Both Exercises are needed in Python.

EXERCISE $13\mathrm{.}2$

Define a lambda function that represents a cubic polynomial:$$y$($x$)=$ x$^3-$x$-2$x

Use this lambda function to generate y values for x values ranging from $0$ to $3($inclusive$)$ with an increment of $0\mathrm{.}1.$

Use the bisection$\_$method function defined above to solve the root in the braket of $[0,3]$ with the default stopping criteria value.

Create a line plot to visualize the cubic function.

Add appropriate labels for the x$-$axis and y$-$axis, a title for the plot, and a grid for better readability.

Mark the root in the plot.

EXERCISE $13\mathrm{.}3$

Define a lambda function that represents a cubic polynomial:$$y$($x$)=$ x$^3-$x$-2$x

Use the lambda function to generate y values for x values ranging from $0$ to $3($inclusive$)$ with an increment of $0\mathrm{.}1.$

Use the secant$\_$method function defined above to solve the root in the braket of $[0,3]$ with the default stopping criteria value.

Create a line plot to visualize the cubic function.

Add appropriate labels for the x$-$axis and y$-$axis, a title for the plot, and a grid for better readability.

Mark the root in the plot.