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.