# Recent content by Pwnage101

1. ### Why doesnt macquarie have a faculty of law?

Replace " 'Department(s)' " with " 'Division(s)' ".
2. ### curve sketching help!

Open circle at 0.
3. ### solve tanx=x

True - http://faculty.washington.edu/rag/CLASSES/m308/HANDOUTS/example.html.
4. ### solve tanx=x

I am of the opinion that "the more solutions, the better" with regards to solving problems in mathematics in different ways. It really helps you get used to various different methods, and in doing so you learn new techniques, so don't worry whether or not someone has already posted, your input...
5. ### solve tanx=x

There is no solution in the given interval. You could sketch both functions tan(x) and x on the same axes and see why. A more algebraic approach could include: Clearly x=0 is a solution, since tan(0)=0. Now, let f(x)=tanx-x ---> f'(x)=[sec(x)]^2-1 Now, for 0<x<pi /2, we...
6. ### Integrate e^2x cos (e^2x)

Not sure if there's an easier way, but you could: 1). Open the provided link http://www.codecogs.com/latex/eqneditor.php (perhaps bookmark this) 2). Use this equation editor 3). When finished, copy the text into the reply box, with "[_tex]" before and "[_/tex]" [with no underscore ("_")]...
7. ### Advantages of Actuarial Studies at UNSW

Someone of that stature would be a Professor by now, and there are no other ones listed here: http://www.asb.unsw.edu.au/schools/actuarialstudies/facultyandstaff/Pages/academicstaff.aspx
8. ### Advantages of Actuarial Studies at UNSW

No - Macquarie's program was established 30 years before UNSW's. The lecturer who developed the program at UNSW was a graduate and former lecturer of Macquarie (not that it matters). Source: http://www.asb.unsw.edu.au/schools/Pages/MichaelSherris.aspx.
9. ### Help me prove this standard form please

1).Use the substituion x=a(sec(u)) 2). To integrate sec(u) with respect to u note that d/du{sec(u)+tan(u)}=sec(u)[sec(u)+tan(u)], hence multiplying sec(u) by {sec(u)+tan(u)}/{sec(u)+tan(u)} will make things nice. 3). To transform the result from the variable u to x, draw up a right angled...
10. ### Advantages of Actuarial Studies at UNSW

True. Reason is that people have been graduating from Macquarie with Actuarial Studies degrees for over 40 years, while UNSW has only offered the course for ~10 years (not sure on exact number). In terms of number of graduates from each University nowadays, i'd say they are quite similar.
11. ### actuarial studies

Not entirely true. Law is no longer offered as a double degree, but the most popular double degrees with Actuarial Studies at Macquarie seem to be Applied Finance or Economics. It is also offered as a double degree with mathematics or statistics.
12. ### actuarial studies

No. Just touch up on probability and loan repayments and you should be fine.
13. ### binomial theorem/ combinations question

Trebla provides a nice algebraic proof of a well known result from Pascal's triangle. A non-algebraic (combinatorics) proof would go something similar to the following. Assume n and k are positive integers, with n>k. Consider Tom, who has (n-1) (distinct, distinguishable) blue marbles and 1...
\textup{Second last line is incorrect. It should be } z^{-1}\left[=\frac{r$$\cos\theta\textcolor{red}{-}\sin\theta$$}{r^{2}}\right]= \frac{\overline{z}}{r^{2}}. Edited, thanks to Drongoski for picking up the typo.