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Re: MX2 2016 Integration Marathon Yeh I'm literally a speed demon, doubt there are many that can match my speed, in 2nd year math2961 I did the final exam 3 times in the 2 hour period lol, but I'm also excellent with magic

Re: MX2 2016 Integration Marathon Well it took me 1 sec so I suppose that's why I'm saying my way is quicker

Re: MX2 2016 Integration Marathon It takes 2 lines, I don't know if that's a lot longer

Re: MX2 2016 Integration Marathon Also having a 1-x^2 is not untidy as having that on the denominator you should be like Yess!! Cause there are so many ways to integrate that which are all easy

Re: MX2 2016 Integration Marathon The x cancels with numerator and you're left integrating x/sqr(1-x^2) which is a joke

Re: MX2 2016 Integration Marathon Wow you used wolfram to factorise, they fully factored it. You can't rely on programs to do the math for you cause they don't know all the little tricks You get 4x^2(1-x^2), take the 4x^2 out the square root

Re: MX2 2016 Integration Marathon You don't need double angle, just expand the inside of denom and factorise

Re: MX2 2016 Integration Marathon For the first one is there another way to do it besides P.Fs otherwise ceebs

Re: MX2 2016 Integration Marathon I think I love the 2nd one lol, looks so ugly but is really easy

Re: HSC 2016 MX2 Combinatorics Marathon The HSC has to be careful with questions they give cause a lot of foreigners come to nsw and they don't know all these concepts of rules

Re: HSC 2016 MX2 Combinatorics Marathon What poker do you play? All poker and Texas hold 'em I've played count it. Also that's why these types of questions would never be asked in HSC , too many rules and not everyone knows them

Re: HSC 2016 MX2 Combinatorics Marathon Ace-5 does count. And straight flush is not a straight

Re: HSC 2016 MX2 Combinatorics Marathon Don't know if this question has been asked, but... NEW Q. In a standard deck of cards (52 cards) there are 4 suits and the cards are numbered ace, 2-10 jack, queen and king. Find the probability of getting a straight? (A straight is any five cards in a...

Re: HSC 2016 Complex Numbers Marathon Most of these questions are just pretty results found probably from uni which are doable for 4u. However, I have created some original questions before for my tutoring clients, and some are nasty lol

Re: HSC 2016 Complex Numbers Marathon You get two lots of 2^n so there is like 2ception so it just makes it cleaner

Re: HSC 2016 Complex Numbers Marathon 1. Find all roots 2. After k=n find all conjugate pairs 3. Group all conjugate pair roots together and factorise using conjugate properties 4. Sub z=-1 5. Factorise all the 2s 6. Double angle formula 7. And you should hopefully see it

Re: HSC 2016 Complex Numbers Marathon No it's right. It requires a sneaky few tricks (conjugate and half angles)

Re: HSC 2016 Complex Numbers Marathon NEW Out of scope of course but still fairly doable! Q. Using Euler's formula e^iz=cis(z) solve the equation sin(z)=2 where z is complex.

Re: HSC 2016 Complex Numbers Marathon Bump! Someone should try this neat and elegant exercise

Re: HSC 2016 Complex Numbers Marathon NEW Q. Find tan(3 theta) in terms of tan(theta) using demovire theorem and binomial theorem. Hence, find exact value of cot(pi/12).