Tractrix A person walking along a dock drags a boat by a10-meter rope. The boat travels along a path known as a tractrix.The equation of this path is y = 10 ln10 + 100 − x2x  − 100 − x2.(a) Use a graphing utility to graph the function.(b) What are the slopes of this path when x = 5 and x = 9?(c) What does the slope of the path approach as x approaches10 from the left?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
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Tractrix A person walking along a dock drags a boat by a
10-meter rope. The boat travels along a path known as a tractrix.
The equation of this path is

y = 10 ln10 + 100 − x2
x  − 100 − x2.
(a) Use a graphing utility to graph the function.
(b) What are the slopes of this path when x = 5 and x = 9?
(c) What does the slope of the path approach as x approaches
10 from the left?

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