Replace the given loads with an equivalent force-couple system at o by specifying the resultant r and couple mo. Next, determine the equation for the line of action of the stand-alone resultant force r.

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 .

1. metals

2. metalloids only

3. nonmetals only

4. metals and metalloids

5. metalloids and nonmetals

i just took this assignment so this is correct