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Yeah lol, I rekon the way I first did it was much simpler.

Well to find out if it's an arithmetic serie or a geometric serie what you could do with this question is cheat and test 3 consecutive numbers (for n) in the answer they gave us in the actual question ( Tn = 2^n+1 - 2^n ).

Actually I understand Acmilan's method now. I redid his method but put in all the steps to make it clearer. dy/dx = 2y dy = 2y.dx dy/y = 2.dx 1/y.dy = 2.dx Integrating both sides lny + K= 2x + C lny = 2x + C - K (remember K and C are constants) when x=0, y=5 ln5 = 0 + C - K C - K =...

According to what I've just read a vertical line has infinite gradient which makes sense since rise/run=rise/0 Therefore I do not understand how getting derivative=0 will solve this thing. Can you explain this? At the moment I am guessing that you have to expand it and somehow the x...

So does that mean that you would have two vertical asymptotes at -pi/2 and pi/2 ? Would the line y=x be continuous after those two points? Thanks for the second question.

Uh that's a strange method there. I would have just done it like this: dy/dx = 2y dx/dy = 1/2y x = 1/2(lny) + C when x=0, y=5 0 = 1/2(ln5)+C C = -1/2(ln5) x = 1/2(lny)-1/2(ln5) 2x = lny-ln5 lny = 2x+ln5 y = e^(2x+ln5) Although your method looks awfully neat.

I know the gradient of a horizontal line is 0 since rise/run=0/run=0 but what is the gradient of a vertical line? (rise/run=rise/0=undefined?)

If you're that impatient I believe that there is a 5 minute promo clip of episode 3 out somewhere. I don't want to see it because then episode 3 won't be fun but I believe that you can see some of the new characters in it (the others). I've seen a couple of screenshots. I <3 Kate. She's darn hot.

Velocity is constant which means that the speed does not change (since velocity means speed but it can be positive and negative). Because it is not speeding up or slowing down acceleration is 0. Displacement can be anything really. x = ? v = constant a = 0 As you can see anyway, the...

For question 2 I lost you at the double angle formula. Can you clarify?

The kids weren't that smart. I doubt these guys are Australia's most elite. Most questions are pathetically simple and some of them get the easiest questions wrong. I'm also surprised that they don't get 100% when they are given questions on their special subject. That snobbish kid who...

1. What about domain and range restrictions? 2.?

I like season 2 so far. Episode 2 didn't really move the plot but it was enjoyable nonetheless - all because of that scene with Kate crawling through the vent (HABAHABA). Can't wait till Wednesday (although I probably won't have it on my pc till like friday...)

I've got about 20 Gigs of music but I'm not a big music downloader and I've got a very slow connection. That said I do have about 45 Gigs of movies :o. I need a better ISP and faster speed. Fastest I get on bittorrent is like 26 kb/s and that is quite rare :(. Oh and by the way 100% of it is...

1. Sketch y=tan-1(tanx) 2. Prove tan-1(3/4)+sin-1(5/13)=cos-1(33/65)

Deriving it with induction is such a pain...

Ok cheers mate.

That's insane Casmira. I'm sure such hard work will pay off. You've inspired me to try even harder. The thing though is that I'm doing 12 units including 2 extensions so managing my time is very very hard. But I'm going to start studying a hell of a lot more now.

I remember finding a couple of audio samples online of the continuers speaking exam. Anyone know where I can find samples for extension? (I'm not talking about past exams, I want the audio samples). Thanks.

I'm hoping for a band 6 but I'm not entirely sure I'll get it. I haven't done much work this year in SDD but I am now doing a few hours of SDD per day and will do so until the HSC so I think that I'm improving exponentially. What are you aiming for? And if you've already done the HSC what...