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azurecrab717Lv1
13 Mar 2020
Show how to approximate the required work done by a Riemann sum. Then express the work as an integral an evaluate it.
A bucket that weighs 4 lb and a rope of negligible weight are used to draw water from a well that is 80 ft deep. The bucket is filled with 40 lb of water and is being pulled up at a rate of 2 ft/s, but water leaks out of a hole in the bucket at a rate of 0.2 lb/s. Find the work done in pulling the bucket to the top of the well.
Show how to approximate the required work done by a Riemann sum. Then express the work as an integral an evaluate it.
A bucket that weighs 4 lb and a rope of negligible weight are used to draw water from a well that is 80 ft deep. The bucket is filled with 40 lb of water and is being pulled up at a rate of 2 ft/s, but water leaks out of a hole in the bucket at a rate of 0.2 lb/s. Find the work done in pulling the bucket to the top of the well.
Elin HesselLv2
22 May 2020
