The data below describe a cross-section of an airfoil where the points ( X , Y u ) define the upper surface and the points ( X , Y e ) describe the lower surface. (a) Draw the airfoil by fitting cubic...

The data below describe a cross-section of an airfoil where the points (X,
Y_u
) define the upper surface and the points (X,
Y_e
) describe the lower surface.

(a) Draw the airfoil by fitting cubic splines separately to the upper and lower surfaces, and then plotting the results as a single figure. To make it look like an airfoil you will probably need to resize the plot window.

(b) Redo (a) but use global polynomial interpolation instead of splines.