The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve y = 03:132 and below the line y = 140. (Here, distances are measured in meters.) The water level is 30 meters below the top of the dam. Find the force (in Newtons) k exerted on the darn by water pressure. (Water has a density of 1000g3, and the acceleration m m of gravity is 9.82 .) sec '1211004869