Apply the Estimation Theorem (i.e. Theorem 7.5 proved in Lecture 15) to obtain the following upper...

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Apply the Estimation Theorem (i.e. Theorem 7.5 proved in Lecture 15) to obtain the following upper bounds: TT 1 | dz| (1) 1 (5;1) 22 8' eiz V -dz <TR 3. (ii) 24 Theorem 7.5 ( The estimation Thm) Suppose that 8:[9,b] → ¢ is a path q fi 8* ¢ is cts. Then b fizi da | 55 | F(8 (+11) 18 (tildt f(z) dz 8 a 2. In particular, if | f(z) | ≤M, VZE8+ then | [fizidz | <M length (8) = MS" 18'Hildt. м 9 Recall that for a EC and r, R>0 y(a;r)(0) = a +reio TR(0) = Re (0 = [0, 2π]), Rei (0 = [0, π]). Apply the Estimation Theorem (i.e. Theorem 7.5 proved in Lecture 15) to obtain the following upper bounds: TT 1 | dz| (1) 1 (5;1) 22 8' eiz V -dz <TR 3. (ii) 24 Theorem 7.5 ( The estimation Thm) Suppose that 8:[9,b] → ¢ is a path q fi 8* ¢ is cts. Then b fizi da | 55 | F(8 (+11) 18 (tildt f(z) dz 8 a 2. In particular, if | f(z) | ≤M, VZE8+ then | [fizidz | <M length (8) = MS" 18'Hildt. м 9 Recall that for a EC and r, R>0 y(a;r)(0) = a +reio TR(0) = Re (0 = [0, 2π]), Rei (0 = [0, π]).