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A cable hangs between two poles of equal height and 28 feet apart. Set up a coordinate system where the poles are placed at x=-14 and x=14, where x is measured in feet. The height (in feet) of the cable at position x is

h(x)=14cosh(x14)

where cosh(x)=(ex+e-x)2 is the hyperbolic cosine, which is an important function in physics and engineering.

 

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