Feel free to report partial progress toward a solution, in the event you are unable to solve a
problem completely.
You will need to create a separate document with your solutions and notes. This document
may be typed or handwritten, as long as the final document you upload is legible for our
review. Please include clear, detailed explanations on all of your answers; numerical
answers or formulas with no explanation are not useful for evaluating your application.
None of these problems require a calculator or computer, and they are all designed so that
they can be done without computational tools.
You are expected to do your own work without the use of any outside source (books, internet
search, etc). If you recognize one of the problems from another source, or if you receive any
assistance, please indicate this on your solution.


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