Tractrix A person moves from the origin along the positivey-axis pulling a weight at the

Chapter 7, Problem 75

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Tractrix A person moves from the origin along the positivey-axis pulling a weight at the end of a 12-meter rope (seefigure). Initially, the weight is located at the point (12. 0).(a) Show thai the slope of the tangent line of the path of theweight isdvd.\ X (bi Use the result in part (a) to find the equation of the path ofthe weight. I'se a graphing utility to graph the path andcompare it with Ihe Hgure.(c) Find any \ertical asymptotes of the graph in part (b).(d) When the person has reached the point (0, 12). how far hasthe wemht moxed .'

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