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Verify Unit length to y-axis from Tractrix Curve

  1. Feb 2, 2017 #1
    1. The problem statement, all variables and given/known data
    The problem is described in the picture I've attached. It is problem number 6.

    2. Relevant equations
    Tangent line of a curve
    Length of a curve

    3. The attempt at a solution
    I don't know why I'm so confused on what seems like it should be a relatively straightforward problem, but I am. I guess I would approach this problem by finding the tangent line at a point (say t=0) (though I forget the procedure to do that exactly) and then basically just show that the tangent line has length 1 from y = 0 basically?
    - Also would I just like subtract the two points (i.e., the point on the curve where there is a tangent line and then the y axis (y = 0)) or would it require the use of the formula for length namely the integral of the absolute value of the derivative of γ(t) from the y axis to the point on the curve?

    Any help with this would be greatly appreciated!
     

    Attached Files:

  2. jcsd
  3. Feb 2, 2017 #2

    LCKurtz

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    It would help if you would type the statement of the problem instead of posting an illegible image.
     
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