Show that the fermi energy for nonrelativistic electrons (treated as if they do not interact with each other) confined in the two-dimensional square box is given by h2n ef= l2 where n is the number of electrons, l is the length of the side of the square, and m is the mass of an electron such confinement to a plane happens, for example, for electrons in the layered materials that are used to make high-temperature superconductors

b. lifting dumbbell weight at 20-degree angle from the body after a 45-degree angle

watch you tube or play clash royale, mainly clash royale

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 .