Find the volume of the eolid generated by revolving the following region about the given axis. The region in the rst quadrant bounded above by the curve 3; =x2. below by the xaxis, and on the right by the line x: 1, about the line x: 3. V : (Type an exact answer, using 1: as needed.) Use the shell method to nd the volume of the solid generated by revolving the shaded region about the xaxis. The volume is E. (Type an exact answer, using 11 as needed.) Use the shell method to nd the volume of the solid generated by revolving the shaded region about the yaxis. The volume is |:. (Type an exact answer, using 11: as needed.) Find the volume ofthe solid generated by revolving the region bounded by y=1l1x - x2 and y = 3:: about the yaxis and about the line it = TI". What is the volume of the solid generated by revolving the region bounded by y =1x -x2 and y = 3): about the yaxis'? Volume = (Type an exact answer, using It as needed.) What is the volume of the solid generated by revolving the region bounded by y =1Dx x2 and y = 3): about the line x = 1'? Volume = E (Type an exact answer, using a: as needed.) Find the length of the following curve. If you have a grapher, you may want to graph the curve to see what it looks like. y = W/ N (x2+1) 3/2 from x = 0 to x = 3 The length of the curve is . (Type an exact answer, using radicals as needed.)3 Find the length of the curve x = on 3 sy $ 5. 4y 3 The length of the curve x = + 9 4y on 3 sy $5 is (Type an integer or a fraction, or round to the nearest tenth.)