Hey we meet again! LOL
I couldn't find any threads about IAL FP2 so i'm going to post my answers here!
i remembered some of the questions asked in this paper and the answers i have written were not nice at all
i might have calculated some of the values wrongly...
1a,b) method of differences: partial fractions and prove
c) 5/51
2) Inequality: -1-√11 < x < -2 OR -1+√11 < x < 4
3) 1st order d. equations: y=(1+x)^(-k) [ 2x^(3/2)/3 + 2x^(5/2)/5 + C ]
4a) Series: f(x) = 1 - 9(x-π/3)^(2)/8 + 27(x-π/3)^(4)/128
b) 0.4815 (to 4 d.p) - i think i wrote 1.5xxx in my paper and it's wrong
5a) 2nd order d. equations: y = Ae^-x + Be^-2x + 17/4 - 7x/2 + 3x^(2)/2
b) I couldn't remember the values of x, y and dy/dx so idk LOL
I do remember the value of one of the constants is -5 though.
6) Transformation: (-5/8,0) for centre, 7/8 for radius
is there a part b) for question 6? If so, what is it about?
7a) Polar: (3√3/4, π/6)
b) Area: 105π/32 - 45√3/8
8a,b) Prove by de Moivre's theorem
c) I couldn't recall the limits, but if it's 0 and π/6, the value will be 203/408.. but i think there's xx√3 too
9a) Complex no.: Sketch graph
b) (√58 + 3√2)/2 (ARGH I FELT SO DEPRESSED WHEN MY MATHS TEACHER SHOWED ME THE SOLUTION OF THIS because I got it wrong t_t)
hope this helps
and i wish the grade boundaries will be lower since I've made a lot of careless mistakes sigh