Section I: Multiple Choice (2 Viewers)

[bale]

it was a difficult paper but i think i can get 70/70. hopefully first in the state

 

[dan964]

pretty sure 10 wasn't D

 

[dan964]

10 is C.
Use formula, and then group terms containing x on one side then use difference of two squares to factorise and expand easily. Divide both sides by -4, to get b(x-a) = a(y-b) which simplifies to bx = ay

1. D - angle at centre, twice angle at circumference
2. A - use auxiliary angle formula
3. C - use x^r (x^-3(12-r)) form
4. D
5. B - A and C are wrong because product of roots is -42, and D is obvious wrong
6. B - use standard integral sheets and times by 3
7. A - write in A sin (nt) form for x and then differentiate. Note p = 2pi/n
8. D - not really sure why 15!x5!/(9! x 6!) i.e. 15C6 x 5!
9. C - sub P(-1)
10. C - expand out to bx = ay i.e. C

 

[Kurosaki]

C.

use distance formula on both and set them equal. you get it out with some mild algebra bashing

Could also sub in arbitrary values of a and b I think.

 

[Thank_You]

EDIT*: OMG thats how you do q5 its so easy! Good guess though yay

C.

use distance formula on both and set them equal. you get it out with some mild algebra bashing

I did that and yet got A. FML