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Muck up day tomorrow ayyyyy

\begin{align*}0 = [x^2](1+x+kx^2)^9 &= [x^2]\sum_{r = 0}^9 {9 \choose r}(x+kx^2)^r \\&= [x^2](1 + 9(x+kx^2) + 36(x+kx^2)^2 + \text{higher terms})\\&= 9k +36\\\therefore k = -4\end{align*}

bring me back to 2010

You're a musical feat. Rihanna

$Suppose the point at which the line is tangent to the parabola is $P(x,kx^2)$ for some value of $x$. We know that gradient of the tangent at this point is equal to 8 from the equation of the line, and hence by taking the derivative of the curve, we obtain $y' = 2kx \implies 2kx = 8 \implies x =...

This thread needs to get a bump 100% Any theatre fans still alive?

I've put it on hold because school sobamisu

Re: HSC 2016 4U Marathon \begin{align*}&\text{Yes, it must go to 0. First, we examine the following well known factorisation:}\\&a^n-b^n = (a-b)(a^{n-1} + a^{n-2}b +a^{n-3}b^2+...+b^{n-1})\\&\text{By making the substitution }a\mapsto\sqrt[n]{a},b\mapsto\sqrt[n]{b} \text{ we obtain: }\\&a-b =...

The solution sets are the same. 90 + 360k = 90(4k+1) -90 + 360k = 90(4k-1) 90 + 180k = 90(2k+1) Note that in the last equation, if k is even then we get 90(2(2m) +1) = 90(4m + 1) and if k is odd we get 90(2(2m-1)+1) = 90(4m-1)

I'm not sure. Either way, you should always be prepared for the essay to ask for a specific format, because they can ask that.

Either an independent trial or HSC, but I think it was HSC.

That's correct, however they also exclude results that are very low compared to the rest of the class from the average. So if someone does really bad, it won't affect everyone else.

They totally did that a few years ago, my teacher told me how her class was ready to just cease to exist

I don't have a table ahaha, just practice. There's no reason for you not to integrate both of those concepts - religious ideals of femininity and 'purity' are what synthesised society's general attitude towards women for a very long time.

No, it's an example of personification - the quote is asserting that fortune (a concept) is a woman (a person). This is further enforced by calling fortune a "she".

As much as you feel is necessary such that your story sufficiently answers the questions :p In half yearlies I needed to change the entire motive behind my story and my character's super objective, in the trial I didn't need to change anything.

You change the details of the story to fit the question.

I've done something similar - you don't need to get ALL the concepts of discovery, just one or two, and be able to adapt them. If you have a story about a child running away from home and finding his "tree house" sort of place, then you can change the wording of the story from something...

I'd strongly recommend to not do that. Derivative works are a complex legal blah blah and that's not something you want to risk in the HSC. It's really not too hard to make up a 800-1000 word story.

I would say to write one really good story - don't even make it answer a question, just have it incorporate some themes that are derived from the discovery syllabus. Then try to adapt it to various questions and stimuli from past exams/trial papers - make sure you respect the integrity of the...