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Henderson's my tutor as well-he also topped the state in 10 of his units- and trebla, steph asked them for her raw mark apparently(u can like pay and get ur mark or something-vinh told me in front of steph and steph didn't contradict him-hence i'm pretty sure about it). Btw I wonder if i see...

Anthony Henderson, 1993

Steph got 118/120, that equated to 100.

ninjashirlee why don't u ask casebash, KEypadSDM or Virtual or something-i mean Keypad's an absolute beast and so is casebash and if ur looking for an HSC student just finished virtual would be good.

I don't have that much time to type up a similar proof etc not with tsp plus all the tutorials and assignemnets i haven't done-besides once an 07er sees the hints they'll be able to do it themselves-the biggest obstacle for them would be euler's notation

Here's the answer for the first part, can't be bothered for the second part-i mean the proofs for both q iare almost the same so someone else can do it-eulers' notation is just that exp(ix)=cosx+isinx we use this later. cosx=(exp(ix) +exp(-ix))/2 and so if we sum all the terms as given we get...

For the ellipse use PS+PS'=2a property-from that u find a and from that u can find e. So the complex numbers with the zs are the coords of the foci of the ellipse- except the ellipse has just been shifted up. U can find b easily from this. U have the ability to do this chousta-draw diagrams as well

Uni textbooks esp by grossman-very good rates of changeq, includes induction q of various kinds esp relating to e and i think one or two on pi. Harder integration not just the simple stuff-plus it shows how to approach various integration q that aren't taught in hsc+coroneos and extension q from...

Personally i didn't like phoenix-most of my past hsc q were done from the mansw books-as for sample hsc q-phoenix will give u the orthodox typical q-which is not ideal. There are much better books than phoenix and going ahead onto the so called "uni stuff" will broaden the knowledge and chalenge...

For L'Hopitals rule we express in the form of -infinity on infinty in this case so i've written (x-2) divided by 2^(1-x ) and then using the rule we differentiate "top and bottom individually". The expression (x-2)2^(1-x )isn't the same as (x-2)2^(x-1). I should have put brackets but forgot to...

yeah it can be shown algebraically-but in the hsc all we learn is tat exponential functions increase or decrease at a greater rate than linear functions. However we could use L'Hopital's rule for indeterminate forms, in this case we can write it as -infinity/infinity so let y=lim(xgoes to...

y=0 is the horizontal asymptote which is seen from ssglain's reasoning.

It'll be better if u do it urself-but here are a few hints that will make it easier. show that z^6-z^3+1=0 are among the roots of z^9-1, from those roots u exclude the roots of z^3+1=0 . Then group these roots in the form of factors of the polynomial. Groups factors with conjugate roots and this...

Jyu's method is correct-so whichever one u feel comfortable with-but what i did was expressed 1+cos@+isin@ in modulus argument for-in which i used the double angle formula for cos and sin.

ssqlain i wasn't being critical or anything if that's what u thought(I was merely commenting, because i hadn't seen so many people do med before on the forums)-if i were u i would have joined bos later-u might waste too much time lol. Get some uni textbooks as well and do some q related to 3u...

there should be a cos@/2 outside not @ i think- let z=1+cos@+isin@ =1+2cos^2@/2-1+2isin@/2cos@/2 =2cos@/2(cos@/2+isin@/2) and z^n=(1+cos@+isin@)^n this=2^ncos^n@/2(cosn@/2 +isinn@/2)

ianc's right-there are some chapters that r really short so u shouldn't spend much time on it-harder 3u probably takes the longest time(to cover properly)

For these q sonic-use polar coordinates-since p divides it in that ratio, we have AP=2 and PB=4 if @ is the acute angle this line makes with the x axis then we represent the x cordinate of p as x=2cos@ and y=4sin@ using sin^2@ +cos^2@=1 u get x squared on 4 plus y squared on 16=1. If it was the...

Who was that directed at and why use such coarse language?

I'd advise going ahead urself-at this stage we had finished conics complex nos-we didn't manage to fit everything for the hsc-lots of topics were just rushed through