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(a) Determine all distinct values of vZA given that A = -1+ iv3.

(a) Determine all distinct values of vZA given that A = -1+ iv3.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(a) Determine all distinct values of v2A given that A = -1+ iv3. (b) Given f(2) = z? – 3ixy. (i) Determine whether f(z) is an analytic function or not. (ii) Evaluate the line integral of f(z) from z = 1 to z = i along the curves a and ß, where a follows the axes and passes through the origin, while B is an anticlockwise arc of a unit circle centred at the origin (see Figure 1 below). 1 Figure 1 Curves a and B. 3.
Transcribed Image Text:(a) Determine all distinct values of v2A given that A = -1+ iv3. (b) Given f(2) = z? – 3ixy. (i) Determine whether f(z) is an analytic function or not. (ii) Evaluate the line integral of f(z) from z = 1 to z = i along the curves a and ß, where a follows the axes and passes through the origin, while B is an anticlockwise arc of a unit circle centred at the origin (see Figure 1 below). 1 Figure 1 Curves a and B. 3.
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