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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=0.3 x^2 ` and below the line ` y= 280 `. (Here, distances are measured in meters.) The water level is ` 26 ` meters below the top of the dam. Find the force (in Newtons) exerted on the dam by water pressure. (Water has a density of `1000 \ "kg"/"m"^3`, and the acceleration of gravity is `9.8 \ "m"/"s"^2` .)

 

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