A person moves from the origin along the positive y-axis pulling a weight at the end of
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A person moves from the origin along the positive y-axis pulling a weight at the end of a 12-meter rope (see figure). Initially, the weight is located at the point (12, 0).
(a) Show that the slope of the tangent line of the path of the weight is
(b) Use the result of part (a) to find the equation of the path of the weight. Use a graphing utility to graph the path and compare it with the figure.(c) Find any vertical asymptotes of the graphs in part (b).(d) When the person has reached the point (0, 12), how far has the weight moved?
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Related Book For
Calculus Of A Single Variable
ISBN: 9781337275361
11th Edition
Authors: Ron Larson, Bruce H. Edwards
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