. Let f(z) = x2 + iy? where r 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.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
SectionP.2: Real Numbers
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sir, values are given in another pic. please solve this math fully asap. thank you
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Transcribed Image Text:A=1 こ eこ3 e>4
Let f(z) = 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 ſe f (2) dz. ('
(c) Is fa f(2) dz path independent? If not, find a function g(z) whose integral is path independent.
Transcribed Image Text:Let f(z) = 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 ſe f (2) dz. (' (c) Is fa f(2) dz path independent? If not, find a function g(z) whose integral is path independent.
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