Asteel cable is used to support an elevator cage at the bottom of a 2000-ft-deep mineshaft. a uniform normal strain of 290.0 in./in. is produced in the cable by the weight of the cage. at each point, the weight of the cable produces an additional normal strain that is proportional to the length of the cable below the point. assume d = 2000 ft and d = 300 ft. if the total normal strain in the cable at the cable drum (upper end of the cable) is 500 in./in., determine (a) the strain in the cable at a depth of 300 ft. (b) the total elongation of the cable.

i think the answer is a, hope this : )

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .