a) Find the mobius transformation which takes the points -1,1 and infinity to
0,2 and 2i.
I have done this bit, which gives me w=(2i+2ix)/(z-1+2i)
b)desribe and find an equation for the real axis under the transformation found in part a.(i'm stuck on this and part d)
c) Find the length of the path y(t) =i+3e^2it [0,pi/4]
this gives me L=(pi/2)*root(2)
d) now find an upper bound for the function g(z) =(z^2)e^z where y(t) is the path in part c.
Any ideas or help would be appreciated. This is a past exam question and we have not been given solutions, which sucks.