A bucket that weighs 4 lb and a rope of negligible weight are used to draw water from a well 80 ft deep. The bucket is filled with 40 lb of water and is pulled up at a rate of 2 ft/sec, but water leaks out ot the bucket at a rate of .2 lb/sec. Find the work done in pulling the bucket to the top of the well.
Before I integrate I have: 4 + (40-.1x), now I integrate this on the interval a=0,b=80 is this correct?
Before I integrate I have: 4 + (40-.1x), now I integrate this on the interval a=0,b=80 is this correct?