Problem 1: Write a MATLAB script to use Newton's method of optimization to find the minimum of the function f(x) 2+6 11. Use lf'()106 as the stopping criterion. Use a starting guess of VT. Then run the script again with a starting guess of 9,001. Finally, run it again with a starting guess of your choice (not the minimum, though) Interpret your results: why did the algorithm work the way it did? Problem 2: Write a MATLAB script to use the Newton-Raphson method to solve problemL. Interpret your results: why did the algorithm work the way it did? Note: This is an ( ?a on problem-you need to think critically about how you can use the Newton-Raphson method (a root-finding method) to solve an optimization problem. This does not mean search for a root and hope you will accidentally find thie iminimum. Problem 1: Write a MATLAB script to use Newton's method of optimization to find the minimum of the function f(x) 2+6 11. Use lf'()106 as the stopping criterion. Use a starting guess of VT. Then run the script again with a starting guess of 9,001. Finally, run it again with a starting guess of your choice (not the minimum, though) Interpret your results: why did the algorithm work the way it did? Problem 2: Write a MATLAB script to use the Newton-Raphson method to solve problemL. Interpret your results: why did the algorithm work the way it did? Note: This is an ( ?a on problem-you need to think critically about how you can use the Newton-Raphson method (a root-finding method) to solve an optimization problem. This does not mean search for a root and hope you will accidentally find thie iminimum