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Re: MX2 Integration Marathon I did this question a couple days ago and got I(n)=[e^x*sin^n(x)-ne^x*sin^(n-1)(x)cos(x)+n(n-1)I(n-2)]/[n^2+1] for the first part.

Re: MX2 Integration Marathon lol

Why is Basel Problem so common in MX2 exams? They've used the living shit out of it.

=( Wanna see the paper.

lol, can you post the question somehow?

Decided to make this thread so we can all be exposed to the more difficult integration problems (and for the fun of it of course). First 2 questions: integral of [sqrt(1+sin(2x))] dx integral of sqrt[tan(x)] dx

I thought he was just a neurology student.. but yeah they found a video of him giving a presentation on the subject

are you talking about the cinema massacre, the guy who pretended to be the joker from batman?

I personally reckon I didn't do well, didn't have any sense for time either (spent so much time just sitting there thinking it will end any second now lol). Hadn't done it for like 2 years prior however. Hoping for much better next year.

lol, all you had to do was apply the pythagorean theorem Let the sides be 2, 2a, 2a^2 (2a^2)^2=(2a)^2+2^2 4a^4=4a^2+4 a^4-a^2-1=0 a^2=[1+sqrt(5)]/2 Hence, hypotenuse=2a^2=1+sqrt(5)

Thanks Spiral

Feel like taking part even though I'm not in year 12, also would like an analysis of my answers Q2) All objects of mass (matter) in the universe possess a gravitational field would cause other objects of mass to be attracted towards it. By Newton's Universal Law of Gravitation, the force...

If an electron enters an electric and magnetic field and is not deflected by the two fields, determine: a) What can be said about the forces on the electron b) What are the direction of the electric and magnetic fields that produce a result such as in part a) c) If the electric field has a...

Hopefully I can somehow pull off a distinction lol (unlikely though, effed up pretty bad in my opinion)

yeah I wasn't sure about my answer

the probability one I got 1/256 and the GP one I got 1+sqrt(5) from memory

Regret not attempting the last five questions FUUUUUUUUU

Re: HSC 2012 Marathon :) It's still non-differentiable at x=0 right?

Re: HSC 2012 Marathon :) Are the tables considered identical?

Re: HSC 2012 Marathon :) Define the proposition P(k): f is k times differentiable at 0 with f^(k)(0)=0 for all natural (where 0 is included) If k=0: It is clear that f is 0 times differentiable at x=0 since a cusp occurs. f^(0)(0)=f(0)=0 Hence, P(0) holds. I think if you continue the inductive...