Assuming that we know only two things about the turbulent boundary layer over a flat 0.059 and the following one-fifth-power plate. They are the friction coefficient C.x=7 (Re 1/5 law approximation for the boundary layer profile shape: 1/5 = for y8 =1 for y>1. Using the definitions of the Karman integral equations, determine the variation with respect to x of: a) The displacement thickness. b) The momentum thickness. c) The boundary layer thickness.