If you want to spice up the flavour besides your typical top selective/grammar papers, you can always take a look at the Petrus Ky College paper (PKC). They're always fun :D. But other than that, CARROTSTICKS paper is by far the most challenging one you'll face in 3U. Sigh, if more papers were...
Re: MX2 Integration Marathon
There's an even more elegant substitution that kills the integral in 1 go :p. This was in my 3rd assessment task for school and yeah my method was the exact same as yours.
Pretty easy exam, we had all of harder 3u and circular motion taken out. Man I really wanted to attempt those harder 3u questions especially the last one haha :D. The only question that probably had me stumped for a bit was the Q16 volume; getting the area of the slice, other than that was all...
MC was pretty fked, that LIFO FIFO question wtf. Other than that everything else was pretty easy :D. Strategic role of marketing is basically translating the goal of profit maximisation into reality in disguise, so in other words achieving profitability
Re: HSC 2013 3U Marathon Thread
I think what Sy meant was this:
x^3+4x^2+6x+4 = 0
Multiplying top and bottom by x,
[(x+1)^4-1]/x = 0
x+1 = -1 (Since x cannot = 0)
Therefore, x=-2 is the only real root of this polynomial.