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Re: Math help (Because Carrot made me do this) Addition of Ordinates (and stuff like that) is a 4U topic I think, so I dont think you will ever see it again but they might test you to try and filter out the smarter students from the rest. Here it goes: y=\sqrt{x+1} + \sqrt{x-1} Ok to...

Caring about little things such as units is a skill that is needed in order to be more careful with maths (and others subjects), in order for the mistakes not to happen as often. Since alot of the time they are just caused by the student just plowing through the exam not looking back at their...

Re: Math help (Because Carrot made me do this) Ok, in reality what we do is we test both negative and positive large values, the thing is, for certain functions it is redundant to test negative large values because we know they dont work. y=\sqrt{1-x} We know that any large positive value...

Its -2bc not 2bc, this is the mistake that cost me a mark in trial 1 for 2u.

It is the only real reason why sciences are seen as 'hard', the science syllabus for HSC (all of them) half of it is utter crap really. Instead of teaching advanced topics in school that are interesting and and good (which are hard to understand etc etc), instead we get socio-economic science...

Yeah I forgot I asked hehe, sorry

The things that you should 'rote' are things you use so much in exams and practise and whatnot, it comes automatic. For example using the distance formula or differentiation of \tan ^{-1} x , stuff that you use alot. For example it would be really unwise to memorise the tangent to the parabola...

Can I see the paper?

As long as people dont think effort=a lot of rote then to an extent enough effort input will result in a good mark output,

Re: Math help (Because Carrot made me do this) Is this because for example: a_1 x^n+a_2 x^{n-1}+a_3 x^{n-2}+...+a_{n} x +a_{n+1} =y So if we have an (n+1) number of points, we have an (n+1) number of y and x pairs, hence we can simultaneously solve for every constant?

Do you have a bad cohort or is it an insanely difficult test (great work either way)

Re: Math help (Because Carrot made me do this) We dont really need to find domain and range, it just helps immensly, for example if our domain was y> 1, then when we graph it we know that the graph cannot go lower than y=1, likewise, if our range is x<2 for example, we know that x cannot be...

It was the old Projectile Motion + Binomial Theorem combination (oh I think it had related rates there too)

I got 96% in my trial 2, and I came second, after the usual first place who managed 99... I tried so hard yet I couldnt make it.. :( I lost 2 marks in multiple choice and one in the last question (independent paper)

Re: Math help (Because Carrot made me do this) That graph cannot go through the origin. But to sketch this, first find domain and range, the domain is all x less than or equal to 2. The range is y is less than or equal to zero. This is because anything inside the square root is always positive...

Part 1 of solution: Part 2 of solution:

Do you want a solution or a general walkthrough?

Yes because: Lets take the area underneath the curves f(x) and g(x), lets say: \int_b ^a f(x)-g(x)=m-n Here we are assuming that f(x) is above g(x) for all the domain in the limits of the integral, now: \int_b^a g(x)-f(x)=n-m=-(m-n) \\ |-(m-n)|=m-n So you can absolute value them

Great paper man, I want to make a HSC prelim paper, but I think Ill do that after yearlies which are next week. I have great ideas for projectile motion

Ill take the tips into consideration, especially about cleansing my bowels :P Thanks guys Gnight