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Phew! lol (yeh diagram in my answer booklet)

What if I labelled 'alpha' on the diagram but did not say 'let QPS = alpha'?

Re: HSC 2013 3U Marathon Thread Is it 2\sqrt{u} ?

lol i read the question wrong i did 10 revs/10min

Farout that complex question involving areas was a beautiful question

It'll be the hardest paper you've seen in your life!

LOL!

Agreed

Have you ANY done past HSC papers?

np, try to get those log laws in your brain before tmrw!

e^{elnx} = e^{lnx^e}($as $alnb = ln(b^a))\\\\ ~~~~~~~~~~~= x^e ($as $e^{lna} = a)

Re: HSC 2013 3U Marathon Thread was this in 2u marathon?

Re: HSC 2013 3U Marathon Thread Volume spun around y-axis, hence dy V = \pi \int_a^b x^2 dy =\pi \int_{-\frac{a}{2}}^a \left ( a^2 - y^2 \right )dy Then integrate and sub in values to get the answer

Re: HSC 2013 3U Marathon Thread Whats the answer? V = ?

oi

I used Am-GM Inequality to both both of them lol Oh, for the first one, i DIDNT use AM-GM STRAIGHT OUT For the second one however, i used it out of the blue a + 1 \geq 2\sqrt{a} b + 1 \geq 2\sqrt{b} c + 1 \geq 2\sqrt{c}

Good luck obliv, you can do it, you can achieve your aim of 70+ in MX2 :)

Provided: a + b + c = 3 Square both sides, (a + b+c)^2 = 9 Expand, a^2 + b^2+c^2 + 2(ab + bc + ca) = 9 a^2+b^2+c^2 = 9 - 2(ab + bc + ca) ........................................................[1] (x-y)^2 \geq 0 \rightarrow x^2 + y^2 \geq 2xy a^2 + b^2 \geq 2ab \\ \\ ~~~~~~b^2 +...

Re: HSC 2013 3U Marathon Thread Very nice

Re: HSC 2013 2U Marathon because its not in exact form?