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McLake: no it's not 15/56 it's not 1/8 + 1/7 it's 1/8 (for getting the coin the first go) and 7/8 * (1/7) for getting it the second go, the factor of 7/8 is there because the coin should not be picked on the first go. 13/56 chance of not getting it? <- :confused: "43/56 not...

what's the paradox here? 46.7 % males treated recovers 38.1 % who aren't treated recovers 68.2 % females with treatment recovers 58.8 % females without treatment recovers. and always being subtly sexist we SNEAKILY decided to give different weightings to male and females, and those...

substituting x=a*tan(t) and and working with the reduction formula with cos looks easier.

conics: sometimes you need not solve equations eg, in circumstances where lets say line l intersect conic C, and you want the midpoint of the intersections, there's no need to solve the quadratic, you can use the relation between roots and coefficients or the quadratic. Look for symmetry...

Suggest reading: Any calculus textbook that covers power series / any analysis textbook. go through "mean-value theorem" , then "taylor series"

Digression: It's all turtle and Spice Girl's fault for starting the trend.

I am lost? what do MD/ ND stand for?

I think this is a valid question to be in the papers ... *cries* my HSC is coming up :( Using sin2x=2sinxcosx or otherwise, find I{pi/2-->0} Ln(sinx)dx just an outline: let I{pi/2-->0} Ln(sinx)dx = K K = I{pi/2-->0} Ln[Sin(2x)/2Cos(x)]dx by the substitution = I{pi/2-->0}...

some relations: you might need to read up something about power series. 1. Maclaurin Series: Exp[x] = 1/0! + x/1! + x^2/2! + ... + x^n/n! + ... Cos[x] = 1/0! - x^2/2! + x^4/4! - x^6/6! + ... Sin[x] = x - x^3/3! + x^5/5! - x^7/7! + ... and from these you can see that Exp[ix] =...

By the way, is it ok to perform these operations(differentiating, multiplying by a variable)on the infinite series in the HSC?

thank lazarus.

Differentiating! why didn't I think about that :confused: guess I can't become a medic nor an actuary :(

can anyone give an rough estimation of the aggregate required for 99+?

senses some *sarcasm* in that sentence. more like q30 of the AMC. by the way, would be interesting to generalize the question to finding the amount that is needed to be invested if at the end of n years n^i dollars is to be withdrawn, where i is an integer.

well no it doesn't, but considering you are in a selective school, you are in the top 10% what about us in the other 90

Actually the electron microscope would work better if particles aren't waves, because then the smallest dimension that can be measured need not be larger than the wavelength of the electron. ;) 1.) infinity is not an ordinary number, you can't mutliply it with 0. it's just some lame word...

That is another reason for you to aim to finish the paper. You're in a selective school, if you are looking for 6 only, what would that mean for us in a comprehensive highschool? :(

Go through those two textbooks and have a feel about the topic, it's not wise to only learning the dot points. www.particleadventure.com has something relevant, not alot though.

Underthesun: don't you want to know some more maths that whats in the syllabus?

c'mon you CAN do the whole paper, why aim low, considering it's 75% Maximum if you don't attempt the last 2 questions. besides, you usually come a little lower than where you aimed at, due to silly mistakes, badly worded question, sleepy markers, etc. Just curious, but which school do you...