1 (a) 2-D graph

1 (a) and (b) answers need to match.

Given the planar region D bounded by: y = x . y = 6 . y = 6x ( Note : D can be thought of as a thin plate with uniform mass density of 1. ) 1 . (a) Graph the region D , and compute and label the intersection points. Then compute the area of the region D using geometry. y MM&-Lhah~n-IOO 0 (b) Compute the area of the region D by setting up and evaluating an iterated integral, starting with : A2\" 2. Compute the centroid / center of mass (x, y) of D by setting up and evaluating two iterated integrals , starting with : x = SS (x) dA and y = SSp (y) dA3. Compute the moment of inertia about the z-axis/origin in the xy-plane for the region D by setting up and evaluating an iterated integral, starting with the double integral : (x2 + y2) dA D