- Solve the following transcendental equations for the
indicated variables, in terms of
**W**.- for
**y** - for
**x** - for
**w** - , , for .
- , , for
- for
- for
**x** - for
**x** - for
**p** - for
**y**.

- for
- Show that Euler's series for
,
converges for all

**v**small enough thatwhere is the Euclidean mean of

**a**and**b**. - Iterated exponentiation.
- If
what is

**x**? (High School problem) - If
what is

**x**? Explain, comparing to the previous problem. (2nd year analysis question) - Find a closed-form expression for the tower of exponentials in
the previous questions, in terms of
**W**.

- If
- Show that
where the polynomials satisfy and

Tue Apr 7 11:26:19 EDT 1998