6. (This item has four parts.) Let R be the region enclosed by the graphs of y = 3:2 and the line 3: + y = 2. Sketching the graphs of the equations may help. (a) (3 points) Find (algebraically) the points of intersection of the graphs of y = 332 and m+y=2 (b) Find the area of R. (c) Set-up only the denite integral, having a: as the variable of integration, that will give the volume of the solid of revolution obtained by revolving R about the line y = 4. (d) Set-up only the denite integral that will give the volume of the solid of revolution obtained by revolving R about the line as = 2 using the method of cylindrical shells