Traelrix A person inoves from the origin along the positive\-a\is pulling a weight at
Chapter 9, Problem 76(choose chapter or problem)
Traelrix A person inoves from the origin along the positive\-a\is pulling a weight at the end of a 12-meter rope. Initially,the weight is located at the point ( 12. 0).(a) In E.xeicise 75 ol Section 7.4. it was shown that the path ofthe weight is modeled by the rectangular equationwhere < a < 12. Use a graphing utility to graph therectangular equation.(b) Use a graphing ulililv to graph the parametric equationsA = 12 sech - and f - 1 2 tanh12where / > 0. How does this graph compare with the graphin part (a)? Which graph (if either) do you think is a betterrepresentation of the path '(c) Use the parametric equations lor the tractri.\ to verify thatthe distance from the y-intercept of the tangent line to thepoint of tangency is independent of the location of the pointof tangency.
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