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hmm.. should have thought of less obvious one :P

turtle and his pet coord bash.. *contemplates with suspicion*. anyway, I think you need to believe they are easy before you make any progress in your skills

learning terminology is for social sciences.. anyway.. when I say definitions come naturally.. it means.. things are defined in a way that makes things simpler and not complicated, if you find definitions hard to remember that's because it's not fully appreciated. some mathematicians spend...

show you how it will fail to exist? can't do that.. coz when people say the limit doesn't exist, they simply MEAN that one of the conditions/definitions are not met

first spot : 3 choices second spot: 3 choices are they independent? yes so 3*3 = 9

.. definitions are definitions.. no explanations required what's the whole point.. hmm consider: lim {x->c} f(x) = L existence of limits say guarantees that as long as your x <B>close enough</B> to c, then f(x) is as close to L as desired. some examples of limits.. suppose everyone can get...

definitins come naturally.. coz when you use those definitions, things generally turn out nicely

imagine going to the supermarket, .. the fruit and vegetable section. and imagine the fuits are lined up in the order of apples oranges and banana.. (how orignial. suppose you want to buy ... say R fruits, and you ask yourself how many combinations can you get (assuming *cough* all fruits...

I like to think of it as a road.. if is one ay traffic and if and only if is two way.

yeah some markers are a bit anal.

not quite what I was thinking of, probably a typo somewhere? consider triangle ACE, show that D lies on it's circumcircle hence deduce PRS are colinear then show PQR are colinear and the theorem I was refering to was the last one in the cambridge specimen papers. If I remembered correctly, it's...

Indirectly... unless someone's aiming for the medal, it's quite valid to keep others out of the equation and concentrate on the paper. coz the distribution of marks will be similar, you will always find 115+ freaks, quite some 100+, no matter which year it is

you are facing the paper, not them.

easy 1.) first do a sin^2(x) = (1/2)(1 - cos(2x)) subs. then you let t = tan(x), dx = 1/(t^2 + 1) dt the integral should equal integral {t = 0 to sqrt(3)} 1/(9 - t^2) dt 2.) sin2x = 2sin(x)cos(x) then you let u = sin(x) ...

he/she might have worked it out on paper and omitted it here or ... it's not that hard to do in the brain for some people

remember anyting inside a inverse sine or a inverse cos must be between -1 and 1 and inverse tan is defined for all values so for f it would be x is from -pi to pi for the second one there are not just 2, but infinitely many valid domains.

no.. there's not much ground to assume that. I would say SAM gives a pretty good estimate, but don't hold me liable if it is off.

mack: there are many freaks around this forum, especially for maths.

high 80 - low 90s

73ish