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There was solutions for 1st part but not the 2nd. Question: 10 people arrive at a restaurant. There are two circular tables. 6 people sit at one table and 4 in another. i) How many different seating arrangements are possible using these tables? ii) Assuming arrangement is random, what is the...

Re: MX2 Integration Marathon lol soz guys never done a q like that before with infinities, would u care to show me the correct working?

Re: MX2 Integration Marathon The usual dividing top and bottom by cos works well here. \int_{0}^{pi/2}\frac{dx}{a^2sin^2x+b^2cos^2x} =\int_{0}^{pi/2}\frac{sec^2xdx}{a^2tan^2x+b^2} Let u=tanx =\int_{0}^{\infty} \frac{du}{a^2u^2+b^2} =\frac{1}{ab}\arctan (\frac{au}{b})...

The squares of the diagonals of a parallelogram is equal to the sum of all the sides squared.

Polar form sounds nice, because you've got an 'n', demoivres can help you out.

It's used in many things. But since i'm more of a tech guy, i can contrubute a very interesting use for maths. Encryption. Everytime you log onto the big shot websites, google, yahoo etc. The data has to be encrypted, believe it or not, the base equation that the encryption is based on is...

Re: HSC 2014 4U Marathon Wow that's pretty awesome. Thanks :)

Re: HSC 2014 4U Marathon How do you derive this?

Re: HSC 2014 4U Marathon Is series a topic in 4u?

lol nice avatar lol

Re: HSC 2013 4U Marathon Cool, quick check... \frac{x+iy+2i}{x+iy-2i} \frac{(x+i(y+2))*(x-i(y-2))}{x^2+(y-2)^2} \frac{x^2+4xi+y^2-4}{x^2+(y-2)^2} Let Reals=0 x^2+y^2=4 |z|=2 Gotcha :) Thanks sy :)

Re: HSC 2013 4U Marathon Jazu... Um... i'm going to go out on a limb and say... f(x)=\frac{z-\sqrt(2)i}{z+\sqrt(2)i} Well... It seems to work using the previous working out...

If ur not interested, drop and divert all time into other subjects, make sure u smash em all :P Try to get 97+ in 3u.

Re: HSC 2013 4U Marathon What exactly are you compiling? ------ If i let z=x+iy and expand... \frac{x^2+y^2-1+2xi}{x^2+(y-1)^2} Now logically, if it was to be purely imaginary then, the real part would equal to zero right? x^2+y^2-1=0 x^2+y^2=1 |z|=1 z=+-1 I know i screwed...

Re: HSC 2013 4U Marathon Alright, lets do this :P [1] Find tan7x in terms of tanx. $ Using Demoivres: $(cosx+isinx)^7=cos7x+isin7x$ $ Using normal expansion: $(cosx+isinx)^7=cos^7(x)-21 sin^2(x) cos^5(x)+35 sin^4(x) cos^3(x)+i (-sin^7(x)+7 sin(x) cos^6(x)-35 sin^3(x) cos^4(x)+21...

Ah, the +1-1, never get tired of that lol

For the first question: $let$ u=x^2 $ and let $ v=x-1 \frac{du}{dx}=2x $ and $ \frac{dv}{dx}=1 $Using the quotient rule:$ \frac{d}{dx}=\frac{2x(x-1)-x^2}{(x-1)^2} \frac{d}{dx}=\frac{x^2-2x}{(x-1)^2} For the second question: (Using normal power rule) $ Like Yasmin said, the second...

Re: HSC 2013 4U Marathon Good to meet you too lol. All good bro :P

Sy, why u so pro bro? LOL Ever heard of 3d tronics? lols

3dtronics lol