http://www.math.ualberta.ca/~runde/files/ass411-2.pdf

I believe I got #1, 4, 5, 6i)

for 2, i parametrized f(t) = t+it , t belongs to [0,1]

the its

integral from 0 to 1 of (2it)e^(2i(t^2)) dt

from there I don't know what to do

and I don't know if that is right either

3 I think is partially done for me in my notes, I'll see if I can do it

but hints are appreciated

4 I used the unit circle at (1,1) showed the integral wasn't 0 and then said the function wasn't analytical since the integral wasn't 0 on a closed curve <- can someone confirm this is right?

6ii) I'm not sure what to do there especially since my proof for i) isn't that great