Write a matlab program for iterating over the dispersion equation using the Newton-Raphson method

b. Using the program calculate the length and the speed of propagation of the wave for

1 period T= 8 s and propagates at a depth of 16 m
2 period T= 8 s and propagates at a depth of 60 m
3 period T= 8 s and propagates at a depth of 1.4 m
 

Xn+1 = Xn f (xn) f'(Xn)