A person walking along a dock drags a boat by a 10-meter rope. The boat travels along a path known as a tractrix (see figure). The equation of this path is

(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?

Transcribed Image Text:

y= 10 In 10+ 100x² X - 100x².