Consider a heavy cable hanging between two points, shown below The cable is assumed to lie in a plane. Here ' 3 is horizontal distance between lowest and highest point - Hp is hanging height - HE is vertical clearance The shape of the curve is described by the function f, given by f(x)=c+acosh(xfa) s<:c for constants c and a. the choice of axes is shown in gure. length curve given by l : that vertical clearance constant determine a hp s. compute all values at which height cable>