2) 3) 4) 5) 6) A 28-foot chain with a weight density of 2 lb/ft is hanging from the roof of a building. How much work is required to pull the chain up onto the top of the building? A rectangular swimming pool 50 ft long, 20 ft wide, and 10 ft deep is led with water to a depth of 9 ft. Find the work required to pump all of the water out over the top. For each improper integral, determine if it converges or diverges. If it converges, nd its value. a) fidx b) fix"3w c) j'%dx 1 e 1 1 x d) jMWx e) "f Sin") dx 0 x mm dy Solve the differential equation: a = xcos(x) + 5 . A car traveling at 60 feet per second slows down with acceleration a(t) = 15 ft/s2 . Find functions for the velocity and position of the car