Acable hangs between a street pole and a house that are 3 m apart. the height of the cable above the ground is approximated by the function f(x) = cosh(x) + 3, with the lowest point 1 m from the house and 2 m from the pole. use the arc length integral to compute the length of the chain. you do not have to use the riemann sum approach to construct the integral formula; just use it.

The arc length integral takes complex values.

Step-by-step explanation:

This function has a minimun in .

Then we can estimate that the pole is 2 m at the left of , in , and the house, 1 m at the rigth: .

The arc length we have to calculate goes from to

The arc length integral equation is:

that is derived from the Riemann's sum

To compute we derive :

The function in the range of x between x=-1 to x=0 takes complex values that prevent calculating the sum or the integral within the scope of the real values.