Solved: Lets consider the problem of designing a railroad track to make a smooth

Chapter 13, Problem 56

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Lets consider the problem of designing a railroad track to make a smooth transition between sections of straight track. Existing track along the negative -axis is to be joined smoothly to a track along the line for . (a) Find a polynomial of degree 5 such that the function defined by is continuous and has continuous slope and continuous curvature. ; (b) Use a graphing calculator or computer to draw the graph of .

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