A simply supported 20-foot beam supports a uniformly distributed load of 1000 pounds per foot. The bending

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A simply supported 20-foot beam supports a uniformly distributed load of 1000 pounds per foot. The bending moment M (in foot-pounds) x feet from one end of the beam is given by M = 500x(20 − x).
(a) Where is the bending moment zero?
(b) Use a graphing utility to graph the equation?
(c) Use the graph to determine the point on the beam where the bending moment is the greatest?
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