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nah it's up there with the highest diploma levels. much higher than 8th grade at least.

Curve Sketching, Complex, Conics, Polynomials, Integration, Volumes. Mechanics and harder 3u to go. woohoo.

yeah i see there's a slight manipulation needed. i suppose this is the general method to do any torus problem, since you'll always encounter such an integral. thanks for the help.

the average uai is thus 67 or so.

i was just saying: not all reactions are in equilibrium, despite seeming so. hence the need to find out whether it is or not.

what about if it is still changing its position on the equilibrium scale, but its macroscopic properties remain the same?

thanks for the info. in the first attachment, torus q, inside the red box, how do they know the second integral is 0? is it because the integrand is odd? and in the second attachment, alternative method, how did they integrate the first integrand? or did they just skip some steps? thanks again.

turns out i still got an incorrect answer. can someone please do the full working?

aaaah i see. i completed the square but i thought it was necessary to have trig functions outside the sqrt to be able to be "used up". thanks!

cambridge 6.2 q7 and 8. page 192 so you have to use cylindrical shells method to find the volume generated by the circle (x-1)² + y² = 1 about the y axis. the problem is that i get to the bit where you need to integrate xydx but y is sqrt(2x - x²) so overall, integrating x.sqrt(2x-x²) i...

^which school is this? Eng Adv: AOS, Emma/Clueless Maths E1: Polynomials, Parametrics of Parabola, Further Trig except 3D trig Maths E2: Complex, Polynomials, Conics Chem: Module 1 and half of Module 2 Phys: same as above it's clear that my school is very behind in everything except ME2...

do you guys think it is a good idea to study and get familiar with the 2 and 3 unit topics of "applications of calculus to the physical world" topics before starting mechanics? i started by looking at cambridge and terry lee, but i could understand neither. also, any hints? tips? i'm starting...

looks like a very easy and unoriginal exam. but still, that's to be expected, since your teachers probably won't have the time to think up original creative and difficult problems unlike the people who make the HSC problems (all of whom wanting to "show off" anonymously :))

ionisation can occur as long as there is enough energy (hence "first ionisation energy"). i mean, even noble gases can be ionised, despite having the "wanted configuration". as for the actual limit of how ionised an atom can get, i have no idea (not HSC). i would imagine there is no limit, as...

Mathematics Extension 3

yes, of course. i can't believe i asked such a noob question. it is obviously the latter, since all those "evidence" for time dilation and stuff, like the one where they put one atomic clock on the rocket and fly it around for a bit. at the same time an identical one is on earth. the one on...

ok i think i know what you mean now. thanks. the only thing is this: say you are on earth observing a spaceship travelling past you. so to you, the time on the spaceship is dilated. but what does that mean? i.e. does that mean that for every 1 second you time on earth, more than 1 second...

say you do 12 units, 4u eng 4u maths 2 chem 2 phys if u get 0/100 for phys. do all 4 of ur eng units count?

i see you are familiar with the T/T method. aka triangle trick. gah i got stuck on a trig question in todays 4u test. cos3x = cos4x. solve. damn it.

hey airie, in the first sentence you say that to the outside observer, the length of that the light moves is shorter, but in the last bit you say that it is 1/0.6 m, which is clearly longer than 1m. anyway, once more for clarification: a passenger holds up a metre-ruler in the train in the...