Search results

Re: HSC 2013 4U Marathon $Let$ a_{1},a_{2},\cdot\cdot\cdot,a_{n} $be non-negative numbers such that$ a_{1}.a_{2}\cdot\cdot\cdot a_{k}\geq \frac{1}{\left ( 2k \right )!} $for all k.$ $Prove that: a_{1}+a_{2}+\cdot\cdot\cdot+a_{n}\geq \frac{1}{n+1}+\frac{1}{n+2}+\cdot\cdot\cdot+ \frac{1}{2n}

Re: HSC 2013 4U Marathon Sub x=cosa, \therefore cos^{2}a+cos^{2}3a=1\Rightarrow cos2a+cos6a=0\therefore 2cos2acos4a=0 \therefore 2a=\frac{\pi }{2}, \frac{3\pi }{2} or 4a=\frac{\pi }{2},\frac{3\pi }{2},\frac{5\pi }{2},\frac{7\pi }{2} $we get$ x=\pm \frac{\sqrt{2}}{2}and\pm \sqrt{\frac{2\pm...

Re: HSC 2013 4U Marathon $With some simple algebraic manipulations, we get:$ \sum_{k=1}^n x_k \leq \sqrt{n}\sqrt{\sum_{k=1}^n x_k^2} $I will leave it to someone else to complete (Hint: this is very similar to the Cauchy–Schwarz inequality).$

"Sidis became famous first for his precocity and later for his eccentricity and withdrawal from public life."

Torque is the rate of change in angular momentum. Makes sense.

I found a website selling them for $27, don't know if legit.

and it makes you very tired too.

Do they exist though?

My physics tutor said torque gets very complicated in university but we don't need to know that for the HSC. You can read about it here: http://en.wikipedia.org/wiki/Torque

Where can I find Cambridge 3U solutions? I have the 4U solutions but I really want the 3U ones.

Don't bother with MIF, it is the worst. Check out Terry Lee, I think it is good.

Re: HSC 2013 4U Marathon Conics is a cool topic but in my opinion it is the most boring topic compared to the rest of MX2 topics. Polynomials is considered to be one of the simplest topics by most school teachers but the questions can get very difficult and interesting. Most school teachers go...

Social life is optional. Sleep is not :P

Physics in Focus is the worst textbook ever made and high school teachers use it only because it is easy. The questions there are terrible, repetitive and very easy. Do not use it even if your school uses it. I heard Fitzpatrick is good but I personally have never used it (I do have it in my...

What I am saying is that there is no need to not sleep well because if the student studies efficiently and effectively they can easily study 7-8 hours per day (which is excessive) and still have more than enough sleep.

If you get home at 3:30 and start studying at 4-5pm your can easily do 7 hours of study and still get about 8-9 hours of study.

Re: 2013 Australian Federal election How can I change my vote? I voted for liberal then changed my mind :(

Re: 2013 Australian Federal election Labor FTW

I did that stupid no sleep routine in year 11 and it sucks. If you study smart in an efficient manner you do not need any thing more than around 7 hours per day. 4 hours to do notes/revise content and 3 hours to do past HSC questions (which includes learning exam tech, criteria and etc).

Re: HSC 2013 4U Marathon I wish they put Real Analysis as a topic and remove conics :D