Turn in your own writeup that includes your code. List any resources you used including collaborating with others. You will lose points if you use Matlab’s Symbolic Toolbox. Submit a PDF on Canvas by Friday, Sept. 18 at 5pm.
1. Using the quadratic formula, compute the roots of f (x) = 4x2 3x 3. Show your work.
2. Implement bisection for root nding.
3. Transform the function f into an appropriate function g for a xed point problem. Show your work.
4. Implement the xed point method. Make sure you use good stopping criteria; see Sauer, section 1.2.4.
5. Using your implementations, plot the error of each method for the rst 10 or so iterations. NOTE: You will need to ll in some details for this experiment. For example, you need to choose an initial guess for the xed point method. And you need to choose an initial interval for the bisection method. Make reasonable choices and justify why they’re reasonable. You are welcome to discuss these choices on Piazza. I’m happy to comment on Piazza posts.
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