Solve the following function for x$=1\mathrm{.}37$ by writing codes in MATLAB for each of the following cases:

a$)$ Calculate the analytical result by simply placing x$=1\mathrm{.}37$ to the function in MATLAB. Provide the result with "format longG" to have long format without trailing zeros$).$ Do not round off anything during the solution for this case.

Assign the result for to the variable $"$y$\_$true$\_$long".

b$)$ Provide the analytical result with $3$ significant digits. Use round command in MATLAB for this purpose with "significant" defined $($i$.$e$.,$ y$\_$true$\_$rounded$3=$ round$($y$\_$true$\_$long,$3,$"significant"$))$

Calculate the absolute true percent relative error between this result and the analytical result calculated in a$).$ Round it to $3$ significant digits. Assign it to the variable "rel$\_$error$\_$b$\_$rounded$3".$

c$)$ Calculate the analytical result by rounding each term individually to $3$ significant digits with $($round$)$ function in MATLAB.

For this purpose, calculate term$1=$ and round it to $3$ digits for x$=1\mathrm{.}37.$ Separately, calculate term$2=$ and round it to $3$ digitsfor x$=1\mathrm{.}37.$ Separately, calculate term$3=$ and round it to $3$ digitsfor x$=1\mathrm{.}37.$ Then, use with all rounded results to obtain the final result, and assign it to y$\_$c$.$ Round the final result to $3$ significant digits by y$\_$c$\_$rounded$3=$ round$($y$\_$c$,3,$"significant"$)$

For display purposes, use num$2$str to control the exact display of a number as a string with $3$ significant digits. Assign it to the variable $"$y$\_$c$\_$rounded$3\_$disp".

Calculate the true percent relative error between this result $($y$\_$c$\_$rounded$3)$ and the analytical result calculated in a$)$ as $"$y$\_$true$\_$long". Round it to $3$ significant digits. Assign it to the variable "rel$\_$error$\_$c$\_$rounded$3".$

d$)$ Write the same function as $.$ This is actually the same as the function above. Round each term individually to $3$ significant digits to get the result also in $3$ significant digits in this new function form.

For this purpose, calculate term$1=$ x$-7$ and round it to $3$ significant digits with $($round$)$ function. Seperately, multiply this result by x and sum $8($i$.$e$.($term$1*$x$)+8)$ and round it to $3$ significant digits with $($round$)$ function. Then, multiply term$2$ by x $($i$.$e$.,$ term$3=$ term$2*$x$)$ and round it to $3$ significant digits with $($round$)$ function. Finally, subtract $0\mathrm{.}35$ from the last term $($i$.$e$.,)$ and round the final result with $($round$)$ function. Assign the rounded final result to $"$y$\_$d$\_$rounded$3".$

For display purposes, use num$2$str to control the exact display of a number as a string with $3$ significant digits. Assign it to the variable $"$y$\_$d$\_$rounded$3\_$disp".

Calculate the true percent relative error between this result $($y$\_$d$\_$rounded$3)$ and the analytical result calculated in a$)$ as $"$y$\_$true$\_$long". Assign it to the variable "rel$\_$error$\_$d$".$

e$)$ Write an if statement to determine which rounding approach gives the best result compared to the error calculated in b$.$

If error in b is smaller than error in c$,$ then b is better. Use disp$(\text{'}$Rounding at b is better than c$\text{'})$ for this case. Otherwise, c is better. Use disp$(\text{'}$Rounding at c is better than b$\text{'})$ in MATLAB to show your conclusion. If they are equal, then, disp$(\text{'}$Rounding at b and c are the same'$).$ Use if$,$ elseif, else statements.

If error in b is smaller than error in c$,$ then b is better. Use disp$(\text{'}$Rounding at b is better than d$\text{'})$ for this case. Otherwise, d