SOLVE Q$4$ ONLY, Please. should be solved using Matlab $($or Octave Online$)\mathrm{.}3.$ Write a program to estimate the root of f$($c$)$ using the false$-$position method and generate a table similar to the one shown below. Repeat iterations until the approximate error becomes less than $0\mathrm{.}5\%.[10\%]$ f$($c$)=667\mathrm{.}38/$c$(1-$e$^-0\mathrm{.}146843$ c$)-404.$ Repeat exercise $3$ using the Secant method. Repeat iterations until the approximate error becomes less than $0\mathrm{.}1\%.[10\%]$ a$.$ Which method is better? Secant or False$-$position?Write a program to find the integral of $f(x)$ using multiple application of the

Simpson's $\frac{1}{3}$ rule and generate the table and graph shown below: $[20\%]$

$f(x)=0\mathrm{.}2+25x-200x^2+675x^3-900x^4+400x^5$

$I={\displaystyle \underset{0}{\overset{0\mathrm{.}8}{}}}f(x)dx$

$[n,h,$I rel. err.

$1,0\mathrm{.}80000000000000,0\mathrm{.}36266666666674,0\mathrm{.}77893368010399$

$4,0\mathrm{.}20000000000000,1\mathrm{.}62346666666667,0\mathrm{.}01040312093628$

$16,0\mathrm{.}05000000000000,1\mathrm{.}64046666666666,0\mathrm{.}00004063719116$

$64,0\mathrm{.}01250000000000,1\mathrm{.}64053307291667,0\mathrm{.}00000015873903$

$256,0\mathrm{.}00312500000000,1\mathrm{.}64053333231607,0\mathrm{.}00000000062008$

$1024,0\mathrm{.}00078125000000,1\mathrm{.}64053333332939,0\mathrm{.}00000000000241$

$4096,0\mathrm{.}00019531250000,1\mathrm{.}64053333333319,0\mathrm{.}00000000000009$

$16384,0\mathrm{.}00004882812500,1\mathrm{.}64053333333385,0\mathrm{.}00000000000031]$