Evaluate the displacement thickness \(\delta^{*}\) and the momentum thickness \(\theta\) for a power law velocity profile given by \(\frac{u}{U}=\left(\frac{y}{\delta}\right)^{1 / 7}\). Plot the nondimensional velocity profile and show the thicknesses \(\frac{\delta^{*}}{y}\) and \(\frac{\theta}{y}\) on the plot. Does this expression satisfy the boundary conditions applicable to a laminar boundary layer?