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A cable hangs between two poles of equal height and 26 feet apart. Set up a coordinate system where the poles are placed at x=13 and x=13, where x is...

A cable hangs between two poles of equal height and 26 feet apart. Set up a coordinate system where the poles are placed at x=−13 and x=13, where x is measured in feet. The height (in feet) of the cable at position x is

h(x)=12cosh(x/12)

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

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