MATLAB answers only

9.5.1. Compute the trigonometric interpolant of the following functions on-13 x S 1, using N 2n+1 nodes with n 2,4,8, 16. Plot the interpolants and the original function on the same plot using 500 evenly spaced points. Compute and plot the absolute error of the interpolants on 500 evenly spaced points; it may be helpful to use a semi-log scale. (a) f(x)= esin(m). (b) f(x) log[2+cos(3Tx)] (c) f(x)=cos"(m) 9.5.1. Compute the trigonometric interpolant of the following functions on-13 x S 1, using N 2n+1 nodes with n 2,4,8, 16. Plot the interpolants and the original function on the same plot using 500 evenly spaced points. Compute and plot the absolute error of the interpolants on 500 evenly spaced points; it may be helpful to use a semi-log scale. (a) f(x)= esin(m). (b) f(x) log[2+cos(3Tx)] (c) f(x)=cos"(m)