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Yes, but the second one is actually 2npi +/- 3pi/4.

a = 12 v = 12t + c at t = 5 v = 2 so c = -58 v = 12t - 58 x = 6t2 - 58t + c t = 5 x = 3 c = 143 x = 6t2 - 58t + 143 Sub in t = 10 ii) same sort of thing - you have the information that at t = 0 v = 0 x = -2 which you can use to find the constants of integration.

V = piD2h/4 A = piD2/2 + piDh h = 4V/piD2 A = piD2/2 + 4VpiD/piD2 A = piD2/2 + 4V/D dA/dD = piD - 4V/D2 (V is constant) d2A/dD2 = pi + 8V/D3 which is always positive so any stationary points are minimums. dA/dD = piD - 4V/D2 = 0 piD = 4(piD2h/4)/D2 piD = pih D = h

sin(3A) = sin(2A + A) = sin(2A)cos(A) + sin(A)cos(2A) = 2sinAcos2(A) + sin(A)(1 - 2sin2(A)) = 2sinA(1 - sin2A) + sin(A) - 2sin3(A)) = 2sinA - 2sin3A + sinA - 2sin3A = 3sinA - 4sin3A

Trial marks will likely be lower than the HSC mark because aligning usually works such that the aligned mark is higher than the raw mark. Scaling basically works as follows - a scaled mean is then worked out for each course based on the average overall academic achievement of students in...

OK, so why don't you believe the world will suddenly end tomorrow? You can not disprove that either, and that matters to you. We can only base what we believe upon what we observe - on our experience of the world. There may not be other minds in existence, but that I perceive there to be...

No, it won't count.

I think don't think she was saying that - she was responding to the person who claimed the world was created in 7 days? But Eden didn't actually exist, right? It's just one of those 'aetiological myths'. Besides, doesn't sending Jesus suggest that he's not just leaving 'mankind to do as it...

No, given that you have the knowledge that at least one die is a five, you should only take into account those possibilities. Your answer is correct to the following question: What is the probability that there is at least one five and the sum is greater than 9? That is completely...

I agree with you. Answers wrong?

In the past few years no one has got 100 in either Physics or Chemistry. However, if you are top of the state, your scaled mark will be 100 anyway. Last year, for example, 98 was enough to get a scaled mark of 100 in both subjects. Remember that doesn't mean 98%, it just means an aligned mark of...

ii) Are you sure the question is complete now? By first three values of x do they mean the first three positive values of x? 2x - 1 = pi/2 + 2kpi, where k is an integer. (Sine repeats every 2pi) 2x = pi/2 + 1, 5pi/2 + 1, 9pi/2 + 1 x = pi/4 + 1/2, 5pi/4 + 1/2, 9pi/4 + 1/2 iii) The common...

My friend did exactly the same subjects as you, got 86 in English and got 99.6 UAI, but he completely owned everything else. I went to a selective school ranked in the mid 20s and also hated English with a passion. In the end I managed to get 87 in English, and low 90s in my other subjects...

Re: Semester II Chatter Thread! Pretty much, but he has facial hair now. I saw him on the bus today :uhhuh:

Haha thanks, I don't actually know - we never got our marks back for it, but I got HD for the course overall. What are you planning to do? How was the residential?

Yeah and don't forget the constant of integration. Sub in t = 0, x = 0 to find its value.

cos(p+q) = cos(p)cos(q) - sin(p)sin(q) cos(p-q) = cos(p)cos(q) + sin(p)sin(q) Multiply them and you get: [cos(p)cos(q)]2 - [sin(p)sin(q)]2 = cos2(q)(1 - sin2(p)) - sin2(p)(1 - cos2(q)) The sin2(p)cos2(q) terms cancel and you get cos2q - sin2p

I don't know where you get f(x) = 1/2cx^2 - 2cx + d from the constant is not d, but another number (call it k) You then have f(0) = 4 = k f(x) = 1/2cx2 - 2cx + 4 f(2) = 0 2c - 4c + 4 = 0 c = 2 So you get f(x) = x2 - 4x + 4 EDIT: Actually I think I might know where you were going wrong - d...

Perfectly fine :) I would think that you put the limits the wrong way round.

lol forgot the limits - couldn't see them properly :p. -2 -(- 2.5) = 0.5