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Re: HSC 2014 4U Marathon Someone please answer the following question (stuck mainly on parts (b) - (d)):

Re: HSC 2014 4U Marathon Prove the following statement (i) using mathematical induction (ii) without using mathematical induction for all positive integer values of n

Forgot the constant of integration :mad: Anyone know what 65-67/70 would align to?

Nice work Carrotsticks, realised I made fell for many tricks and made some careless mistakes :angryfire:. Anyone know what 82 would align to?

Re: HSC 2013 4U Marathon Yeah I understand the area of the slice etc. it's just the limits that's confusing me...

Re: HSC 2013 4U Marathon Yeah... the fact that the bowl is tilted is playing with my mind...

Re: HSC 2013 4U Marathon Can someone please explain why the limits are as such in the following volumes question? Thanks.

Re: HSC 2013 3U Marathon Thread Is the answer 2128 ways?

But in my opinion a decent student should be able to grab 4-5 marks from multi-choice and then 20-30/90 from the rest. But yes a typical low E4 student would probably only get around 15/100 raw...

Really?

25-30 raw, I mean the paper is difficult all over the place...

How do you do Question 9 (MC)?

Re: HSC 2013 4U Marathon Prove that \frac{(2m)!(2n)!}{(m+n)!m!n!} is an integer for all positive integer values of \text m, n.

Re: HSC 2013 4U Marathon An unbiased die is thrown six times. Find the probability that the six scores obtained will be such that a 6 occurs only on the last throw and exactly three of the first five throws result in odd numbers.

Here you go: Hope it helps! :)

I could probably send you most of the papers through e-mail or something.

Best way to study 4U is heaps of questions and practice. Towards the end of the course you will find most questions are very similar i.e. standard textbook questions but the hard questions can be very difficult (especially last questions of every HSC paper). Textbooks are not enough though, all...

Re: HSC 2013 3U Marathon Thread You made it so much clearer for me now, thanks! :D

Re: HSC 2013 3U Marathon Thread But do you still take the last term of the series as the nth term or is an extra independent term in which you add it on the series leading up to 1/n? This is what is confusing me, where is the general term of the series?

Re: HSC 2013 3U Marathon Thread Would you have to add an extra 2^n terms to the LHS of the inequality?