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Re: HSC 2013 2U Marathon $Show that \tan^2 \gamma = \tan^2 \alpha + \tan^2 \beta

Re: MX2 Integration Marathon Generalise: Let I_n = \int_0^1 \frac{x^{2n}}{1+x^2}dx I_n = \int_0^1\frac{x^{2n} + 1 -1}{1+x^2}dx \\ I_n = \left ( \int_0^1 \frac{(x^2)^n + 1}{1+x^2} dx \right )- \frac{\pi}{4} \\ \\ I_n = -\frac{\pi}{4} + \int_0^1 \frac{(1+x^2)(1 - x^2 + x^4 - \dots +(-1)^{n-1}...

Re: Chess thread? ok, WAIT NEVERMIND

LOL! Seriously? No joke?

$Prove that $ tan3x = \frac{3tanx - tan^3 x}{1-3tan^2x} tan^3 = tan3

http://www.youtube.com/watch?v=pwNMvUXTgDY

Re: Are Past Paper Booklets + Recapping knowledge on topics part and parcel of studyi Expose yourself to HSC questions by doing past papers The way I remember formulas is repetition then do some questions to apply the formula (eg. sine rule, do some questions on it in the textbook or...

Same

hahahahahahahahahahahaah! cant rep u anymore

What is your aim Mr Pheonix?! Show that Q lies on the parabola right? That means Q must satisfy the parabola right?(keep this in your mind) What is Q? It is the intersection between the normals at P1 and P2. Find the point of intersection of these normals to find Q If we sub in Q into the...

Step 1: Read question Step 2: Draw diagram Step 3: Read question again Step 4: Identify an aim Step 5: Work towards your aim by using information given

Dont bring in powers of TWO because since u already have a pwoer of THREE, and a 1, u can use cubic factorisation If u did it ur way: z^3 = -i^2 z^3 + i^2 = 0 How do u solve this? Go back, z^3 = -i^2 If u REALLY wanna keep the i2, then let z = rcis(theta) to solve for 'z'

a) z3 = 1 b) z3 = -1

(i) Find the prob. of Darcy winning game 1 He wins if he hits target at LEAST once and he given TWO darts P(win game 1) = P(hit target once) + P(hit target twice) P = \binom{2}{1} \left ( p \right )^1 (1-p)^1 + \binom{2}{2} (p)^2 (1-p)^0 \\ \\ P = 2p(1-p) + p^2 \\ \\ P = 2p - p^2 same...

hahahahhahahahahhaha!

If you have an integral in this form: I = \int \frac{dx}{a^2 - x^2} (the denominator can be factorised using difference of 2 squares) Instead of using partial fractions, u can memorise: I = \frac{1}{2a} ln \left | \frac{a+x}{a-x} \right | +C

idk what iupac is lol Common name: Vinyl chloride Systematic name: Chloroethene Common name: Ethylene Systematic name: Ethene Common name: Styrene Systematic name: Ethenylbenzene or phenylethene Common name: Acetic acid Systematic name: Ethanoic acid Common name: Formic acid Systematic...

Re: HSC 2013 2U Marathon at least in the end of your working, have a quick outline how you integrated tanx with respect to x (unless you memorised it) AND, have you ever learnt how to integrate something that has an absolute? |cotx| = \pm cotx (gotta choose plus or minus carefully)

Re: HSC 2013 3U Marathon Thread is it 4944?

Re: HSC 2013 2U Marathon You need to provide more working out when integrating tanx with respect to x also \sqrt{cot^2x} = \left | cotx \right |