The first picture is the question that needed to be solved, the second and third pictures are sample answers for a similar question. Thank you! Let f(2) = 11z + 11, and let C1 be the line segment from z = 0 to z = 2, let C2 be theline segment from z = 2 to z = 2+ 2i, and let C3 be the line segment from z = 2+ 2i toz = 0. Let C be the union of the curves C1,C2,C3, i.e., C is the triangle formed fromC1, C2, C3. Compute the integral ſc f(z)dz.Solution:We see thatfdzfdz +fdz +fdz.We first compute fa. f(z)dz. We see that along the line segment C1, y = 0, and thusz = x + iy = x, where 0 < x < 2. Hence dz = dx + idy= dx.|f(e)dz =(11z + 11)dz(11x +11)dx=(11x + 11)dx= (11/2)a²|;+11xß= 22 + 22 = 44.We now compute fa. f(z)dz. We see that along the line segment C2, x = 2, and thusz = x + iy = 2+ iy, where 0 < y< 2. Hence dz = dx + idy = idy.(11z + 11)dz= L (11(2 – iy) + 11)idyC2= i(33 – 11iy)dy= 33iy3 + (11/2)g 6= 66i + 22Finally, we now compute Sa f(z)dz. We see that along the line segment C3, y = x,and thus z = x+ix = (1+i)x, where 0 Let f(z) = 5z + 14, and let C1 be the line segment from z = 0 to z =line segment from z = 2 to z = 2+2i, and let C3 be the line segment from z =z = 0. Let C be the union of the curves C, C2, C3, i.e., C is the triangle formed fromC1, C2, C3. Compute the integral Se f(z)dz.2, let C2 be the:2+2i to

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Description: The first picture is the question that needed to be solved, the second and third pictures are sample answers for a similar question. Thank you! Let f(2) = 11z + 11, and let C1 be the line segment from z = 0 to z = 2, let C2 be theline segment from z

In this question, we calculate the complex integral along the given contour joining vertices of the…

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Advanced Math

Let f(z) = 5z + 14, and let C1 be the line segment from z = 0 to z = 2, let C2 be the line segment from z = 2 to z z = 0. Let C be the union of the curves Cı, C2, C3, i.e., C is the triangle formed from C1, C2, C3. Compute the integral ſc f(z)dz. 2+2i, and let C3 be the line segment from z = 2+ 2i to

Let f(z) = 5z + 14, and let C1 be the line segment from z = 0 to z = 2, let C2 be the line segment from z = 2 to z z = 0. Let C be the union of the curves Cı, C2, C3, i.e., C is the triangle formed from C1, C2, C3. Compute the integral ſc f(z)dz. 2+2i, and let C3 be the line segment from z = 2+ 2i to

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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