A lever is 3.2 m long. The distance from the fulcrum to the underside of a boulder to be lifted is 1.4 m. If a farmer pushes on the opposite end with 350 N, what is the maximum force that is applied to the boulder

The value is        

Explanation:

From the question we are told that

    The force applied at the other end is  

    The length of the lever is  

     The distance from the fulcrum to  the underside of a boulder is

      The distance from the fulcrum to the point where the farmer applied the force is  

=>        

Generally at equilibrium the net torque experienced by the lever is  0 and this is mathematically represented as

Here W is the maximum force applied to the boulder by the lever

So

=>      

=>              

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 .