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\textsc{\Large Numerical analysis: Homework 6}\\
Instructor: Anil Damle\\
Due: May 5, 2025\\

\subsection*{Policies}
You may discuss the homework problems freely with other students, but please
refrain from looking at their code or writeups (or sharing your own).
Ultimately, you must implement your own code and write up your own solution to
be turned in. Your solution, including plots and requested output from your code
should be typeset and submitted via the Gradescope as a pdf file. This file must be self contained for grading. Additionally, please
submit any code written for the assignment as zip
file to the separate Gradescope assignment for code.\\
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\noindent

The purpose of this HW is to provide an avenue for you to synthesize what you have learned over the course of this class. (As a complete aside, this nicely fits into Bloom's taxonomy.)  This is a bit of an experiment, and will be graded as such. We are looking for viability of the question and correctness of your solution, and will not be so concerned with an assessment of if they are good questions. These questions will not be directly used on the final exam (barring some sort of unexpected event in which you happen to independently write a question we already plan to use on the final).

\subsection*{Question 1:}
Write a viable homework question for this course (it may pertain to anything we have covered). Your question may be of a theoretical or computational nature (or blend the two). In addition, write a solution (including code, if relevant) for your problem.

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