Not sure if I've remembered all the questions or all of my answers but:
1) 2/(x+1) + 1/((x-2)
expansion was something like: 5(1-x+x^2)? maybe? can't remember
2) [-7,9,-2]
ii) 68.4
3) T4 less than T2 as trapezium rule overestimate so more strips gets closer to actual value
ii) 3.25 or something, h=0.5, work out x and y and use formula
4) theta = 18.43 or 161.56
5) a =1/5, b=-7/5
6)2rtP=kt+c so k=2B
7) 176/27 pi
ii) 3rt2/4
8) rt5cos(X-1.107)
B=(1,1)
A = (0.6,0)
C = (-0.6,rt5)
angle B = 1.40 radians
Comprehension:
1) 0.6
ii) 1 or 0
2) 3/8
ii) x=-1 or x=2 so does not satisfy 0<x<1
3) when k=2, pop tends to 0
when k=3 pop tends to 0.5
when k=4 pop oscillates between 0.5 and 0.75
when k=5 pop is unbounded
4) two next values:k= 3.5487 and 3.5696
ii) S = 1.273
iii) k>boundary for oscillations so "Chaos"
Comp was pretty hard, C4 was super standard