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I think the first question should have a 1 in the numerator as when evaluating the second, you.need to perform a double substitution where one is the same as part (I).

By using, \alpha + \beta = (\alpha^{1/3} + \beta^{1/3})(\alpha^{2/3} - (\alpha \beta)^{1/3} + \beta^{2/3}) and letting x = \alpha^{1/3} + \beta^{1/3}, then rearranging to get: x^3 - 6x - 5 = 0 (x + 1)(x^2 - x - 5) = 0 Not sure on which value i should take as the solution lol.

+1 much easier

At higher pressures, there may just be sparks jumping and at even higher, nothing will happen. The electrons need to be able to accelerate after leaving the cathode (only possible with low pressure meaning minimal air molecules) and collide with air molecules to cause fluorescence (glow).

That's a weird way of thinking of it lol. "Active sites" on yeast.. They're microorganisms performing anaerobic respiration! +1

Chemistry, use the lowest number of significant figures used in the question.

I've been taught that in Physics, it doesn't matter. Or maybe that's just my teacher..

The question states the metal ions and shows the ion of B to be B2+. The safest and most correct way to use the ion in the equation would then be B2+.

I believe you're allowed to use the MX1 method in Physics, just that you'll be wasting precious pen ink and time when you could get the answer in much fewer lines using the given formulae.

Algebra: (18, 1/3) or (2, 3)

Re: HSC 2012 Marathon :) lol.. Can't be bothered redoing.. Will do when i have time. So prone to silly mistakes because of the numbers involved. :S

Re: HSC 2012 Marathon :) Exactly what i used. Also angle 60 degrees between the 6.5 and 12.

Re: HSC 2012 Marathon :) 9.8m? I drew the diagram wrong the first time lol.

Re: HSC 2012 Marathon :) Probably made a silly mistake like i usually do haha. 2.7m?

To solve for three variables, wouldn't you need three equations?

Re: 2012 HSC MX2 Marathon I like this question. :) $The polynomial equation $ x^4 + 4x^3 - 2x^2 - 12x - 3 = 0 $ has roots $ \alpha, \beta, \gamma~and~\delta. $ Find the polynomial equation whose roots are $ \alpha + 1, \beta + 1, \gamma + 1, \delta +1 $Hence or otherwise, Solve $ x^4 + 4x^3 -...

Don't feel like doing work with 3 assessment tasks coming up..

In Physics, once you've wrapped your head around the concepts, it isn't too bad. Personally, i find physics far more interesting than chemistry. Just that chemistry is easier haha.

Yep lol. Thanks

It doesn't mean that e^3x has to be a linear function.. The line is just a tangent and 3e is correct.