Problem 5 Nonlinear Equations (10 pts) Lee and Duffy relate the friction factor for flow of a suspension of fibrous particles to the Reynolds number by the empirical equation: = (3) in{Re/8) + (14 - In their correlation, f is the friction factor, Re is the Reynolds number, and k is a constant determined by the concentration of the suspension. For a suspension with 0.07% concentration, k = 0.28. Determine the value of f for Re = 3750 using Newton-Raphson method, use a reasonable fo value. (2 iterations) Hint: The Darcy friction factor f for laminar flow of a suspension of fibrous particles is given by the formula f = 0, (Re