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LOL they're pretty good. Thanks for sharing them :D

And if you are asked to describe, state the main features of the locus (e.g. circle is centre and radius).

Some notes that i uploaded a few weeks ago. Not mine. http://www.mediafire.com/?rivl13qdl6yjopt

p + \frac{1}{p} \geq 2 p^2 + 1 \geq 2p p^2 - 2p + 1 \geq 0 (p -1)^2 \geq 0 $Sketch $ y = (p -1)^2 For~p > 0,~ clearly~ (p - 1)^2 \geq 0 Or you could prove by induction from the second line. Or you could sketch the p + \frac{1}{p} and show for p > 0, it's greater than or equal to 2.

e.g. I_n = \int xsin^ndx I_{n - 1} = \int xsin^{n-1}xdx I_{n - 2} = \int xsin^{n - 2}xdx Your first question, Let ~ I_n = \int x^n\sqrt{1 + x^2}dx = \int \frac{1}{3} x^{n - 1} d(\sqrt{(1 + x^2)^3}) = \frac{1}{3}x^{n - 1}\sqrt{(1 + x^2)^3} - \frac{1}{3}(n - 1)\int x^{n - 2}\sqrt{(1 +...

Me and a few friends (total ~3 people) are looking for a private tutor for the physics option module, Quanta to Quarks. We've already completed ideas to implementations. We're in the Homebush/Strathfield area and would prefer to be tutored either at Strathfield library or another location...

Nope you don't really do it in depth other than nuclear decay and production and uses of radioisotopes.

I shouldn't be given any authority on this matter lol. In terms of the preliminary HSC course, you learn that the more electron shells there are, the further are the valence electrons from the nucleus so the more electropositive it becomes. So theoretically, from what we have learnt at school...

You could follow the exact same steps i posted here: http://community.boredofstudies.org/showthread.php?t=282147&p=5842946#post5842946

\int_0^1 \frac{\sqrt{x}}{1 + x} dx Let ~ x = tan^2\theta dx = 2tan\theta sec^2\theta d\theta x = 1, \theta = \frac{\pi}{4} x = 0, \theta = 0 \therefore \int ^{\frac{\pi}{4}}_0 \frac{tan\theta}{1 + tan^2\theta} \times 2tan\theta sec^2\theta d\theta \int^{\frac{\pi}{4}}_0 \frac{2tan^2\theta...

Wouldn't francium be a more reactive metal?

1. Make sure numerator is of lower degree than denominator 2. Odd/Even/Neither? 3. x & y intercepts 4. Vertical asymptotes a) Test behaviour at vertical asymptotes 5. Behaviour as x -> + or - infinity Using these steps, 1. is fulfilled. 2. f(-x) = f(x) so it is even (symmetrical about y-axis)...

*Most are (all organic acids i've encountered were all weak so far).

Re: HSC 2012 Marathon :) \frac{1}{2}(tan^{-1}x + \frac{x}{1 + x^2}) Hopefully i did it right in my head lol.

You mean slip rings? True, i forgot about AC motors haha.

The magnitude of the force acting to move the coil is NOT constant as it varies according to theta. The only constant values in, F= BILsin(theta) are B and I (supposing you're not changing those). (theta) constantly changes as the coils rotate in the magnetic field. The direction of the force...

Strong acids are acids that completely dissociate in to its ions in solution. Weak acids are acids that partially dissociate in to its ions in solution. All organic acids are weak acids. Similar for bases. In strong acids, the anion tends to be composed to a very electronegative element...

I remember that the term containing 'sec' is always on the LHS, and change the sec to a tan and you get the trig term on the RHS + 1.

Posted this a while back, http://community.boredofstudies.org/showthread.php?t=266895

May sound annoying but you can use change of base law. log_xy = \frac{log_ay}{log_ax} where x, y and a are > 0.