1. F-1(x)=(x+2)/3
2 lines reflected in y=x
X>1
2. Translate vector (-4,-23)
Minimum (-4,-23)
3. 1/(x+2)-1/(x+3)
Ln(x+2/x+3) +c
4.rationalise each and compare Lhs and rhs which both simplified to roo13 - root10
5. Infinity of primes proof
6. (X-10)^2+(y-4)^2=16
Solve pair of equations to get
Y^2-14y+50=0
Negative discriminate hence no intersections
(5,2) vector
7. 6(ln3)^3
8 2/3 3/4
9. (0,root8),(0,-root8)
10. e^x/(1+e^x)^2 > 0 therefore increasing
11. 2/3(u)^3-3(u)^2+6(u)-2lnu +c sub back u obvs