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for something slightly less cliched you could go for Green Square. Theres some stuff about it online on the city of sydney site if i remember.

I hate to break it to you guys but it was hoax from those most reputable British Papers, the Metro and the Sun. http://www.snopes.com/critters/lurkers/poodlesheep.asp for the real details. Quite disappointing how it got picked up by reputable news sources around the world (including our SMH...

sorry I'm a bit lazy. The basic idea is to get rid of the square roots because they impede calculations. So you put all the square roots on one side and the square it. Now you should be left with only 1 square root. put it on its own side again and square again. Now there should be no...

Lovely questions ;). If you try putting either 2 or 3 into the Integrator (integrate.wolfram.com) you get a huge expression which is impossible to evaluate, but the using the substitution makes them so much nicer.

Yep - apart from your typos which are excusable (you forgot the fifth root epsilon) and the first term of ur second polynomial was x^5 when it shouldve been y^5. My calculations gave exactly the same thing.

Taking that as meaning 1+1/2+1/3.....1/n > sqrt(n) (for all n >= 7) 1) Prove for n = 7 (plug it into your calculator and the difference is about 0.05) 2) Assume the statement true for n = k (k>=7) 3) Prove the statement true for n = k + 1: RTP (required to prove): 1/1 + 1/2 + .. +...

A spaceship flies past a planet at .6c. The pilot and his girlfriend on the planet each wave at each other for 4.0 seconds. (a) Calculate how long the pilot sees his girlfriend waving. (b) Calculate how long the girlfriend sees the pilot waving. This is from Dot-Point and the answers they...

Are they really going to deduct marks off us just because we don't include the correct 'mantra' at the end. That's basically ridiculous. As long as your proof is obviously induction and you've stated the word induction somewhere it's quite obvious what the student is doing.

"how you go from that step to the next?" airie stated that 1/(k(k+1)(k+2)) = 1/k(1/(k+1)-1/(k+2)) (easily verified by expanding the RHS) Now by a similar method: 1/(k(k+1)(k+2)) = 1/(k+2)(1/k - 1/(k+1)) (easily verified) now she has just grouped the two terms which are...

Tokyo, while having a large population ~30 million, is not considered a mega-city with respect to the HSC Geography Syllabus. The Urban Places section specifically defines megacities as urban areas in DEVELOPING countries with a population above 8 million. Thus your questions, especially the...

Sorry SoulSearcher, but that was a pretty convoluted explanation. Heres the proof: Suppose B =/ b, and that a, A, b, B are all integers (they can be rational but we just multiply by the lcm of the denominators to make them integers), then: a + brtx = A + Brtx a - A = rtx(B - b) rtx =...

Nah - the questions are not too difficult and that question that you got is nearly exactly the same as the urban places HSC question of 2002 (or 2003). If you want to see what the HSC questions are like, just take a look at the past papers on teh board of studies site. The extended responses...

I did quite an easy one. Whether smoking should be banned on [Maroubra, tho any beach will do] beach. And I compared it with Bondi Beach where smoking is already banned. It involved not too much data gathering: *Surveys - Just asking people what they thought of the idea *Estimation of...

iamben is definitely wrong. The answer is definitely just the straight integral and in this question, I'm pretty sure that the answer is -0.044 to 3 d.p. Overall the exam was harder than I expected it would be - some of the questions required some heavy thought especially 8 (b) (ii) and 10...

Why wouldnt they just moderate the marks by taking the mean and standard deviation of the internal school assessments and equalising this with the mean and the standard deviation of the external hsc assessments. This strikes me as the easiest and most obvious way of moderating marks. In...

I'm in year 11 currently. If i do the 2 unit HSC Mathematics course this year (ie. accelerated) and then do 4 unit Mathematics next year (i.e. 3 and 4 unit exams), will my 2 unit results be counted towards my HSC mark?