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cos3x = cosx(1 - sin2x) So the integral = int (cosx/sin2 - cosx) Integral of -cosx = -sinx For integral of cosx/sin2x Let u = sinx du = cosx dx = Int 1/u2 = -1/u So integral = -1/sinx - sinx + c

Use the chain rule: [f(x)]n = n[f(x)]n-1*[f'(x)] This means; multiply by the power, reduce the power by 1, then multiply by the derivative of the function. 1. sin3x = (sinx)3 d/dx = 3sin2xcosx 2. cos22x = (cos(2x))2 d/dx = 2(cos2x)1*-2sin2x = -4sin(2x)cos(2x)

Yeah, constants are unaffected by integration, you just integrate the x and then multiply the result by the constant.

sqrt(a)*sqrt(b) only equals sqrt(ab) for the principal square roots of a and b ie the positive square roots. For positive numbers, without this restriction, we could have 1 = sqrt(1)sqrt(1) = sqrt(1) = -1 For the square root of negative numbers, there is no principal square root, so...

Correct - you must complete at least one subject at least one year ahead of your cohort. Usually you need to get a band 6 and other selection criteria also applies.

I did cosmology last year - I strongly recommend the distinction courses. Yes they have a heavy workload, but they really are a lot of fun. Just a few things to add to what SoulSearcher has already said. Comparative Literature aka Clit is good if you want a small, close group - in our year...

Scaling works to make the system fair whatever subjects you are doing - ie if people doing a subject tend to do well in their other subjects, then it will scale up. This makes it fair as people doing that subject are competing with better students. Moderation of assessment marks is compared to...

Yeah, and for more replace A1 with A2, A3 etc. up to A8

integral of -4/(x + 4)2 = -4 times the integral of (x + 4)-2 = -4(x + 4)-1/-1 = 4/(x + 4)

The mark they get is the average of the Aligned HSC exam mark (which is reliant only on the mark they get in the exam) and the moderated assessment mark, which is dependent on a combination of their ranking in the school and the marks achieved by the school in the HSC exam. So their assessment...

Yeah you'd have a good chance of 90 or even 95+.

Yeah and even so, the way Hogg's been bowling there's not much between the two. Oh and how about Hayden, the leading run scorer in the tournament, Clarke, Watson and Symonds who have been batting well, Bracken, one of the best one-day bowlers in the world - who are their counterparts on the...

A bit of a late response but still. I also have the Chem Lab clashing with 1906 Tutorial, so I was told i could just go to my normal tutorial (I have the 1901 lecturer as my tutor anyway). Did you end up doing SSP Maths? Do I know you? :p

Pittwater - held by McTaggart (independent) but may well go back to Liberal. Intention 1. McWhirter (Greens) 2. Nicotra (Democrats) 3. McTaggart (Independent) 4. Boydell (Labor) 5. Stokes (Liberal) 6. Byrne (Australians Against Further Immigration) 7. Giles (Christian Democratic...

Wests Tigers 35 Sydney Roosters 35 (+1) Cronulla Sharks 33 Newcastle Knights 34 Brisbane Broncos 32 Melbourne Storm 30 St George-Illawarra Dragons 30 Gold Coast Titans 28 Canberra Raiders 26 (-1) Penrith Panthers 20 (-1) Manly Sea-Eagles 9 (+1)

Newcastle Knights 35 Wests Tigers 35 Cronulla Sharks 33 St George Dragons 36 Brisbane Broncos 36 Sydney Roosters 29 (+1) Canberra Raiders 26 Gold Coast Titans 27 Melbourne Storm 25 (-1) Penrith Panthers 18 (-1) Manly Sea-Eagles 15 (+1)

Just to give you an idea - I got 98.6 with English: 87 Physics: 92 Maths X1: 94 Maths X2: 91 Cosmology: HD They're some of the highest scaling subjects, so you'd probably need to get higher than those marks - you'd be looking at mid-high 90s for 2U Maths for example. However...

Hmm, you go to Manly? Nataly? And I didn't go to the edasist lectures last year but am told that some of them are really useful, others not - just depends who you get as your lecturer.

Re: 3u Mathematics Marathon 2.0 Just something you didn't mention - the person who answers the question posts a new one for others to solve.

I know I always use this example (it's the best one), but explain what quantum fluctuations are dependent on. They exist naturally in the empty vacuum of space and happen without cause. Virtual particles come in and out of existence all the time. Yes, everything in our normal lives seems to have...