Problem 1 (a)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 from21 = 6i to z2 = 5+ 6i Evaluate Re [f (z2)] ?Problem 1 (b)Let f (z) = x? + iy? where x and y are the real and imaginary parts, respectively of z and C is a contour consisting of the line segment from21 = 2i to z2 = 9+ 8i If we want to evaluate the integral Sa f (z) dz then Sa f (z) dz = M + Ni , where M and N are real numbers. What isthe value of 3 (M + N)?

As per our guidelines, we supposed to solve the very first question if multiple questions are posted…

Answered: Problem 1 (a) Let f (z) = x² + iy²…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Problem 1 (a) Let f (z) = x² + iy² where x and y are the real and imaginary parts, respectively of z and C is a contour consisting of the line segment from 21 = 6i to z2 = 5+ 6i Evaluate Re [f (z2)] ?