Tractrix Consider the equation of the tractrix , (a) Find (b) Let be the tangent line to
Chapter 5, Problem 97(choose chapter or problem)
Consider the equation of the tractrix
\(y=a \operatorname{sech}^{-1}(x / a)-\sqrt{a^{2}-x^{2}}, \quad a>0\).
(a) Find dy/dx.
(b) Let L be the tangent line to the tractrix at the point P. When L intersects the y-axis at the point Q, show that the distance between P and Q is a.
Text Transcription:
y=a sech^-1(x / a)-sqrt a^2-x^2, a>0
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