1.   Use the disk (or washer) method to find the volume of t…

1.   Use the disk (or washer) method to find the volume of the solid obtainedby rotating the region bounded by the graphs  and   about the line .  You must sketch the boundedregion and an arbitrary disk or washer to receive full credit.   2.    Use the shell method to find the volume of the solid obtainedby rotating the region bounded by the graphs  and   about the line . You must sketch the boundedregion and an arbitrary shell to receive full credit.   3.  A bucket weighing 5 lbs and holding 50 lbs of water is suspended by a rope weighing 0.1 lb/ft in a well 15 ft deep.  If the water is leaking out at a rate of 1 lb per sec and the bucket is raised at the rate of 0.5 ft/ sec, how much work is necessary to bring the bucket of water to the top?     4. Evaluate