Plot the local friction coefficient \(c_{f}\), the boundary layer thickness ratio \(\delta / x\), and the drag coefficient \(C_{f}\), for both laminar and turbulent boundary layers on a flat plate for \(\mathbf{R}_{x}\), from 0 to 500,000 , assuming in the turbulent case that the layer is tripped at the leading edge and is fully turbulent along the length of the plate. Discuss the ratio of drag forces as a function of \(\mathbf{R}_{x}\).