Search results

Consider the curve f(x) being the line y=0. Therefore f'(x)=0 and f(x)=0 so this satisfies the conditions. When x=7, y=0, therefore the y value is 0.

No, we start on the 24th and then get the Wednesday off which is cool :)

The way I do questions like this is by recognition. Notice that you have (1-x^2)^0.5 on the denominator and an x on the top. When you differentiate (1-x^2)^0.5, it will become (1/2)*(1-x^2)^-0.5*(-2x). This is very similar to the given integral (just missing the minus sign in fact). Therefore...

I don't know if I read the question correctly (hard to see) but here goes: <img src="http://latex.codecogs.com/gif.latex?\int \frac{x}{\sqrt[]{1-x^2}}=\frac{1}{2}\int \frac{2x}{\sqrt[]{1-x^2}}\\ =-\sqrt{1-x^2}+C" title="\int \frac{x}{\sqrt[]{1-x^2}}=\frac{1}{2}\int \frac{2x}{\sqrt[]{1-x^2}}\\...

Do both. It's important to have a balance. What I do now is wake up around 7 (that's my normal time, most people wake up later), then study for a few hours. You're finished by about 10 and then you have the whole day to go out, have fun etc. Then you can do a bit more at night if you want.

More foreign investment is a credit on the capital and financial, not a debit. Your points are right though :)

No, he just split the fraction into two parts...

I'll give you one example and then maybe you can do the rest. Suppose Australia's exports increase dramatically, whilst imports don't increase as fast (as is the case in the current mining boom). This will lead to a smaller deficit/bigger surplus on the BOGS. But at the same time the extra...

Re: 2012 HSC MX2 Marathon Going off Carrot's question, this is to prove the first result (from Cambridge): <img src="http://latex.codecogs.com/gif.latex?\textup{Consider the area under }y=\frac{1}{x}\textup{ between x=n and x=n+1}\\ a) \textup{ Show that }\frac{1}{n+1}<...

If you come first for everything, you aren't affected by anyone else. Theoretically you could get 99.95.

Yep. Now I know exactly who you are :). Congrats on raping me again in 3U.

It all depends on the school though... Last year, our dux of english in Yr 11 ended up on 85% and this is at a selective school.

Congrats on your marks. Why did you do a 2U + a 4U test though?

2cos%5Ctheta=z+%5Cfrac%7B1%7D%7Bz%7D%5C%5C%202cos2%5Ctheta=z%5E2+%5Cfrac%7B1%7D%7Bz%5E2%7D%5C%5C%202cos3%5Ctheta=z%5E3+%5Cfrac%7B1%7D%7Bz%5E3%7D%5C%5C%20%5Ctherefore%204cos%5Ctheta%20cos2%5Ctheta%20cos3%5Ctheta=%5Cfrac%7B1%7D%7B2%7D%28z+%5Cfrac%7B1%7D%7Bz%7D%29%28z%5E2+%5Cfrac%7B1%7D%7Bz%5E2%7D%2...

Maths Ext. 2 51/52 (=1st) Maths Ext. 1 46/51 (=5th) Chemistry 26.5/30 (=2nd) Physics 29.5/30 (1st) Economics- 29/30 (=1st) English- Worst essay I ever wrote...

Time for me to go to bed. It's been fun :). G'night.

Our creative task was to write a diary entry using the stimulus "I felt like a fish in an aquarium" to explore the tensions associated with not belonging. Apparently about 80 people wrote about going to a new school and she hated that. She even called a special meeting to tell us how crap we all...

Bye Mr. Robot. And if you ever see me again, say hi. I won't eat too much of you (just the yummy bits)

I remember, she marked our journeys essays for the yearly. I got the second highest mark with 16/20. This year, she marked our first assessment task and one of my friends got the comment "what is this childish crap. Are you in Year 12?"

I still love all of Christopher Nolan's movies- Dark Knight, The Prestige, Memento. Is everyone pumped for The Dark Knight Rises?