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I noticed that and had a laugh. 27 has the correct answer for both of them, whereas the answer for 22 is wrong. I remember doing it and thinking "What?" the first time and "Hey, that's familiar" the second time... :p I_F

My understanding of the square root of the f(x) is that it looks like the original function except it's flatter and doesn't exist when f(x) < 0. If the original function has an inflexion point, the square root of it will too at the same point (but flatter and lower down on the y-axis). I_F

Yeah, that PS3 thing is a bit overdone. PCs can still do plenty that consoles can't and probably won't be able to do for a while. With shifting work from CPU to GPU, I read the other day that Mac OS X 10.4 (Tiger) actually creates its desktop and screen as a complete OpenGL texture, and there's...

Order's been finally sent off... we'll get our jerseys... sometime. The colour scheme is apparently a white base with gold and blue stripes of varying sizes. I hope they come out better than they sound... I_F

T = 2pi so n = 1 (as T = 2pi/n) The particle starts at 3 metres from the origin. Therefore a = 3. Acceleration = -n2x Therefore when x = 2, acceleration = -2 m/s2 (Velocity)2 = n2(a2 - x2) v2 = 1(9 - 4) So v = √5 m/s I_F

The closer the magnets to each other (and hence to the armature coil), the stronger the magnetic field in the armature region and the greater the current generated. The converse is also true. I_F

Following on from darkliight, the integral is: x.loge(x) - x But don't worry. In 2 unit they will guide you to it, i.e. something along the lines of: Differentiate [x.ln(x) - x]. Hence or otherwise, evaluate 1&int;2logex dx I_F

Why not? It makes sense - the final work will be the beta code or an updated version of the beta code, yes? A few will probably get started early, with more coming in as we go, and once Vista's out the floodgates will open. If it can resist, brilliant. Then it'll deserve OS of the year. It's a...

If you think the HSC sucks, wait till you get into the real world. Tough it out - these are probably the best years of life. I_F

I think the speeds are there to throw you off - I'm not 100% sure on annihilation, but I don't think previous kinetic energy has any or much impact on the produced energy, since it's comparatively much smaller (i.e. you multiply by the speed of light squared for annihilation, compared to...

Talking about Vista's security now is a bit bogus because as it gets closer and closer to release, more and more hackers will target it. Whether or not it can resist them will be the key to its security. Besides, it still has to come out yet, and there won't be much of 2006 left when it does...

Isotopes of a particular elements have the same number of protons in their nuclei but different numbers of neutrons and hence different atomic masses. Isotopes may also differ in their stability - some may be very stable, and others may decompose into other elements through radioactive decay. I_F

You need to expand the right hand side and equate coefficients of x2, x, and whatever's left: 2x2 - x - 1 = mx2 + 2mx + m + px + p + q Therefore m = 2 (equating the x2 terms). So we take out the x2 and writing 2 in for m: -x - 1 = 4x + 2 + px + p + q -x - 1 = x(4+p) + p + q + 2 Therefore 4 +...

Keeping off BOS is an excellent idea. Actually working... even better. You and me Riviet. Same subjects. Same strategies. Same HSC. Who will come out on top... :p I_F

I believe the increased density is to do with haloalkanes having halogen atoms replacing hydrogen atoms in their structure. Halogen atoms are much heavier than hydrogen atoms, and this contributes to the substance being denser. I_F

Check out Wikipedia's article on CFCs here: http://en.wikipedia.org/wiki/Haloalkane That article has all the answers you want. :) I_F

Physics is based on Maths. You can't go very far in Physics without running into Maths. ;) I_F

Mc_Meaney, your working for 2 is correct. :) Δ = b2 - 4ac = 1 - 8(b+1) Therefore, for no real roots, 8(b+1) must be more than 1 b+1 > 1/8 b > -7/8 I_F

The energy of a photon is determined by its frequency, and the intensity of light is determined by the number of photons. When a photon strikes a metal and is absorbed, it will only cause electrons to be ejected if its energy is greater than the work function of the metal. Hence, if the...

Reinstall Windows. When you put your Windows CD in and you get the blue setup screen, press Enter (i.e. "Press Enter to setup Windows"). Then follow the prompts. The process will basically wipe Windows and replace it with a fresh version, but it will leave all your files alone. To do this...