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man that was a b*tch to type solve the equations to find roots edit: beaten

edited with marks

Adv Maths at usyd i think it was

its a shame harder 3 unit was culled, always allowed for the best questions tho, DEs are pretty good

a jewish nazi is this the contradiction?

100 bucks says your dads banging amanda

\\\text{Let }z=x+iy\\\\\overline{(\frac{1}{z})}\\=\overline{(\frac{1}{x+iy})}\\=\overline{(\frac{x-iy}{x^2+y^2})}\\=\frac{x+iy}{x^2+y^2}\\=\frac{x+iy}{(x+iy)(x-iy)}\\=\frac{1}{x-iy}\\=\frac{1}{(\overline{x+iy})}\\=\frac{1}{(\overline{z})}

\\|z-2|=2=|2|\\\text{Hence the triangle formed by vectors }z, 2 \text{ and }z-2\text{ is isosceles}\\\text{By simple geometry }arg(z-2)=2arg(z)\\\text{Let }arg(z)=x\Rightarrow arg(z-2)=2x\\\text{Given that }arg(z-2)=k\times arg[(z)(z-2)]=k\times [arg(z)+arg(z-2)]\\\therefore...

we're so nuclear i think im growing a third eye :p

ive had so many unexplained compared to you guys LOL

48 2 explained

\\y=3x+x^{\frac{3}{2}} \text{, }\frac{dy}{dx}=3+1.5x^{0.5}\\x\geq0 \text { since } y \text{ is complex for }x<0\\\frac{dy}{dx} \text{ is undefined when }x=0 \\\ \text {Taking the limit, }\lim_{x\to 0}(\frac{dy}{dx})=\lim_{x\to 0}(3+1.5x^{0.5})=3\\\therefore y=3x \text{ is tangent to the curve as...

my first and only accident happened when i was ~1 month into my Ls. dad took to me to the liverpool area and we were driving around until he realised i was in the wrong lane and needed to go to the far left (3 laned road) to make a specific turn. being the slow cautious L plater, i kept looking...

you are correct i quickly assumed a vertical tangent without taking limits thanks :)

they do a friend of mine got into combined law last year with a UAI of 95.XX

what kept me motivated? nothing really :confused: i just did it for the sake of it if anything, it was scholarships, but this was only at the latter stage of year 12

(1) many have told me once you get into an engineering course, no employer cares which uni you went to (2) just as easy to get to Usyd as UTS (transport) (3) you don't have to do 1 year of work experience at Usyd (i'm very lazy :P) (4) you get paid 1k more at UTS for 1 year more of work. in this...

financially speaking: UTS Co-op Mech = (12k) + (1 year of paid internships at around 250 per week) ~ 25k for 52 weeks work UNSW Co-op BIT = 75k + (72 weeks unpaid work) ~ 75k for 72 weeks work which equates to 54k for 52 weeks work Usyd Merit = 6k for 4 years = 24k for 0 weeks work in terms of...

\\w=\frac{z-2}{z+2}\\|w|=|\frac{z-2}{z+2}|\\\text{But }|w|=1\\\therefore |\frac{z-2}{z+2}|=1\Rightarrow |z-2|=|z+2|\\\text {By inspection, locus of z is the line }x=0 now off to the gym :)

anyone doing electrical engineering *tumbleweed* . . . . . . . anyone? :o