need help with question 6 .please follow the directions from points (i)- (v)

s you must show the following cicarry (i) sketch, (ii) find the intersection(s) of graphs algebraically, (iii) if you use disk method, you must state thickness & radius clearly, (iv) if you use washer method, you must state thickness & outer radius & inner radius clearly, (v) if you use cylindrical shell method, you must state thickness & radius & height clearly. 1. (6 pts) Consider the region(s) enclosed by the curves: f(x) =3+2x-x , x-axis, and find its area. 2. (6 pts) Consider the region(s) enclosed by the curves: g(y) =3-y, x= -1, and find its area. 3. (10 pts) Consider the region(s) enclosed by the curves: y = 4x+3, y=6-x-2x, x=2, and find its area. 4. (6 pts) Find the volume of the solid obtained by rotating the region bounded by the curves: y = Vx, y= 3, and x = 0 about the y-axis. Use disk or washer method. 5. (10 pts) Find the volume of the solid obtained by rotating the region bounded by the curves: y = 2x+1, y = 3, and x =4 about the x-axis. Use disk or washer method. 6. (6 pts) Find the volume of the solid obtained by rotating the region bounded by the curves: y = 4x and y = x about the y-axis. Use cylinder method and consider only x20