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What do you mean by not well behaved?

You usually sketch a curve after completing parts to a question which may ask you to find things such as the stationary points, intercepts etc. Unless the question asks for the coordinates of the points of inflexion, there is no need to include the points of concavity change. There is no other...

If P(Sally alive) = 0.8 and P(Peter NOT alive) = 0.3, Then the probability that only Sally is alive in 40 years time is given by P(Sally alive) x P(Peter NOT alive) = 0.8 x 0.3 = 0.24

I would believe that the state of sucrose would be aqueous.

Hopefully Actuarial Studies + Adv Maths at UNSW :)

99

It should be D because electrons and holes exist in pairs, so there are equal amounts of electrons and holes.

I don't completely remember what P and Q were, but the current travels in a clockwise direction.

93-94%

For these questions, what you would do is let z_1=x_1+iy_1 and z_2=x_2+iy_2. From here, you would substitute z_1 and z_2 into the LHS and RHS and show that the results are equal.

I'm guessing 99% raw, not too sure though.

For 11(b), instead of doing b/a, you did (b/a)^2

Yes it's normal! No they are not, it is quite difficult to finish an entire paper. Not many people will complete the entire paper despite having an outstanding ability in Maths. There will almost always be questions that will screw many people over. This is the Extension 2 Mathematics course :^)

No, for sinx=0, it is x=kpi. I think you may have mistaken x=pi/2+2kpi as the general solution to sinx=1 (which is correct!)

All of multiple choice

I used t-formula :)

Yes, sorry, my bad.

Remember: Volume = pi. int[x^2 dy] (from y=a to y=b) If you rearrange y = 1/sqrt(1-x^2) to make x^2 the subject, you will get: x^2 = 1 - 1/y^2 And borders: x=0 y=1 x=1/2 y=sqrt(2) Hence, Volume = pi.int[ 1 - 1/y^2 dy ] (from y=1 to y=sqrt(2)) I think you should be able to do this question...

Superannuation and loan repayments, in my opinion, is the most difficult topic in 2U.

85 is definitely possible. Just study very hard for your HSC exams :)