1. Bessel functions often arise in engineering analysis such as the study of electric filters. The following table provides 4 uniformly spaced samples for the zero-order Bessel function of the first kind. X J1(x) 1.8 0.5815 2.0 0.5767 2.2 0.5560 2.4 0.5202 generate the third-order Newton's interpolating polynomial. Use the newtintr function to interpolate at x = 2.1. Validate your answer using Matlab's polyfit and polyval functions.

Fig: 1