A hydraulic press has one piston of diameter 4.0 cm and the other piston of diameter 8.0 cm. What force must be applied to the smaller piston to obtain a force of 1600 N at the larger piston

The  force is

Explanation:

From the question we are told that

   The first  diameter is  

   The second diameter is  

Generally the first area is  

=>      

=>      

The  second area is  

For a hydraulic press the pressure at both end must be equal .

Generally  pressure is mathematically represented as

=>  

=>  

=>    

. west

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 .