Question

Question 2)

Suppose that you have a well that is 150 feet deep. Attached to the top of the
well is a 100 ft rope that weighs 15 lbs. Attached to the bottom of the rope is a 50 ft chain that
weighs 40 lbs. Attached to the bottom of the chain is a bucket that weighs 5 lbs and is currently
filled with 10 lbs of water. You lift the bucket (and rope and chain) up the well at a speed of 2
ft/sec. Unfortunately, the bucket leaks at 1 5 lb/sec. Write down but DO NOT EVALUATE an
integral for the work necessary to lift all of these things to the top of the well. (Hint: You will need
to consider FOUR separate components here for the work)

Quesiton 3

Determine the AREA of the region created by y = abs(x^2-1) and y = 3.

Answer 1