Sports Some football fields are built in a parabolic mound

Chapter , Problem 2.4.60

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Sports Some football fields are built in a parabolic mound shape so that water will drain off the field. A model for the shape of a certain field is given by h(x) = -0.0002348x2 + 0.0375x where is the height, in feet, of the field at a distance of x feet from one sideline. Find the maximum height of the field. Round to the nearest tenth of a foot. xh(x) = 0.0002348x2 + 0.0375x

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