3. (Sections 13.113.5) Let R be the triangle in IR2 with vertices [1= 1), (2,3) and (4, 2). (a) Sketch the region R. Find the points of intersection of the line and the circle and indicate them on your sketch. (4) (b) Is R a Type I region? If yes, describe it as a Type I region. If not, describe it as a union of Type I regions. Use set builder notation. (3) (c) Is R a Type II region? If yes, describe it as a Type II region. If not, describe it as a union of Type II regions. Use set builder notation. (3) (d) Calculate the integral / f :r + y (Mr R i. by using the order of integration dy d1: ii. by using the order of integration d3: dy. (8]