Solved: Road Design Roads are often designed with parabolic surfaces to allow rain to

Chapter 10, Problem 62

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Road Design Roads are often designed with parabolic surfaces to allow rain to drain off. A particular road that is 32 feet wide is 0.4 foot higher in the center than it is on the sides (see figure). (a) Find an equation of the parabola with its vertex atthe origin that models the road surface.(b) How far from the center of the road is the roadsurface 0.1 foot lower than in the middle?

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