When engineers plan highways, they must design hills so as
Chapter 3, Problem 57(choose chapter or problem)
When engineers plan highways, they must design hills so as to ensure proper vision for drivers. Hills are referred to as crest vertical curves. Crest vertical curves change the slope of a highway. Engineers use a parabolic shape for a highway hill, with the vertex located at the top of the crest. Two roadways with different slopes are to be connected with a parabolic crest curve. The highway passes through the points , , , , and , as shown in the figure. The roadway is linear between A and B, parabolic between B and D, and then linear between D and E. Find a piecewisedefined function f that models the roadway between the points A and E.
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