.co sin mx Q1- State and prove maximum modulus theorem. Q2- Apply Cauchy's residue theorem, Evaluate f -2 Q3- Show that fo 1+i = x dx (x+1)(x+4) 3 x dx Q4- Evaluate f (x -y+ix)dx along the straight line from z=0 to z=1+i. 1 Q5- Expand f(z) = in the region (a) [z] <1, (b) 1 2 z2-3z+2