16.11. Let y be the unit circle z 1 traversed twice in the clockwise direction. Evaluate dz (a). / Log (z + 2)dz, (b). 3:2 +1 (b).

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 14CC
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16.11. Let y be the unit circle |z 1 traversed twice in the clockwise
direction. Evaluate
%3D
dz
(a). / Log (z + 2)dz, (b). 32
16.12. Let r, R be constants such that 0<r< R. Denote by y, the
circle z = re0, 0<0S 27. Show that
R+z
dz = 1.
277i
(R-2)z
Transcribed Image Text:16.11. Let y be the unit circle |z 1 traversed twice in the clockwise direction. Evaluate %3D dz (a). / Log (z + 2)dz, (b). 32 16.12. Let r, R be constants such that 0<r< R. Denote by y, the circle z = re0, 0<0S 27. Show that R+z dz = 1. 277i (R-2)z
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