Assume we have to accommodate 25 million books, each of which has 96 billion characters. if each character can be written using 100atoms, and if the bulk atoms can be used, calculate the size of an object (in nanometers) that can accommodate all the 25 million books. assume one atom occupies a space which is 0.17 nm in size.

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 .

there are no contact forces mentioned on the list of choices that you've provided.