Recent content by TL1998

Re: HSC 2014 4U Marathon - Advanced Level Glittergal96 u MUST go to the BOS trials 2014 event. Basically its where you sit this difficult mathematics extension two paper written by carrotsticks and Trebla. Normally if someone gets over 65% in the extension two exam they get a state rank. First...

Someon should seriously invite glittergal96 to this thread. She might actually be the first one to break the 70 mark (assuming the test is of equal or harder difficulty to the previous years)

Oh and I also believe sy123 got like 67 and also happened to state rank

Ah guys the guy who came first in bos trials last year only got 68 and he ended FIRST IN STATE for extension 2. (Terry shang)

What about 2016ers. Can we come

Re: HSC 2014 4U Marathon - Advanced Level How ugly is it. They arent integers but theyre still pretty neat. What did you get

Re: HSC 2014 4U Marathon - Advanced Level Sy123, please do not answer this question as you have already done so before. Give the 2014ers a go at this thank you. The lengths of the sides of a triangle form an arithmetic progression. The largest angle exceeds the smallest by 90 degrees. Find the...

Re: HSC 2014 4U Marathon - Advanced Level Just asking Glittergal, how have you performed in the AMC, UNSW maths comp and the austalian intermediate olympiads/ senior contests (if you've participated)

Re: HSC 2014 4U Marathon - Advanced Level Prove that 1/a + 1/b + 1/c + 1/d >= 3/(b+c+d) + 3/(a+b+d) + 3/(a+c+d) + 3/(a+b+c)

Re: HSC 2014 4U Marathon - Advanced Level

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Re: HSC 2014 4U Marathon - Advanced Level Yep, that also works. note that equality holds iff x=0. given 0<x<y, determine which of (1+x)^y or (1+y)^x is larger

Re: HSC 2014 4U Marathon - Advanced Level Our methods are different, but our answers are the same. Since Sy123 seems to be busy, i'll just post more questions. Given x>1 or <1/2 and n is an integer, prove the following (1+ x/(x-1) )^n >= 1+nx/(x-1)

Re: HSC 2014 4U Marathon - Advanced Level when i say abs(t-x), i'm talking the absolute value of it. so |t-x|. and sorry i meant integrate 1 to 0, with the 1 on top. Don't know why i put an e. also, contrary to what you had stated, the absolute values do play a role. To help you, here's the...

Re: HSC 2014 4U Marathon - Advanced Level that's what i did. This was question's clearly too easy for the advanced thread. Here's another one which is a little hard for the normal thread but easier than the rest of the questions here. A function f(x) is integral e --> 1 abs(t-x) e^t dt...