4. A proposed approximate velocity profile for a boundary layer is a 3rd order polynomial: * = Co+Cn + Cam? + C33 where n = y/8 A) Does this profile satisfy the same boundary conditions as the 2nd order polynomial we solved in class? B) What additional condition is satisfied by the 3rd order polynomial at y = 0 which is also satisfied by the 2nd order form? C) Determine the constants Co. C1, C2, and C3 D) What pressure gradient dp/dx is implied by this profile? E) Determine the boundary layer thickness 6/x as a function of length F) Evaluate the momentum thickness G) Evaluate the displacement thicknesses H) Determine the skin friction coefficient Cf as a function of length. (35 points)