Develop a function which receives $\backslash$xi $,\backslash$omega n$,$ t$\_$data, and x$\_$data as input arguments and calculates

the following error function:

Where N is the length of the measured data, xdata is the provided output data in the excel file, and

xsim is the simulated output through the provided equation.

function e$\_$rms $=$ CalcRMSError $($zeta$,$ wn$,$ t$\_$data, x$\_$data$)$

$...$

e$\_$rms $=...$ Calculate function output

b$.$ Write a short script that calculates the RMS error using your developed function for the

estimated values of $\backslash$xi and $\backslash$omega n from Problem $1.$b$.$ Report the value of the RMS error.

c$.$ Carry out a brute force neighborhood search process for finding the values of $\backslash$xi and $\backslash$omega n which

makes the error function output as small as possible. For this, use double $$for$$ loops, one for $\backslash$xi

and one for $\backslash$omega n$.$ Set the range to be $\backslash$pm $20\%$ of the values you guessed in Problem $1.$b: