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Re: HSC 2013 4U Marathon IBP ;) PS: Never mind, I think arctan(cosx) can't be expressed in terms of elementary functions.

How long is it gonna take to fix it? :(

Re: HSC 2013 4U Marathon Great solution! There is a little shorter way: $Note that:$ tanx=\frac{1}{tanx}-\frac{1-tan^{2}x}{tanx}= \frac{1}{tanx}-2\frac{1}{tan2x}=cotx-2cot2x $This implies that:$ \frac{1}{2^{n}}tan\frac{a}{2^{n}}=\frac{1}{2^{n}}-\frac{1}{2^{n-1}}cot\frac{a}{2^{n-1}} $The...

Re: Young Children, Best Maths and Physics Tutor, Very Cheap, Most Excellent, Click.H Bump!

Re: HSC 2013 4U Marathon $Evaluate the sum:$ \sum_{n=1}^{\infty }\frac{1}{2^{n}}tan\frac{a}{2^{n}}

Same.

Hard to choose! If I had to choose one then Shutter Island. I really loved that movie but may be because it was one of the first "mind fuck" movies that I've seen. From there on I started to watch a lot of mind fuck movies like Memento and Lucky Number Sleven :)

You will not get 99.95. How does that feel? Kill yourself.

Re: HSC 2013 4U Marathon I am pretty sure that was the only mark I lost (hopefully, as I haven't gotten the whole paper back yet). The test wan't really that hard, was very similar to questions found in Cambridge. I never used Cambridge before but I used it to study for this test because my...

Thanks for the correction :)

Since the statement is true for n=k and n=k+1 then it is true for n=1, 2, 3, 4, 5... Hence it is true for all integers n>/=1 by mathematical induction.

Re: HSC 2013 4U Marathon He does. In his marking criteria it says you can even lose marks for untidy work lol (don't know if that is true for the HSC) but I will argue with him and ask him to change the criteria. If he doesn't then I will be careful next time. It won't affect my rank anyway :D

Re: HSC 2013 4U Marathon Should have done this way :(

Re: HSC 2013 4U Marathon 1

Re: HSC 2013 4U Marathon Got my 4U half yearly results today (which was on all topics except volumes, mech and harder 3U) and I am disagreeing with the teacher about 1 mark :( There was a really easy question, find i^{2013} and I did (i^{3})^{671}=i but my teacher said it is wrong because I...

$Numerator$ \overbrace{r^3 + (r+1)^3}^{\text{sum of cubes}} \:=\:\big[r + (r+1)\big]\,\big[r^2 - r(r+1) + (r+1)^2\big] = (2r+1)(r^{2}+r+1) \text{We have: }\:\frac{(2r+1)(r^2+r+1)}{r(r+1)(r^4+r^2+1)} \text{Multiply by...

Do not trust this guy. Do not give him your money. Hide your wives. Hide your children. Hide your husbands. Omed is here.

1.9478660887918053629526007244099960758086061625067056 (don't ask for steps :$)

Don't worry about him, everyone hates him here, he will hopefully get the fuck out and leave.

write* Tell us about your experience at JRAHS. You must be feeling really dumb there. @OP: My tutor says it is only require for 3U and he is a HSC marker but my school teacher says it is important to always have a full statement as it shows that you understand the concept of induction. It is...