this is about complex numbers, Cauchy's integral formula and Cauchy's theorem

Question 3.1: Let C, : z(1) =2+2e", Osts2x and C2 : z(1)=ite"", OSIsmy/2 (a) Draw the path Ci and Cz. (b) Calculate () Jaz-2: and (in) Jo (z-D) Question 3.2: Let C, : z(1) =-1+-e", Osrs 2x and Ca : =(1) =1+ ze", 0SIS2x and C: z(1) = 2e", OSIS2nt. Also let f() = = . Use the Cauchy Integral Theorem to deduce that Jef(2)dz =[ f(z)dz + [ f(z)dz Question 3.3: Find the upper bound for the absolute value of z dz where C is the half-circle, i.e., z(1) me", re[0, x] , as shown in Figure 1. Figure 1: z(1) =e", te[0,x]