Question 3

Let R be the region in the first quadrant bounded by the graphs of y =2 - x (red), y = (green), and the y-axis (see graph given). (a) Find the volume of the solid generated by revolving R about the y-axis using the shell method. Sketch the region together with an appropriately labeled representative strip. (b) Find the volume of the solid generated by revolving R about the x- axis using the washer method. Sketch the region together with an appropriately labeled representative strip