?A point P needs to be located somewhere on the line AD so that the total length L of

Chapter 4, Problem 75

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A point P needs to be located somewhere on the line AD so that the total length L of cables linking P to the points A, B, and C is minimized (see the figure). Express L as a function of x=|A P| and use the graphs of L and dL/dx to estimate the minimum value of L.

                                                     

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