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?
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?
Chapter2: Functions And Their Graphs
Section2.1: Linear Equations In Two Variables
Problem 100E: Geometry The length and width of a rectangular garden are 15 meters and 10 meters, respectively. A...
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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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