Question: task curve (tractrix)

I have a curve Tractrix: x(t)=1/cosht,y(t)=t-tanht

how I do?

  • Find the length of the tangent line from the tangent point to the asymptote
  • find the area between the curve and its asymptote
  • find the length of the curve from x-axis to a point on the curve
  • find the slope of the tangent line at any point along the curve

I hope you can help , its very important to me


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