DONT POST THE RANDOM CIRCUIT SOLUTION. I WILL DOWNVOTE. PLEASE ANSWER PROMT

(a) A basic building block is shown in Figure 1. Find the corresponding temperature and complex potential in the upper half-plane [10 points]. (b) What temperature in the first quadrant of the z-plane is obtained from (a) by the mapping w = a + z and what are the transformed boundary conditions [10 points]? (c) Find the temperature T* and the complex potential F* in the upper half-plane satisfying the boundary conditions in Figure 2 [10 points]. (d) Applying w = cosh (z) to (c), obtain the solution of the BVP in Figure 3 [10 points]. V V y T=0 TO O a u T*=0 TH=0 T* = T T=0 T* = T Figure 1 T* = To Figure 2 Figure 3 u T = T 00 (a) A basic building block is shown in Figure 1. Find the corresponding temperature and complex potential in the upper half-plane [10 points]. (b) What temperature in the first quadrant of the z-plane is obtained from (a) by the mapping w = a + z and what are the transformed boundary conditions [10 points]? (c) Find the temperature T* and the complex potential F* in the upper half-plane satisfying the boundary conditions in Figure 2 [10 points]. (d) Applying w = cosh (z) to (c), obtain the solution of the BVP in Figure 3 [10 points]. V V y T=0 TO O a u T*=0 TH=0 T* = T T=0 T* = T Figure 1 T* = To Figure 2 Figure 3 u T = T 00