catenary

logistic_guy

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Calculate the arc-length of the catenary γ(t)=(t,cosht)\displaystyle \gamma (t)=(t, \cosh t) starting at the point (0,1)\displaystyle (0, 1). This curve has the shape of a heavy chain suspended at its ends – see Exercise 2.2.4\displaystyle 2.2.4.
 
Calculate the arc-length of the catenary γ(t)=(t,cosht)\displaystyle \gamma (t)=(t, \cosh t) starting at the point (0,1)\displaystyle (0, 1). This curve has the shape of a heavy chain suspended at its ends – see Exercise 2.2.4\displaystyle 2.2.4.
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