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Re: HSC 2014 4U Marathon Another method (using triangle inequality): Use triangle inequality on the triangle with sides a, b, c and re-arranging them and subbing it into A results in: A \leq \frac{ab}{4} Now to prove that \frac{ab}{4} \leq \frac{a^2+b^2 + c^2}{4} a^2+b^2+c^2...

dirty boi

Step: -Normal application of quotient rule -Common denominate the numerator -Simplify and put everything as 1 fraction $Let $y = \frac{2x^2 + 1}{\sqrt{x^2+1}} \\ \\ \frac{dy}{dx} = \frac{(4x)\sqrt{x^2+1}- \left ( \frac{x}{\sqrt{x^2+1}} \right )(2x^2+1)}{x^2+1} \\ \\ \frac{dy}{dx} = \frac{\left...

To improve concentration: DON'T multi-task because it reduces short-term memory, so whatever u are doing, do it properly and only think about it, dont think about other things

u subtracted top curve from bottom which is correct but some other people might ask why don't u subtract bottom curve from top curve? by looking at the curve and points A and B, u can say that the y-coord of A is greater than the y-coord of B. so if u subtract bottom curve from top u get a...

Great movie, better than the first (hunger games right..)

Part (i), i can think of 2 methods Method 1: It is a series and there are only 2 series u know: arithmetic or geometric Method 2: Use this z^n - 1 = (z-1)(1+z+z^2+z^3+...+z^(n-1)) ii) When u solve (i) you know which roots belong to that equation (say A, B, C, D), but to express it in the form...

ok cool, yeh i used isos triangle too

Did u guys use circle geometry (with root of unity) and pythagoras?

http://news.ninemsn.com.au/entertainment/2013/12/01/14/27/us-actor-paul-walker-killed so sad...

nah, i'm asking how did u deduce that d = 'blah' with that equivalency (x^2-2x+5 = 4x-x^2) Below is invisible because i dont want Smile12345 to see it yet: so, say the x-coord of point X and Y is x = x1, now the points X and Y become: (taking into account that they have the same x-coord) Then...

i dont understand your working out for part (a)...how is d = 'blah' when their x-coordinates are the same? (d is the distance between X and Y)

Whoever taught you that is working for the DEVIL! That rule only works when the power is a constant (in this case, 'x' is a variable). When u differentiate ex, the result is just ex (this is the easiest thing u need to differentiate, its just itself!!!!) Proof: y = e^x ln(y) = x x = ln(y)...

I agree with this 2013%. There's nothing wrong with this idea

1) If the wire is cut into 2 pieces which form 1 square and 1 circle, then this means that the perimeter of the square and perimeter of the circle is equal to 3 Let perimeter of square be P1 Let perimeter of circle be P2 Let the side of the square be 'a' Let the radius of the circle be 'r'...

^delete ur post really quickly QZP, hurry up!

Q1 a) Y is directly below X, so to find distance XY, just get top point minus bottom point (y-values) (XY is a vertical distance) Before this is all done, tell me what point X and Y are b) Calculus Q2 a) U can do this, use what they gave u, the point (-1,2) lies on AB --> what does this...

So...find point M and gradient of line parallel to 6x - 2y + 7 = 0, then use point-gradient formula However, i think there is another method! We need to find eqn of line passing through M and is parallel to 6x - 2y + 7 = 0 (i.e. same gradient). what line passes though M? Line 'l' RIGHT...

Re: Official LoL thread yep yellow one

Re: Official LoL thread nah i dont play olaf lol, was just trolling the things i remember/know about pre-S4 are: -supports can get more gold -supports don't get behind in levels -the passive of nasus got a nerf and he got a make-over -there are 3 new items called trinkets that cost no gold...