Problem $5\mathrm{.}2$: For part $($a$),$ plot the function using Matlab from $x=0$ to $1,$ and

guess the root. For part $($b$),$ write a Matlab function to do the Bisection

Method. Print the code and the answer for an error tolerance ${}_a=0\mathrm{.}01\%\mathrm{.}5\mathrm{.}2$ Determine the real root of $f(x)=5x^3-5x^2+6x-2$ :

$($a$)$ Graphically.

$($b$)$ Using bisection to locate the root. Employ initial guesses of

$x_l=0$ and $x_u=1$ and iterate until the estimated error ${}_a$ falls

below a level of ${}_s=10\%.$