2022 HSC Question MX2 (1 Viewer)

[HSCya1234567]

can anyone please draw me a diagram for this question? I read the matrix solutions (cause nesa doesn't write up solutions for it) and they dont make sense....







tysm

 

[HSCya1234567]

I should really stop posting shouldn't I, just found a nice diagram from last years thread on it so never mind!

 

[HSCya1234567]

actually, can someone please explain the diagram?, I understand all of it up until S2, i understand that this is the orange line, but how does that make the circle S?

 

[synthesisFR]

damn r u already attempting last years hsc

 

[HSCya1234567]

yeah i got curious and I wanna get through to 2010 in terms of hsc papers in the 49 days we have left

 

[synthesisFR]

damnn howd u go

 

[HSCya1234567]

damnn howd u go

76 raw so okay but i need to figure out how to do some questions

 

[synthesisFR]

DAMN THATS CRAZYY

 

[HSCya1234567]

DAMN THATS CRAZYY

thankyou thankyou i appreciate it

 

[mmmmmmmmaaaaaaa]

yeah i got curious and I wanna get through to 2010 in terms of hsc papers in the 49 days we have left

you’ve already done the hsc paper from 2010-21???

 

[HSCya1234567]

you’ve already done the hsc paper from 2010-21???

no no no no no i wish im going backwards

 

[mmmmmmmmaaaaaaa]

no no no no no i wish im going backwards

why? fair enough then… 76 is good for last year was a tough one

 

[HSCya1234567]

why? fair enough then… 76 is good for last year was a tough one

idk, It was at the top of the pile, im working forwards for chem backwards for latin since there are only 3 past papers and none for latin x and forwards for english

 

[SadCeliac]

Why are you going from 2010?? Isn't that old syllabus stuff?

 

[SadCeliac]

Good job though - deduction is real 🥲

 

[HSCya1234567]

Why are you going from 2010?? Isn't that old syllabus stuff?

I present to you this beautiful question from the 2010 hsc called the basel problem. Try it!

Very relevant for our exam, since they haven't done an integration question 16 since 2020 I believe. Maths does not really change that much syllabus wise, obvs there is stuff I skip but its maybe 2 or 3 questions

 

[tywebb]

This method follows the method published in the American Mathematical Monthly in 1961:

Matsuoka, Y., An Elementary Proof of the Formula , The American Mathematical Monthly, Vol. 68, No. 5 (May, 1961), pp. 485-487.
( https://www.angelfire.com/ab7/fourunit/matsuoka.pdf )

Here it is with a bit more detail than in the American Mathematical Monthly article

 

[HSCya1234567]

actually, can someone please explain the diagram?, I understand all of it up until S2, i understand that this is the orange line, but how does that make the circle S?

View attachment 39462

I still need help with this xx I got all nerdy there but please help

 

[tywebb]

I present to you this beautiful question called the basel problem.

It's not really the most efficient method. There are many methods. One of the most efficient methods is using Fourier series:






You can see how much shorter that is, and actually really easy compared to Matsuoka's very long and complicated proof.

 

[SadCeliac]

I present to you this beautiful question from the 2010 hsc called the basel problem. Try it!

Very relevant for our exam, since they haven't done an integration question 16 since 2020 I believe. Maths does not really change that much syllabus wise, obvs there is stuff I skip but its maybe 2 or 3 questions


View attachment 39466


View attachment 39467

I will try it when I feel mentally ready