A layer of viscous liquid of constant thickness flows steadily down an infinite, inclined plane, as shown below. Assume the liquid is Newtonian fluid, incompressible, and the flow is fully-developed. (a) Summarize, in your own words, what steps you would take to solve the problem (For example, first we make assumptions XX, YY, ZZ, then we use Equation LL; we can cancel out these terms in Equation LL based on assumption XX and ZZ, etc.). (b) Determine the velocity profile of the viscous liquid. Show how each assumption is used to simplify the Navier-Stokes equations. (c) Determine an expression of the liquid volumetric flow rate per unit width