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Dem catholics

Unfortunately due to the nature of the HSC this can remain the case in many schools.

Good Sir, this isn't the right attitude to have. Even in defeat you must be gracious. There is a full life ahead of you full of challenges much greater than the HSC that you must overcome so do not run from doing your best because it may become a habit. Relationship wise, academic, work life...

$Clue for$\; c):\; $Notice the equation of the circle touches two points on the parabola. What can we say about the discriminant? Also what can we say about the positioning of$\; y?\; $It is always in a certain range of values? Your intuition was correct when you solved for intersection points...

I defined a point S for Spiral here. \cos \theta = \frac{OS}{1} OS=\cos \theta \sin \theta = \frac{ST}{1} ST=\sin \theta T(\cos \theta, \sin \theta)

$i) Thought processes: We are required to find equation$\; PT. \;$Now, notice that\; $PT$\; is tangential to the circle. Does this remind you of something? Calculus? Maybe we can differentiate as we may do but there is a term involving$ \;y,\; $we haven't learnt how to differentiate implicitly...

Inbox me.

Uhm, the reason I showed you the image wasn't for the question. It was because I thought you needed help with changing things around (and that may have lead you to understand the question better)

That's the correct answer.

I will show you another example perhaps. y=\frac{1}{3}x^{-\frac{1}{3}} y'={\color{Red} -\frac{1}{3}}*\frac{1}{3}x^{-\frac{1}{3}{\color{Blue} -1}} \textup{{\color{Red}\; We multiply the front by the original power in this case, -1/3} AND {\color{Blue} we subtract one from the exponent}}...

Uh, nope. try again. Read carefully what I wrote in red and blue. You'll get it, just keep trying.

y = \sqrt{x} $First I want to highlight something. Let's assume that$\; m\; $and$\; n \;$are positive and$\; n \;$is not equal to zero. Then these forms are equal.$ $We note,$\; \frac{d}{dx} x^n = nx^{n-1}, \;$for$\; n \neq -1 $Mentally, we think of this as multiplying the front by the...

Madam Elizabeth unfortunately you are incorrect. We are clearly the better side at the moment. 4th placed against 7th place. We won the last two against you guys, last margin was 47.

Re: HSC 2013 3U Marathon Thread Points at thread title-

That's Maths extension

Lol NSW's attitude wasn't good either. They complain too much to the umpire instead of playing on.

The Jersey names will work only if you two are always together.

I take that back. That above is better.

D1 and D2 is perfect trust me.

I also have an idea, if you want you could request a question here for a specific point in the syllabus for example page 16: "16.2 The remainder and factor theorems" and people can post questions to test you.