Combine the sum of two double integrals xydydx+xy dydx into a single double integral by converting to polar coordinates. Evaluate the resulting double integral First precisely graph the region of integration. Find the volume of the solid in the first octant bounded above by the cone z = below by Z = 0. and laterally by the cylinder X2 + y2 =2y. Use polar coordinates. First precisely graph the region of integration. Evaluate the iterated integral dxdy by first reversing the order of integration Find the centroid (center of mass) of the region that is enclosed between y =[x] and y=4 First, precisely graph the region of integration. Given the triple integral f(x,y,z)dzdydx rewrite the integral in five remaining orders of integration. First, sketch the solid as precisely as possible and then graph three projections to the coordinate planes.. .) The solid enclosed by the surface Z = 1 - y2 (assume y > 0) and the planes z = 0,.x = -1, x = 1 has density Delta (x,y,z) = yz. Find the center of mass of the solid
