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Re: HSC 2012 Marathon :) I'm about to start a 4U test that has integration as one of the topics. Any ones I see that don't require 4U techniques, I'll post for you.

Re: HSC 2012 Marathon :) Yeah I know. I just hoped they would take it as fact (i.e. i+(-i)=0 and i^2=-1). Shouldn't have posted the question though- I'll try and find a nice 3U question

Re: HSC 2012 Marathon :) Oh really? Whoops, should have been paying attention... Though I guess the only 4U knowledge you need is that complex roots occur in conjugate pairs and the definition of i. For 3U students: Add to my question, both 1+2i and 1-2i are roots, where i is the square...

Re: HSC 2012 Marathon :) I like these sorts of questions so hopefully you guys will find it fun as well: P(x) is a cubic polynomial with real coefficients. One zero of P(x) is 1+2i, the constant term is -15 and P(2)=5. Find the equation of P(x)

You aren't trying to find the midpoint of the center and the edge of the circle. The point you are trying to find is P(x,y). The midpoint of P and the edge of the circle is the centre of the circle. In this case, you aren't finding the midpoint but using the midpoint that you are given to find...

Yes, you could use the two points to work out the equation of the line and then use the distance formula to work out what point on that line lies the distance of the radius away. For these problems though, if you draw a diagram and have a decent conceptual understanding it's much easier. Using...

The simple way to do this is as follows: Note that to go from the centre (-2,5) to one end of the radius (4,-3) means that you go 'up' by (6,-8). The other end of the circle will be the exact same distance just in the opposite direction so go 'down' by (6,-8). Therefore, the other end is at the...

Re: HSC 2012 Marathon :) (a+k)^2-a^2=2012 (for a,k integers) 2ak+k^2=2012 k(2a+k)=2012 use 2,1006 as pairs. k=2, 2a=1004 a=502 Therefore the squares of 502,504 differ by 2012

You don't get specific marks per se for doing a particular style but the advantages of tables, diagrams, dot points etc is that they are faster and you can convey more information which leads to better marks. For example, in a question that asks to compare two things, just draw a table and...

The guy that's topping both Adv. and ext. english at our school right now is asian...

Yes. I think most people have a decent idea of 4U on this forum and even if you don't, its relatively easy to get your teachers/tutors/textbook to explain the easier concepts. Things like Q8 however need someone who actually gets everything properly (i.e. can't learn off a textbook or whatever)...

Nice- I like it. Just a heads up on a typo, on the first page you say there are 28 year 12's coming but there are only 18.

Re: [The Mathematics CORNY Pick Up Lines THREAD] Would have been better if you wrote "being lenient, only cos ur new"- Missed oppurtunity mate

Re: [The Mathematics CORNY Pick Up Lines THREAD] tech pride!!!

Re: [The Mathematics CORNY Pick Up Lines THREAD] Mate, you have no idea... I've always wanted to try some of these lines BTW- come with me one day to Cronulla beach and we'll see how they go :)

Re: [The Mathematics CORNY Pick Up Lines THREAD] Just a few nice ones to begin with... - I wish I was your conics homework so I'd be hard and you'd do me on your desk. - I wish I could be your derivative so I could lie tangent to your curves - I wish I could be your second derivative so I...

What is your school rank?

I'm not so sure about this part. Its obvious that for an even function, all real roots have to exist in pairs (oppositely signed) but I don't know about complex parts. I just created a polynomial with roots 2i,-2i,3i,-3i which is equation : x^4+13x^2+36=0. This is even and the roots do occur in...

The obvious (as you put it)- Past papers. Then more past papers. Then some more.

Sounds like a plan. I'm looking forward to the seminars though- should learn lots of useful stuff