Use the method of diskslrings to determine the volume of the solid obtained by rotating the region bounded by the given curves about the given axis. Problem # l Rotate the region bounded by y = 7 x2,x = 2,r.1mlx = Zuritl thex axis about the xaxis. Problem # 2 Find the Volume of the solid when the region bounded by y = 10 sin x, for D E x E H, is revolved about the x-axis. (Recall that sin2 :6 2 EU cos(2x)) Problem # 3 Let R be the region bounded by the following curves. Find the Volume of the solid generated when R is revolved about the xaxis. 3):.95'31r gazex, [11'1de EH3 Problem # 4 A force of FIX) = x2 cos(3x) + 2, acts on an object. What is the work required to move the object from x = 3 to x = 7