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I'm happy because for Year 12, I'll be able to drop Extension English and I won't have a piano exam to worry about. :) I_F

I don't think you'll be getting an assessment every week, so there's no need to panic just yet. I_F

It's a Greek letter - Ө = 'theta' I_F

by first principles lim h-->infinity (f(x + h) - f(x))/h Have fun differentiating (x² + 4)(3x² - 2x)^6 by first principles. :) I_F

Deriving log functions and exponential functions isn't part of the Prelim course, so you might like to try the Maths forum. :) I_F

You get them from your unit circle - When sin theta = √3/2, theta could be 60 degrees or 120 degrees (since sin is your y-value). But because your final angle is multiplied by two, you need to go around the circle once more - when you halve 420 degrees and 480 degrees, you get two results that...

You'll apparently need the chain rule later on, so it's probably worth learning now. It's basically the function of a function rule - where u is the function without the exponent. dy/dx = n.f'(x).f(x)^n-1 dy/dx = dy/du * du/dx It's confusing on the screen, but written out it makes much...

I'm pretty sure a stoichometric relationship is the ratio between the quantites of the reactants in a chemical reaction, e.g. Ca + H20 -> H2 + CaO. Stoichometric relationship of reactants is 1:1. I think. EDIT: kazan's probably right on the money. Molar heat of combustion. Remember how to...

solve: 2sin2B=√3, for 0° _< B _< 360° (_< means less than or equal to) sin 2B = √3/2 (divide both sides by two) Since you're multiplying your angle by 2, you have to multiply your domain by two, so we're looking for angles between 0 and 720 degrees (when you divide your answer by two...

Alright. Basically: if y = u ÷ v dy/dx = (vu' - uv') ÷ v² Every time you do a question using that rule, write it out. You'll remember it once you've written ten times or so. The numerator is u and the denominator is v. The best way to remember it isn't by sitting there looking at it -...

Plane is your x and y Cartesian plane. Number line is... a line... with numbers along it. I_F

Random board errors. They've been popping up a lot today - don't worry too much about it. I_F

That's the spirit. Study nothing, crap on as much as you can. I_F

The ' simply means the derivative of u and the derivative of v. vu' = v x the derivative of u. Hmmm... funky thread errors all over again... I_F

Tee hee. Errors all over the shop. :p Find the focal length, the equation of the directrix, and the coordinates of the focus of the parabola with equation x² = 12y Find the equation of the normal to the tangent to the parabola x² = 8y at the point where x = 4 I_F

I'm going to keep 12 units - with two as backup come the HSC. Don't much like Economics exams, though. We'll see how we go. 2U English 4U Maths Chemistry Physics Economics I_F

I still have 3 days of exams and then half a week of school after that... and we don't find out our school captains till next term. :( p.s why does everyones posts go above mine? There's an error in the board software. It's going a bit cuckoo again. I_F

Just quickly: my maths teacher uses "derive" and "differentiate" interchangeably, so that's why I've used "derive". Also... I need to be awake when I write questions, it seems. :p What is the equation of the tangent to the parabola f(x) = x² + x - 2 at the point where x = -4? I_F

Whoopsie, I'll fix that error... And the factorisations are meant to be "simple". They're straight off a few past papers I've done - that's what they ask, the perfect square, difference of two squares, sums/diffs of cubes, etc. I_F

Derive the following functions: 1. f(h) = h² 2. y = 4x³ 3. f(x) = (x + 5)^6 4. y = (2x² + 3x) ÷ (4x - 7) 5. f(x) = (2x² - 6x)³(3x³ + x)^4 6. y = 1 ÷ √(x-4)³ 7. f(w) = (5w - 2)(3w² + 4w)^-5 Fully factorise the following equations: 1. a - 4a + 4 2. a^4 - 16 3...