The trough in the figure below is full of water. a = 5 feet, b = 17 feet, and c = 2 feet. The density of water is 62.4 lbs/ft3 . Let h represent the distance from the bottom of the trough. A) Describe what you are slicing, and how you are slicing it. Give a short statement on why you sliced in the direction you did. B) Include a clearly labeled figure of the trough and a representative slice. C) Include all relevant steps in deriving an integral representing the work to pump all the water over the top of the trough.