Sketch the region of the integral √ √ dy dx. Write an equivalent double integral with the order of integration reversed. Do not solve the integral. Find the area of the region bounded by the parabola x = 2y-y²+1 and the line y = x+1 For the volume of the region in the first octant shown in the adjacent Figure. It is bounded by the coordinates planes, the plane: y = 1-x, and the surface:z = cos(x/2), 0 ≤x≤1 Find the limits of integration for the two iterated integrals below: dz dx dy and fdy dz dx Then find the volume of this region by only one of the above two iterated integrals. y= 1−x