1. Let B be the region inside the circle of radius 2 with center at the origin, above the cubic y = x and satisfying the inequality xy 0. Let C be the one enclosed by the lines y = x & y +1 = x & y = 1 & y = -1 Finally, let A be the region that results from joining B with C.

Make a sketch of the region A and find the coordinates of both the centroid of A and its boundary. Locate the centroids in your sketch.