c Please establish the mcan value theorem for integrals. That is,suppose f is continuous on a region , and that between any two points in there is a smooth path between them.Prove that there exists a ce so that fnfdV=f(cvol(. dLet A be an nx n matrix withijentry equal to a.Prove|A||/a eLet A be an n Xn matrix with i,entry equal to aj.Prove |A|