UIZ # 2 Problems 1. The area enclosed between y=x 2 +2 and y=3 is revolved about the horizontal line y=3 to form a solid. Calculate the volume. (Hint: Disks) 2. Let R be the region between the graphs of f (x) and g(x) on the given interval. Find the volume V of the solid obtained by revolving R about the x- axis, where and [0, 4]. Hint: Solids with Holes x 2 f ( x) x 3 g ( x) 3x 1 3. Find the arc length of the curve 2 y x3/ 2 2 3 over the interval [1, 8] 5. Find the area of the surface generated by revolving about the x-axis the curve on . [1, 0] f ( x ) 2 1 x 6. Find the area of the surface generated by revolving about the x-axis the curve on . [0, 2 ] 1 y x3 3