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I'm glad I didn't get you fed up. I made that many mistakes... but I'm always happy to help out - it's good for me as well. :p When you rotate about the y-axis, you use the y-limits. When you rotate about the x-axis, you use the x-limits, just as in standard integration. I got that backwards...

I have just had my epiphany. An integral of 0 is correct - there is a positive side and a negative side. However, this is a volume of revolution. If you visualise spinning the integral around, it will spin through the lower part of the integral. You only need to find the integral for the "top"...

Sorry, it's fixed now. But it's also right now. Your limits are y = 0 and y = 1 (this is a rotation, so the part below the y-axis doesn't matter). Not -1 and 1. I_F

Certain unis have a "rural access scheme" that gives 4 or 5 bonus points to students applying from rural areas. Charles Sturt Uni, Newcastle Uni, Wollongong Uni, and the University of new England all run this scheme (also called EAS, Educational Access Scheme). I don't know of anything apart...

I didn't get any holiday homework, but I'm setting it for myself. This is an important year, and if you completely slack off these holidays it's not going to be any good. :p I_F

The right solution is: since this is a rotation about the y-axis, you need to first find the integral bound by the curves and the y-axis in one direction, up or down, and then rotate that integral. From the graph, the limits are y=0 and y=1 (the negative part is irrelevant since we're spinning...

Dammit! I'm having a very bad night tonight... :p It's your limits that are the real problem (yes, the right one this time :p I know my problem is blindness). You need to use the limits y = 0 to y = 1 (the y-values, since it's a rotation about the y-axis), which will give you pi as an answer...

My friend has had neither of these problems with his laptop, so more I can't say. I_F

Sorry, I completely misread that. But I now know what you did wrong. EDIT: See my post below I_F

Not too much paste. Too much and it's thermally inefficient. I_F

That's exactly the same formula except you divided through by the number of moles combusted. Normally for the molar heat of combustion, you work out ”H = MC”T using the change in temperature of burning one mole, anyway, so Dreamerish is right. But your formula's handy for questions looking to be...

A few years ago my school had combined Year 11/12 classes for Chemistry and Economics, off the top of my head. It's not actually that bad - you get less teacher time because they have Year 11 and Year 12 stuff to work on, but the class is smaller anyway, so the teacher has more time to work with...

A translator, perhaps? I_F

For our free periods, we have the choice of going to our common room, the library, outside in the sun, or any empty room we can happen upon. Most of the class seems to choose the common room for God knows why. :p Although we can't leave early or arrive late to school (technically, anyway). I_F

Quick reply didn't work for me when I first logged in this morning (Firefox 1.5), but now it's working and I have no idea why. I didn't change any options or anything. Try clearing out your cache, Scanorama, and see if that works. :) I_F

That's because whenever you click on a "box" now on the main page, it loads up the forum - not just if you click on a link. I ran into that a few times. You have to be more accurate with your clicks and you should be fine. It's annoying on a laptop, though. :p I_F

Thank you. And just remember: whatever you choose, no regrets. You only sit the HSC once (well, probably, anyway), so stick by your decision, and work as hard as you can to make it come off. Good luck! :) I_F

I'm in exactly the same predicament as you (I even have the same academic program). Maths if my favourite subject, but I found going to 4-unit so dreary (because I lost study periods). I'm still considering dropping it now, especially because my teacher's left, and I'm not sure who I'll get this...

Because you have to do really, really, really, REALLY well in 2-unit to match a decent 4-unit mark. Besides, if you love maths, who cares about the workload? That's half of what 4-unit's about... :p I_F

Firstly, top results for Year 11. Well done! :D The key thing to doing 4 unit Maths is that you must want to do it. You should have a strong interest and motivation for Maths to sustain yourself. If you're doing it simply for the scaling, then that's not good, because 4-unit is a very demanding...