Well, some people don't really need a fantastic UAI to do just about anything you want at uni. I suppose simply getting over 99 will let you do just about anything you want, except space aeronautical engineering or medicine.
Understanding series is a short, revision/cramming, textbook. :D The questions arn't very hard either, proberbly harder than MIF though. Everything is harder than MIF.
Actually, I just managed to solve it using 3U method.
let tan^-1 (1/2) = x
therefore tan x = 1/2
let tan^-1 (1/3) = y
therefore tan y = 1/3
tan (x + y) = (tan x + tan y) / (1 - tan x . tan y)
tan (x + y) = (1/2 + 1/3) / ( 1 - 1/2 - 1/3)
tan (x + y) = (5/6) / (5/6)
tan (x + y) = 1
x +...
I can't do this (I know I may sound stupid now, but everybody has their dumb moments). Can sombody show me the proof for this please? :D
Prove:
tan^-1 (1/2) + tan^-1 (1/3) = pi/4
Actually, 2U math only has at most half a page of working out, and theres only a few of those in any test. Most of the questions take 1 or 2 lines to solve. :D