. Find a branch cut of log(z- 1) that is analytic at all points in the plane except those on the ollowing rays. (a) {r< 1, y = 0}; (b) {r 2 1, y = 0}; (c) {r = 1, y 2 0} %3D

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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7. Find a branch cut of log(z -1) that is analytic at all points in the plane except those on the
following rays.
(a) {r < 1, y = 0}; (b) {r > 1, y = 0}; (c) {r = 1, y 2 0}
Transcribed Image Text:7. Find a branch cut of log(z -1) that is analytic at all points in the plane except those on the following rays. (a) {r < 1, y = 0}; (b) {r > 1, y = 0}; (c) {r = 1, y 2 0}
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