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< QPB = X + @ (exterior of triangle ABP) < PQB = X + @ (exterior of triangle LAQ) therefore BPQ is isosceles with PB=QB

that was my error it should be S(1.092-1) = 500*(1.09)12 - 500 which gives the answer you guys got

ii) vy must be between -200 and -200 sqrt[3] and vy = 200 - 9.8t hopefully you can see why that is iii) 350 is the vector sum of the x and y components of velocity v = 350 when vy2 = 350^2 - 200^2 and vy = 200 - 9.8t

since the derivative = 0, just sub in a value for x in the original equation and whatever value you get is the value for all f(x) for this question just sub in x=0 2cos-1(0) - sin-1(1 - 0) = 2pi/2 - pi/2 = pi/2

:lol:

yeah it was probably supposed to be a>b

Re: Maths Competition (4^3)^100 = 64^100 but (3^4)^100 = 81^100

if b = 200, n = 0.01, p = 0.0001 1/0.01 = 100 < 200 - 1 0.0001/0.01 < 1 (0.0001 + 1)/0.01 < 1 (if true) 1.0001 < 0.01 which clearly isn't true, so there's something wrong with the question I suppose the < a was meant to be < b? in which case you just add the inequalities

i) 6 ways to arrange the other 3, 4 ways to include kylie and jason, 2 ways to order those 2 6*4*2 = 48 ways 5! ways altogether = 120 2/5 probability ii) what exactly does alternate mean? iii) 8!/(4!4!) * 6!/5! 4/8*5/6 = 5/12

S = 500 + 500*(1.09)^2 + 500*(1.09)^2 +... 500*(1.09)^10 S(1.09)^2 = 500*(1.09)^2 +... 500*(1.09)^12 S(0.09) = 500*(1.09)^12 - 500 S = [500*(1.09)^12 - 500]/(0.09) = $10,070 I think

probability of getting all pink ones must be less than 1-0.99 = 0.01 (4/5)^n < 0.01 log0.80.01 = 20.63 therefore n = 21

x-1=(x-1)(1-x) / (1-x) if x=/=1, so they're not the exact same thing. Similarly, [1 - x^(2n)] / (1 - x) is the not the exact same expression as the one that the inequality gives, as it is not true for x=1. So for x=1 you have to use the original expression.

a)1+x+x^2>0 x^2+x+1/4>-3/4 (x+1/2)^2>-3/4 therefore true b)1+x+x^2+x^3+x^4>0 x(x^3+1) + (x^3+1)>-x^2 (x+1)^2(x^2-x+1)>-x^2 true if x^2 - x + 1 > 0 (x - 1/2)^2 > -3/4 therefore true too tired to do the other 2

ooh you're a cap'n jazz fan. nice :)

wtf guys this is death metal, not folk metal :(

you seeing them next month?

is this a good thing for a definition? unless it's implied that you're supposed to include the things that shape a person's identity, I personally wouldn't include them quite as much (I'm pretty bad at english though)

well for the bee question you would have to be sure that you can do D if you were using logic alone. I just made the longest one I could think of straight away, which was greater than B, and since C and E can't be done I concluded D. for questions numbered: 1. can't have 2 liars in a row...

you don't the know the P = IV equation? I = q/t, V = E/q IV = E/t = P you would use that to find I if you were P but not R

well obviously that depends on the person. some would find those to be some of the easiest courses. though if physics still had the old syllabus I would probably agree about it being elite