if a = 2, b = 6, c= 3 2. Let f(2) = x2 + iy? where x and y are the real and imaginary parts respectively of z, and C is a contour consisting of the line segment from z1 ai to z2 = b+ ci. (a) Write down z1 and z2 by substituting the values of a, b and c. (b) Evaluate fc f (2) dz. (c) Is fe f(2) dz path independent? If not, find a function g(z) whose integral is path independent.
if a = 2, b = 6, c= 3 2. Let f(2) = x2 + iy? where x and y are the real and imaginary parts respectively of z, and C is a contour consisting of the line segment from z1 ai to z2 = b+ ci. (a) Write down z1 and z2 by substituting the values of a, b and c. (b) Evaluate fc f (2) dz. (c) Is fe f(2) dz path independent? If not, find a function g(z) whose integral is path independent.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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