Assessment (Portfolio Week 9): Problem Solving Exercise Submit your answers to these questions on your Week 10 workshop day 8. NACA airfoils (from the National Advisory Committee for Aeronautics, predecessor of NASA) are parametriced by two functions fu(x) and fi(x) representing the upper and lower surfaces of an airfoil cross-section, respectively. These functions can be expressed as fu,L(x) = Ta . 9(x), x E [0, 1], where 0 is a vertical scaling parameter, a is a vector of constant parameters, and o (x) is a vector collecting a number of pre-defined functions of x: X P(x) = x 2 For example, the so-called no012 symmetric airfoil assumes