A bucket that has a mass of 25 kg when lled with sand needs to be lifted to the top of a 1'0 meter tall building. You have a rope that has a mass of.4 kg-"m that must be secured to the bucket. It takes 1 meter of rope to secure the bucket. Once the bucket reaches the top of the building it onlyr has mass 14 kg because there was a hole in the bottom and sand Twas leaking out at a constant rate while it Twas being lifted to the top of the building. Find the work done liing the bucket {sand and rope} to the top of the building. Find the centroid of the region bounded by the graphs of the functions y = 61 , y = x- + 2 The centroid is at (@, y) where T = 7=