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Here's the method for the alternative method. Lol, just keep in mind in the future that if a question provides you with information about a complex number that is purely real or imaginary, you can equate the real/imaginary parts, or alternatively use the geometric approach. But of...

http://community.boredofstudies.org/showthread.php?t=226576

no problem. hold on, I think there's a link somewhere on these forums.

Lol don't worry. Your method is equally as correct. As long as you get the answer it's all good. =p

If a complex number is real, then the argument of the complex number will be equal to 0, pi, 2pi, ... Use De Moivre's Theorem as well.

6. b iii. Basically, what the question is asking, what P will be, if t reaches infinity. So as t reaches infinity, -0.05t reaches minus infinity. So as t reaches infinity, e^0.05t reaches 0, because 1 divided by infinity is a really small number. So you basically treat it as 0. So the answer...

lol no problem.

part b is basically proof by contradiction. It proves that any root of the polynomial, if it is in the form r+s root(d) cannot have r, s or d being all rational. i.e. r, s and/or d must be irrational.

2007 HSC Q6a ii.

^^

Okay, so I don't know how to use LaTeX, so I wrote this in Microsoft Word. I just finished my Economics Exam, so I have a lot of time on my hands. It's kind of late, so some steps may have been skipped or my explanations may not make full sense. So bear with me lol.

<3 Happy to help.

So basically in these types of questions, you split up the integral. Keep the part that you proved in part (a) (i.e. xtan^-1(x)) on one side, and chuck everything else on the other side. Then integrate like you normally would.

Just bought the physics notes, and I must say the notes are very well structured and follow each dot point very closely. Each point is explained clearly and concisely and I greatly recommend them for anyone hoping to ace physics! Plus, the samples highly reflect the quality of the entire set of...

Re: Q28 asked to discuss government policies, were you meant to discuss monetary as w yes