Questions

Develop a computer program that is uses the Bisection method to find the solution to $3$x $+$ sin$($x$)-$ ex $=0$ in the interval $-0\mathrm{.}5<=$ x $<=1$ within an accuracy tolerance of $10-3.$ Please make sure that the inputs, function used in the code and results are clearly visible. The solution should be shown to $5$ decimal places. $(10$ marks$)$

Develop a computer program that uses the Newton$-$Raphson Method to calculate the approximate roots of f$($x$)=$ x$5-5$x $+3$ starting with x$0=2$ within an accuracy tolerance of $5$ x $10-8.$ The solution should be shown to $5$ decimal places. $(10$ mark$)$

Note that you will be marked on:

functionality of the code,

correct results

After reviewing the instructions,

How the results are presented

inputs that are used

Understanding the Bisection method and Newton$-$Raphson method steps

Including some form of non$-$convergence criteria or message