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SOLVED:50 Catenary Curves A chain (or cable) of uniform density that is suspended between two points, as shown in the figure, hangs in the shape of a curve called a catenary with equation y=a cosh(x / a) . (a) Find the arc length of the catenary y=a cosh(x / a) on the interval [c, d]. (b) Show that on any interval [c, d], the ratio of the area under the catenary to its arc length is a.
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