HSC 2012 MX2 Marathon (archive) (1 Viewer)

[IamBread]

Re: 2012 HSC MX2 Marathon

Are you sure this is right, it looks like RHS should be equal to -1*LHS

It's right.

 

[lolcakes52]

Re: 2012 HSC MX2 Marathon

Okay, because im feeling like an idiot and getting it consistently wrong apparently.

 

[IamBread]

Re: 2012 HSC MX2 Marathon

How are you doing it?

 

[kingkong123]

Re: 2012 HSC MX2 Marathon

Yeah that's probably a good idea. This one is for people who are doing their HSC, and not done it already,

 

[lolcakes52]

Re: 2012 HSC MX2 Marathon

Okay, I cant use latex so I have to explain it. Basically I let the primitive functions of f(x) and f(a-x) be F(x) and F(a-x) respectively. Then I evaluate them as one would usually and I get F(a)-F(0) and F(0)-F(a).

 

[IamBread]

Re: 2012 HSC MX2 Marathon

Well the way I would do it is the way kingkong123 did, except show LHS = RHS, not RHS = LHS.

 

[lolcakes52]

Re: 2012 HSC MX2 Marathon

But what I cant understand is why both of methods seem valid and yet they are mutually exclusive.

 

[Sidekickk]

Re: 2012 HSC MX2 Marathon

well RHS gives you something to work with, you wouldn't know what to do if you started from LHS.

 

[Rezen]

Re: 2012 HSC MX2 Marathon

lolcakes, the if F(x) is the primitive of f(x) then -F(a-x) is the primitive of f(a-x)

 

[zeebobDD]

Re: 2012 HSC MX2 Marathon

I eat Maccas, 8 times a week...So yes.

dw my sporty attributes will work off the fat

 

[largarithmic]

Re: 2012 HSC MX2 Marathon

You can like, do that integration thing just by considering the geometry of it right; like sending x -> a-x is the same as reflecting the graph about the line x = a/2, so the area under the curve between 0 and a is preserved

 

[Carrotsticks]

Re: 2012 HSC MX2 Marathon

You can like, do that integration thing just by considering the geometry of it right; like sending x -> a-x is the same as reflecting the graph about the line x = a/2, so the area under the curve between 0 and a is preserved

You really like your geometry.

Analysis ftw.

 

[IamBread]

Re: 2012 HSC MX2 Marathon

Never thought of it as geometry, I'm not really a geometry person

 

[largarithmic]

Re: 2012 HSC MX2 Marathon

Im pretty sure eventually you guys will find that stuff like invariance under reflection/transformation is far more useful and fundamental than stuff like integration by subtitution euclidean geometry itself is useless; analysis when thought slightly geometry is leet though. Theres a really really really awesome way to define continuity actually in terms of sets, regions, open sets etc thats basically thinking about it geometrically (getting on the topology side)

 

[cutemouse]

Re: 2012 HSC MX2 Marathon

You can like, do that integration thing just by considering the geometry of it right; like sending x -> a-x is the same as reflecting the graph about the line x = a/2, so the area under the curve between 0 and a is preserved

Yeah I think I realised during uni maths that it was just integrating starting from the "other end"...

 

[Carrotsticks]

Re: 2012 HSC MX2 Marathon

In 3rd year, I'm doing Differential Geometry. Looking forward to combining the worlds of geometry and analysis into one.

 

[largarithmic]

Re: 2012 HSC MX2 Marathon

In 3rd year, I'm doing Differential Geometry. Looking forward to combining the worlds of geometry and analysis into one.

Oh awesome, is that an honours course? I assume btw youre taking 2961/2 this semester?

 

[Carrotsticks]

Re: 2012 HSC MX2 Marathon

Oh awesome, is that an honours course? I assume btw youre taking 2961/2 this semester?

Nah it's just a 3rd year topic in the 'Pure' section.

And yeah I am, which tutes you got?

 

[seanieg89]

Re: 2012 HSC MX2 Marathon

Analysis ftw indeed, but symmetry is of universal importance in mathematics.

Side note: I didn't like the diffgeom course so much because the course was nearly completely embedded in R^3. It does make the study of differential geometry on manifolds easier to understand in the long run though i guess.

 

[largarithmic]

Re: 2012 HSC MX2 Marathon

Nah it's just a 3rd year topic in the 'Pure' section.

And yeah I am, which tutes you got?

Ah okay; 1st or 2nd sem? and I'm in mon 12 tute for 2962, and not sure about 2961 - any possible tute clashes with either phys chem or chinese lol, but Ill probably be going to the wed 2pm one - gotta work that out in next week, though.