Write the electric field at point P in component form. Assume that xx-axis is horizontal and points to the right, and yy-axis points upward. Express your answer in terms of the variables Q, L, unit vectors i^, j^ and appropriate constants.

current flows in a wire

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 .