This is the last homework set of the term. It is optional. If
you decide to turn it in, it is due Wednesday, December 14 at
noon. David Miller will give a short presentation on Wednesday,
November 16, on Augustin Cauchy and Cauchy’s dispersion
equation. Taylor Mitchell will give a presentation on Friday,
November 18, on Lajos Pósa. Sheryl Tremble will give a
presentation on Monday, November 28, on Pythagoras and the
Pythagorean theorem. Blake Dietz will give a presentation on
Wednesday, November 30, on This is homework 5, due Friday
November 18 at the beginning of lecture. First of all, some of
you did not realize that the first question in the previous
homework set was indeed a question, and skipped it. If that was
the case, please solve it now and turn it in. The sooner you do
so, the sooner I’ll be able to grade it and return it with the
rest of your homework 4. The question was as follows: - Suppose
that is monotonically increasing. Then and exist for all .
Moreover, for all . To be explicit: You need to