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Don't be stupid! You can put x = pi / 2*4^n ad infinitum...and still won't get an answer... Now****** cos(4x) = 8cos^4(x) - 8cos^2(x) + 1 Solve the equation 8y^4 - 8y^2 + 1 = 0 and deduce the exact values of cos(pi/8) and cos(5pi/8). *********** z = cis(x), z^4 = cis(4x) z^4 = (cosx...

My teacher's theory is that the BOS chose "Change" as the first area of study for the new syllabus because they wanted to brainwash everyone who did the HSC into thinking that "change" is "good", hence the new HSC is "good" because it's a "change" from the old syllabus. It's propaganda, I...

i dun think so. They said the wanted the semi-CV so they could find things to chat with you about during the interviews. Even though the UAI cutoff is 95.00, it doesn't mean anything much if you just make this boundary. They're still gonna select 130 from over 3000 applicants, so it means...

The funny thing is, Lazarus's first soln to a non-long-division way is actually longer than doing long division. Long division's the way to go, like it or not. You might as well apply it to everything if u need the practice.

from a (b-a) = (b+a) (b-a) to a = b+a # but a=b # #div/0 error (b-a=0)

No, I would have liked the old syllabus...it's more "user-friendly"

To Ace-Pilot: Have you seen the old physics course? It's a different genre altogether...

H2O is hot water, and CO2 is cold water

In fact, it was the students of pythagoras' school, not the person himself, who developed the equation as a theorem. "identify four applications of pythagoras' theorem in society"

I dun know whether this will work for you, but try to do maths questions more than one way. That way you'll understand how to do questions flexibly instead of mechanically.

How do you argue, then?

Yeh, here are some of my screw-ups: *Not putting the units on the title row, but instead putting it next to the figures *not giving the right number of reasons, etc. *not suggesting a "practical" or "viable" solution to a problem *incomplete reasoning: eg Why is the measured heat less than...

-It was an ad hoc mixture of classical and quantum physics. It assumed that some laws of classical physics held and others did not. Bohr said that electrons moved in discrete orbits. By assuming that they were discrete, he relied on quantum physics, but the idea of a determined, circular...

They should change the name of this course: something like "Physics and Society"

What I find hardest to accept is that you're being taught all this crap, and when you ask the teacher why this or that happens, the answer is always: "You're not required to know. It's not in the syllabus". Why do they bother teaching us all this crap when we don't learn the theory behind it?

Ok, here's the T(k) method done my way. It's remarkably similar to the first method, but anyways: (2+9x)^4.(5+2/x)^5 Let T(a,b) = (4Ca) * (2^(4-a)) * ((9x)^a) * (5Cb) * (5^(5-b)) * ((2/x)^b) The expansion is: Sigma{a = 0 to 4} ( Sigma{b = 0 to 5} ( T(a,b) ) ) Since T(a,b) =...

No, nothing is absolute. However, it'll take quite a while to find an atom of a gas in space. In fact solar wind is a flow of protons and electrons and ions. A proton and an electron would be what earthlings call hydrogen.

Firstly, there's no rationale in multiplying the (k+1)th term of the first expansion with the (k+1)th term of the 2nd. In fact, in this particular problem you don't. Secondly (2/x)^k =/= (whatever)x^(k-1) whatever way you look at it. Thirdly in your expression...

Well you won't really know the percentile rank until december this year, what people are doing are estimates from last year's results. What I meant (and it's probably a misnomer) by scaling is the decrease (or increase) in marks from the BOS mark (based on outcomes-based marking), to the UAC...

O, I've been ambiguous The BOS scales the mark from the actual HSC exam, and then UAC scales it again. I'm talking about the UAC scale-down...