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I don't get it... why is alpha x beta x gamma = gamma^2?

Yeah. Non-zero roots.

None of the roots α, β, γ of the equation x^3 + 3px + q = 0 is zero. Form a monic equation with roots βγ/α, αγ/β and αβ/γ, expressing coefficients in terms of p and q. I did that, and got x^3 + (p^2)(x^2) - 6px + q = 0 but the answer is different? the coefficient of x^2 is (9p^2)/q...

being the top dog of high school

righto, thanks guys!

is there a specific name for the poetic technique of repeating certain phrases? e.g. in Yeats' Easter 1916: [stanza 3] ... Minute by minute they change; ... Changes minute by minute; ... ... Minute by minute they live: ... It's not exactly anaphora since it isn't the beginning...

I don't get the first method... if you take out one on root x from the denominator, why is it on the numerator? I get the second method though. Is it likely they will specifically ask for the reverse chain rule to integrate something like that? They normally say 'using ... method, OR...

Find, USING REVERSE CHAIN RULE, integral of 1/[(sqrt x)(1+x)] using 3u integration... please helppp

so there's a syllabus dot point about their definition.. I know what they are, but i can't seem to think of a neat, sum-up definition. Acid and its related base??? base and its related acid??? the proton donor/receiver couple? How would I round up the important key points and make them...

got it now :) your solutions are so clear :D thanks again!

I have another question from the same exercise: show that inv tan (1/2) + inv tan (2/5) + inv tan (8/9) = pi/2 only thing i can think of is letting each angle equal to alpha beta and gamma and taking tan of both sides but can't take the tan of pi/2... help please!

princeton

Ah cool cool big thanks to both posters! :)

from y12 3u cambridge... Prove: 2 inverse tan 2 = pi - inverse cos (3/5) even with the hint that says "use the fact that tan(pi - x) = -tan" i can't seem to do it :( help please!

Yes, they certainly are important - because they are what determine your ranking. But not in the sense that they contribute to the process of calculating the HSC mark. They don't look at what you scored out of 30 for some assessment - only the resultant RANK that mark amongst other marks gave...

The assessments from now are worth more in terms of weighting so technically, we haven't done 50% yet. Have courage and resilience and work even harder :)

No it's more involved than that. Your internal marks basically mean nothing - it is your rank that matters. Hypothetically, say your average mark of all internal assessments for english was 95, but that mark ended up ranking you last in your grade. Then your internal mark would be something...

we dream on xD Dude, that sounds so nightmarish.

I heard the typical median is like 99+ or is that a total misconception? There must be some pretty big bomb-outs if that was true.... Median 99+ being dragged to ave 95.

This is just my opinion and obviously very biased but i think phys gets more exciting in y12. Finished 2 HSC modules now and enjoyed each of them more than anything i learnt in y11. People also say you can start the HSC content without knowing much from y11... which i find is partially true...