, y) is sigma (x, y) = 7 + x2 + y2 coulombs per square meter. Find the total charge on the disk A lamina occupies the part of the disk x2 + y2 9 in the first quadrant and the density at each point is given by the function rho (x, y) = 4(x2 + y2). Find the mass of the rectangular region 0 x 1, 0 y 2 with density function rho(x, y) = 2 - y.

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