I integrated to get f(x) = 2x^2-3x+C. I solved that simultaneously with y=5x-7, since they intersect and formed the equation of 2x^2-8x+(C-7) = 0. I then used the discriminant = 0 to find C and got f(x)=2x^2-3x+1.
I also said because they were trapeziums! As for this, if a is 4.5 then the area below the x-axis on the left hand side will be -2 units, the total area above is 3\frac {3}{4} then the area below on the right hand side is 1\frac {3}{4} so all together you get -2 + 15/4 - 7/4 = 0.
Yeah it's basically just maths. I just wasn't sure about the result of 1 + 1 in this case, usually it's 0. And also AAB -> AB. We didn't cover boolean algebra much. Of course I know truth tables, was just confused on the missing +. :)
Re: HSC 2013 2U Marathon
I'm not really sure what you're getting at. If we can get actual clarification on it that'd be good, I was just under that impression because of the students who got marks in the past.