(z – 3)(z – 12)2 Let C be the circle |z| = 9, he anti-clockwise direction Answer the following questions. Input numerical values up to four decimal places. What is the residue of f(z) at z = 3? . What is the residue of f(z) at z = 12 ?

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Z + 12
f(z) =
(z – 3)(z – 12)2
Let C be the circle |z| = 9, in
the anti-clockwise direction.
Answer the following
questions. Input numerical
values up to four decimal
places.
1. What is the residue of f(z) at z = 3 ?
%3D
2. What is the residue of f(z) at z = 12 ?
1
P f{z) dz.
3.Evaluate
2nti
Transcribed Image Text:Z + 12 f(z) = (z – 3)(z – 12)2 Let C be the circle |z| = 9, in the anti-clockwise direction. Answer the following questions. Input numerical values up to four decimal places. 1. What is the residue of f(z) at z = 3 ? %3D 2. What is the residue of f(z) at z = 12 ? 1 P f{z) dz. 3.Evaluate 2nti
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