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Annuities is 2U, but this one is particularly hard, since it's not straightforward and requires fiddling with the resulting equation. You might want to try an easier one to keep it 2U. :) I_F

No, it's u = (1-x2). u = (1-x)2 is just as hard as u = (1-x) to do. :p I_F

Firstly, since we're spinning about the y-axis, you need to rewrite the equation in terms of y: y = 4 - x2 4 - y = x2 x = ±√(4 - y) It's a volume, and since we're spinning about the y-axis, we don't need to have the plus/minus (since the volume will go through the plus and minus square roots...

Are you sure the substitution's u = (1-x)? That makes life very difficult, if not impossible. Using the substitution u = 1-x2 is straightforward (find du/dx and hence du, sustitute, integrate, substitute original expression back in). I_F

I got an Excellence Award in the RACI (Royal Australian Chemical Institute, I assume you're saying) comp last year without any other books. It's not really that difficult, since it's multiple choice, and often you can make decent guesses through elimination. I_F

UAI is determined by supply and demand for courses. So either more places were made available, or not many people wanted to do Forensics. It's almost impossible to predict which way cut-offs will go year after year, so just try your best and aim high to give yourself the best possible chance. :)...

To cut a long story short, you can't integrate it without having done the exponentials and logarithms chapter. You cannot integrate anything to the power of -1 (as this function is) through the normal way. The result is: [loge (x - 7)]139 (since the derivative of the loge f(x) is f'(x)/f(x))...

Just a note, this isn't exponentials and logs - it's exponential growth and decay, which is under Applications of Calculus to the Physical World. :p Anyways, for the first part: y = Aekt (formula for exponential/natural growth, k is a constant) dy/dt = k.Aekt = k1y (given - k1 is the...

V = (1/3)πr2h but h = r, so V = (1/3)πr3 dV/dr = πr2 so dr/dV = 1/πr2 dV/dt = 24 So dr/dt = dV/dt . dr/dV (chain rule) = 24/πr2 S = πr2 so dS/dr = 2πr dS/dt = dr/dt . dS/dr (chain rule) = 24/πr2 . 2πr = 48/r cm2/s but r = h = 16 so dS/dt = 48/16 cm2/s = 3 cm2/s There we go. It can...

If the pressure increases, equilibrium will shift to the shift with less gas molecules or less moles of gas. This is because equal volumes of gas at equal temperature and pressure inhabit the same volume. So less gas = less volume = less pressure, to minimise the disturbance (as per Le...

I have the Chem Revise in a Month, but no others. I usually use my textbook, my teacher, and HSC Online for theory work. I_F

Just had an Economics assessment today. It was a bit long for the time we got, but I think I did well. Just have to wait for the results now. I_F

Re: Renae Lawrence - Life in Prison. First of Bali 9 to be Sentenced Unfortunately, no mistake in teenage years comes close to the mistake the Nine have made. What's worse, it wasn't even a mistake at all. I_F

You have got to be kidding me. I_F

No, it says that Vista is likely to have some form of TC support. It won't have the Palladium with all the bells and whistles and walls. And in another Wiki article: Microsoft's initiative is called NGSCB (formerly Palladium). A full implementation of NGSCB is not expected to be a part of the...

Just something else: electrolytic cells are no longer in the syllabus, so you don't need to know anything about them. :) I_F

Projectile motion assumes no wind resistance or other pesky effects that throw calculations off. Besides, if the angle was "less than 15 degrees", what exactly would it be? It's just too hard to work with. :p I_F

Someone will find a way around it. That is, if privacy advocates don't manage to nuke it. Microsoft's Palladium has been delayed and/or scaled back, last I heard, though I could be wrong. They wouldn't bother putting all the new security features in Vista if Palladium was on time and working...

The ones who are burning down embassies and execute terrorist attacks is the general definition. The ones who give the rest of Islam a very bad name. I_F

That or they get 100. Probably the former. I_F