HSC 2012 MX2 Marathon (archive) (1 Viewer)

[cutemouse]

Re: 2012 HSC MX2 Marathon

Trebla likes his GP type of questions

 

[largarithmic]

Re: 2012 HSC MX2 Marathon

Trebla's original question with limits 0 --> pi/2 was actually convergent. Just because a point is undefined, does not necessarily mean that the area is automatically infinite.

No its not...





Then as d approaches pi/2, cosd -> 0, and tand + secd -> positive infinity. So its pretty clear that the integral has to diverge

 

[math man]

Re: 2012 HSC MX2 Marathon

No its not...





Then as d approaches pi/2, cosd -> 0, and tand + secd -> positive infinity. So its pretty clear that the integral has to diverge

This does seem true, but e ing both
Sides then applying l hopitals rule
Will show this is actually convergent
As carrot said

 

[seanieg89]

Re: 2012 HSC MX2 Marathon

Umm no, largarithmic is correct...the integral does not converge. The hypotheses of L'Hospitals rule are not even satisfied here.

 

[Carrotsticks]

Re: 2012 HSC MX2 Marathon

Beforehand I was being lazy and checked the convergence using Wolfram (which claimed it converges and actually gave a value) instead of actually verifying it by hand.

Never again will I trust it for anything more than simple calculations ^^

 

[AAEldar]

Re: 2012 HSC MX2 Marathon

I don't want to spoil the party but...

Any chance we could have questions more orientated towards a regular MX2 student, or a little harder, but something that most should at least be able to attempt. A lot of people would probably be scared off, especially since you guys are into or out of uni maths already!

 

[Carrotsticks]

Re: 2012 HSC MX2 Marathon

I don't want to spoil the party but...

Any chance we could have questions more orientated towards a regular MX2 student, or a little harder, but something that most should at least be able to attempt. A lot of people would probably be scared off, especially since you guys are into or out of uni maths already!

Something I predict will appear in either the school Trials or the Complex Number exam term test (verified appeared in already 3 schools as per my prediction last year haha):

Find the value of:



OR

Find the value of:



Even better:

 

[nightweaver066]

Re: 2012 HSC MX2 Marathon

I don't want to spoil the party but...

Any chance we could have questions more orientated towards a regular MX2 student, or a little harder, but something that most should at least be able to attempt. A lot of people would probably be scared off, especially since you guys are into or out of uni maths already!

Should start at thread just for them elsewhere lol.

 

[math man]

Re: 2012 HSC MX2 Marathon

Umm no, largarithmic is correct...the integral does not converge. The hypotheses of L'Hospitals rule are not even satisfied here.

yes, i simplied expression in terms of sin and cos, and got it down to ln|1/(1-sind)| so yes it diverges

 

[math man]

Re: 2012 HSC MX2 Marathon

Something I predict will appear in either the school Trials or the Complex Number exam term test (verified appeared in already 3 schools as per my prediction last year haha):

Find the value of:



OR

Find the value of:



Even better:

come on so boring, (1) 2012 divisbe by 4 so 1, (2) collasping sum so boring, (3) AP with powers once you multiply them all.

I hope schools can take these and make them harder.

Combining these or putting in terms on n is a much better example as they would have to consider odd and even case

 

[Carrotsticks]

Re: 2012 HSC MX2 Marathon

come on so boring, (1) 2012 divisbe by 4 so 1, (2) collasping sum so boring, (3) AP with powers once you multiply them all.

I hope schools can take these and make them harder.

Combining these or putting in terms on n is a much better example as they would have to consider odd and even case

Haha, the first one actually appeared in 3 school #1 assessment tasks already. Too predictable.

 

[SpiralFlex]

Re: 2012 HSC MX2 Marathon

Any tippies for Spiral in HYs?

 

[math man]

Re: 2012 HSC MX2 Marathon

Any tippies for Spiral in HYs?

don't get anything wrong, k done

EDIT: did you mean chippies instead of tippies, cause i can do those for you

 

[SpiralFlex]

Re: 2012 HSC MX2 Marathon

.......

Is there any chance my ranks will improve dramatically?

 

[math man]

Re: 2012 HSC MX2 Marathon

.......

Is there any chance my ranks will improve dramatically?

if you get 100 then it definitely wont go down

 

[SpiralFlex]

Re: 2012 HSC MX2 Marathon

Deary....

 

[SpiralFlex]

Re: 2012 HSC MX2 Marathon

don't get anything wrong, k done

EDIT: did you mean chippies instead of tippies, cause i can do those for you

$2.50 for large at Maccas.

 

[math man]

Re: 2012 HSC MX2 Marathon

$2.50 for large at Maccas.

on thursday ill see what i can do

 

[Carrotsticks]

Re: 2012 HSC MX2 Marathon

Eugh Maccas fries.

 

[SpiralFlex]

Re: 2012 HSC MX2 Marathon

Shoe string fries. Perhaps you might want to stack them up and rotate it about the line y=4...

Maccas makes Spiral fat...