The cross section of a precast concrete beam for a building is bounded by the graphs of
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The cross section of a precast concrete beam for a building is bounded by the graphs of the equations
where x and y are measured in feet. The length of the beam is 20 feet (see figure).
(a) Find the volume V and the weight W of the beam. Assume the concrete weighs 148 pounds per cubic foot.
(b) Find the centroid of a cross section of the beam.
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