I need MatLab Code. Show full code and result. Will thunbs up$.$

One numerical method for calculating the cubic root of a number, $\sqrt[3]{P}$ is in iterations. The process starts by choosing a value $x_1$ as a first estimate of the solution. Using this value, a second, more accurate value $x_2$ can be calculated with $x_2=\frac{\frac{P}{x_1^2}+2x_1}{3},$ which is then used for calculating a third, still more accurate value $x_3,$ and so on$.$ The general equation for calculating the value of $x_{i+1}$ from the value of $x_i$ is $x_{i+1}=\frac{\frac{P}{x_i^2}+2x_i}{3}.$ Write a MATLAB program that calculates the cubic root of a number. In the program use $x_1=P$ for the first estimate of the solution. Then, by using the general equation in a loop, calculate new, more accurate values. Stop the looping when the estimated relative error $E$ defined by $E=|\frac{x_{i+1}-x_i}{x_i}|$ is smaller than $0\mathrm{.}00001.$ Use the program to calculate:

$($a$)\sqrt[3]{100}$

$($b$)\sqrt[3]{53701}$

$($c$)\sqrt[3]{19\mathrm{.}35}$