39. The shape of a asymmetric four-digit series NACA airfoil is described by the equations:

where the subscripts U and L corresponds to the upper and lower airfoil surface, respectively. yt is half the thickness of the foil given by:

where c is the cord length, t is the maximum thickness (as a fraction of the cord length), and x is the position along the cord. yc is the coordinate of the camber line given by:

for , and for where m and p are constants. The angle is given by:

for , and for

. Plot the airfoil shown in the figure (NACA 4412) for which

, , , and m.