HSC 2012 MX2 Marathon (archive) (2 Viewers)

[Carrotsticks]

Re: 2012 HSC MX2 Marathon

Oh dear, I seem to have forgotten that is the identity vector. I did my working out on the incorrect basis that is the identity vector.

My solution for B stays, but take seanieg's solution for A.

 

[kingkong123]

Re: 2012 HSC MX2 Marathon

Answer to the argument question IS 7.



for some integer k.

Setting k=-1 gives us the simplest nontrivial solution of n=7.

wait, i know when you divide complex numbers you subtract the arguments, does it work by the same token if you subtract two complex numbers you divide the arguments? is that what you did in the first step or am i missing something??

 

[Carrotsticks]

Re: 2012 HSC MX2 Marathon

wait, i know when you divide complex numbers you subtract the arguments, does it work by the same token if you subtract two complex numbers you divide the arguments? is that what you did in the first step or am i missing something??

He was utilising the property:



Only works if you subtract the arguments, not the actual complex number itself.

 

[kingkong123]

Re: 2012 HSC MX2 Marathon

He was utilising the property:



Only works if you subtract the arguments, not the actual complex number itself.

-.- oh yea :/

 

[IamBread]

Re: 2012 HSC MX2 Marathon

Lol you are way too obsessed with complex analysis

Haha yeah probably, gonna be good when I get to uni and do it .

Would post other questions, just not sure what topics this years MX2 students have done.. lol.

 

[Carrotsticks]

Re: 2012 HSC MX2 Marathon

Haha yeah probably, gonna be good when I get to uni and do it .

Would post other questions, just not sure what topics this years MX2 students have done.. lol.

At this stage, usually curve sketching, complex numbers and maybe polynomials too.

 

[SpiralFlex]

Re: 2012 HSC MX2 Marathon

At this stage, usually curve sketching, complex numbers and maybe polynomials too.

Rweally? I haven't started Complex numbers yet. What's a complex number?

Many schools have done bits and pieces of topics.

Mainly, integration, inequalities, induction, conics, bit of probability. Depending on the school.

I think STHS usually does complex numbers and a bit of conics.

SBHS I think complex numbers, polynomials, integration and they include some questions on inverse trig and probability in their first task.

 

[Nooblet94]

Re: 2012 HSC MX2 Marathon

At this stage, usually curve sketching, complex numbers and maybe polynomials too.

Many schools have done bits and pieces of topics.

Mainly, integration, inequalities, induction, conics, bit of probability. Depending on the school.

I think STHS usually does complex numbers and a bit of conics.

SBHS I think complex numbers, polynomials, integration and they include some questions on inverse trig and probability in their first task.

Shit. My school's only finished complex numbers.

EDIT: Although, we've finished a fair amount of 2/3 unit (induction, series, locus, probability, perms & combs, geometry of the derivative, circle geo, binomials)

 

[SpiralFlex]

Re: 2012 HSC MX2 Marathon

Shit. My school's only finished complex numbers.

No. Most schools will do Complex Numbers and start one other topic.

It's not a race to see who finishes the course first. It's who knows it the best that counts in the end.

 

[IamBread]

Re: 2012 HSC MX2 Marathon

So I'm guessing no school has done mechanics yet?

 

[SpiralFlex]

Re: 2012 HSC MX2 Marathon

So I'm guessing no school has done mechanics yet?

NSGHS students claim to have started circular motion from what I have heard. Not sure if this is true though. Other than that no school I know has.

 

[IamBread]

Re: 2012 HSC MX2 Marathon

Might try posting a few up that I find then

 

[SpiralFlex]

Re: 2012 HSC MX2 Marathon

Might try posting a few up that I find then

You are best wait until close to HYs to post mechanics questions and get a fair amount of attention from the forum.

 

[IamBread]

Re: 2012 HSC MX2 Marathon

You are best wait until close to HYs to post mechanics questions and get a fair amount of attention from the forum.

Yeah that's probably true.. I just really liked mechanics

 

[SpiralFlex]

Re: 2012 HSC MX2 Marathon

Yeah that's probably true.. I just really liked mechanics

You can post some integration questions next week if you like. I am still consolidating my first topics.

 

[RealiseNothing]

Re: 2012 HSC MX2 Marathon

My school's finished complex numbers and done half of graphs.

Is this a reasonable pace? Will we have enough time to finish the course in-depth.

 

[nightweaver066]

Re: 2012 HSC MX2 Marathon

My school's finished complex numbers and done half of graphs.

Is this a reasonable pace? Will we have enough time to finish the course in-depth.

It should be enough time.

Some schools don't start teaching 4U until this year like Newington and Sydney Boys.

 

[largarithmic]

Re: 2012 HSC MX2 Marathon

Yeah that's probably true.. I just really liked mechanics

Hey your thing says HSC 2011, are you doing science / advanced maths this year and if so at which uni?

Also may as well post a question. Dunno how suitable thing one is but its neat:

Part (A). Trapezium ABCD is given with AB parallel to CD. Let diagonals AC and BD intersect at X. Prove that triangles ADX and BCX have the same area.

Part (B). A triangle and any point on one of its sides are given. Show how to construct, with straight edge and compass, a line through this given point that bisects the triangle into two regions of equal area.

 

[IamBread]

Re: 2012 HSC MX2 Marathon

Hey your thing says HSC 2011, are you doing science / advanced maths this year and if so at which uni?

I was tossing up between Advanced Math and Advanced Science at UNSW, but in the end I picked science (major in physics). I was looking at the handbooks, and it still had a fair bit of maths in it, as well as the physics so I went with that.

 

[Carrotsticks]

Re: 2012 HSC MX2 Marathon

I was tossing up between Advanced Math and Advanced Science at UNSW, but in the end I picked science (major in physics). I was looking at the handbooks, and it still had a fair bit of maths in it, as well as the physics so I went with that.

=(