3. A climber anchors a rope at two points of equal height, separated by a distance of 100 feet, in order to perform a Tyrolean traverse (you can Google it to see images). The rope follows the catenary f(x) = 200 cosh (₂) over the interval [-50,50]. Find the length of the rope between the two anchor points. Note: you will need to use one of the properties of hyperbolic functions to evaluate the integral.

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