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Hyperbolic functions

  1. Oct 14, 2007 #1
    1. The problem statement, all variables and given/known data
    The Saint Louis arch can be approximated by using a function of the form y=bcosh(x/a). Putting the origin on the ground in the center of the arch and the y axis upward, find an approximate equation for the arch given the dimenson shown in the figure(attachment). In other words, find a and b

    3. The attempt at a solution

    my attempt was that since y=bcosh(x/a) is same as

    y= b-0.5a(e[tex]^{x/a}[/tex]+e[tex]^{-x/a}[/tex])

    I tried to plug in x entercepts and y intercepts and
    slove for the unknown, but it got so complicated and I
    couldn't find either a or b.
    i guess i have to find a different method.
    can anyone help?

    Attached Files:

  2. jcsd
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