Sag vertical curves Refer to Exercise 63. Valleys or dips in highways are referred to as

Chapter 2, Problem 2.6.64

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Sag vertical curves Refer to Exercise 63. Valleys or dips in highways are referred to as sag vertical curves. Sag vertical curves are also modeled using parabolas. Two roadways with different grades meeting at a sag curve need to be connected. 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 linear between D and E. (a) Find a piecewise-defined function f that models the roadway between the points A and E.(b) Graph f in the viewing rectangle by .

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