Q1- Find the analytic function whose real part is Q2- Apply Cauchy's residue theorem, Evaluate fo sin 2x cosh 2y+cos 2x co cos mx dx Q3--Prove that Cauchy's integral formula f(a) = 1 6 f(2) dz 1+i, z-a Q4- Evaluate f+ (x - y + ix)dx along the straight line from z=0 to_z=1+i. www 1 Q5- Expand f(z) = = 22-3z+2 in the region (a) |z| < 1, (b) 1 2