Given the conformal transformations w = sin (za) followed by w=w. a. Show that these transformations...

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πχ Given the conformal transformations w = sin (za) followed by w=w². a. Show that these transformations map the semi-infinite strip bounded by AB: (x=0, 0 ≤ y ≤ ∞), BC: (0 ≤ x ≤ a, y=0) and CD (x=a, 0 ≤ y ≤ ∞) to the upper w' plane. b. Using this transformation solve the following boundary value problem V²T=0 for the strip given in Part A with the boundary conditions T=0 on leg AB, T=T₁on leg BC, T=0 on leg CD, πχ Given the conformal transformations w = sin (za) followed by w=w². a. Show that these transformations map the semi-infinite strip bounded by AB: (x=0, 0 ≤ y ≤ ∞), BC: (0 ≤ x ≤ a, y=0) and CD (x=a, 0 ≤ y ≤ ∞) to the upper w' plane. b. Using this transformation solve the following boundary value problem V²T=0 for the strip given in Part A with the boundary conditions T=0 on leg AB, T=T₁on leg BC, T=0 on leg CD,

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