(a) Approximate the region R' in M-9 in Appendix IV by the polygonal region shown in
Chapter 20, Problem 17(choose chapter or problem)
(a) Approximate the region R' in M-9 in Appendix IV by the polygonal region shown in FIGURE 20.R.5. Require that f(- 1) = U1.f(O) = 7Ti/2, andf(l) = U1 + 7Ti. (b) Show that when u1 oo, f'(z) = Az(z + 1)-1(z- 1)-1 = !A[ _1_ + _l_J. 2 z+l z- 1 (c) Ifwerequirethatlm(f(t)) = Ofor t< -1,Im(f(t)) = 7T for t> 1, andf(O) = 7Ti/2, conclude that f(z) = 7Ti - [Ln(z + 1) + Ln(z -1)].
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