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80 should be the answer, you don't need brute force for this... think burnside+frobenius+cauchy

maybe you should read your book carefully :P perhaps you missed a line or soemthing :P for one thing, how does r fit into the question? Others don't have the book you have, nor must they use the same conventions for variables.. so what 'r' stands for should be explained.

there's no official second year

look through questions on this forum, if you can do almost all of them then you can get 90+ in the HSC

Re: excelLerated 3 unit maths help!! you can do it again next year if you muck up

No, but you can prove it quite easily..

spontaneous

I guess heuristically, being continuous at the 2 unit level is being able to draw the curve pass a point without lifting one's pen (ofcourse in general this will be wrong, but if you restrict the functions to what you use in 2U then it works) As with the function in the question, it's the...

prices didn't rise!

strongly recommend that you read this: http://www.users.on.net/~unix/HSCmarks.pdf Can only say that your final marks will depends on how your colleagues perform

You dig up a stale thread just for this! :P

Since when did someone used techniques in fourier analysis? the series for inverse tan isn't that good for the purpose.. the series alternates and the convergence is slow.

Actually no.. it's 2unit.. somewhere one's taught the equality lim x-> 0 of sin(x)/x = 1 and so it follows that lim x-> infinity of sin(1/x) / (1/x) = 1 etc. etc. hmm in practice you can't use this to estimate pi.... reminds me of a project I undertook when I was a kid.. calculate pi! what I...

With a fair coin, what is the probability of having a run of Head,Head,Tails (in that order) with 5 tosses? assuming tosses are independent. (out of scope:) can you generalise this to n tosses?

Stephen has a loan of 100,000.00 to pay. each month, interest of 0.8% is charged on the outstanding amount a) If stephen pays 5,000 each month starting one month from now how long will it take him to repay the loan? b) Now suppose stephen pays different amounts every months, but according to...

A simple (doesn't work) population model assume that the change of population has four components, reproduction, death, emigrating abroad, and people coming from other places. Births and deaths and the number of people moving abroad is assume to be proportional to the population at any instant...

Let me guess you are chinese :P use "newbie" instead of [new hand] The final HSC exam will be a 3 Hour paper consisting of 8 questions(more appropriately called sections/parts), of which the two are generally more difficult. The MANSW publishes a book with hscs from the past 10 years with...

yeah definitely get one of the MANSW books.. less than $20 I think?

you should try 4U

Cambridge(Arnold) seems like the best standard one around.. (in my humble opinion) Ofcourse if you are enthusiastic then any decent book on maths is good enough, and come here often to answer the questions posted by others.. it's one of the most effective ways of learning. In general I hold a...