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Exercise 3. sin(3z) Let f(z) = and C: |z – n| = 1. Then ſ. f(z)dz = z2(z-n) а. О b. 2ni с. —2пі d. None of the above а. b. С. d.

Exercise 3. sin(3z) Let f(z) = and C: |z – n| = 1. Then ſ. f(z)dz = z2(z-n) а. О b. 2ni с. —2пі d. None of the above а. b. С. d.

Advanced Engineering Mathematics
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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9:37 A docs.google.com Exercise 3. * sin(3z) Let f(z) = and C: |z – n| = 1. Then ſ. ƒ(z)dz = z2(z-n) а. 0 b. 2ni с. — 2пі d. None of the above а. b. С. d. Exercise 4. sin(3z) Let f(z) = and C: |z| = 1. Then ſ. f(z)dz = %3D z2(z-n) а. 0 b. Зпі с. —6пі d. None of the above O a. а. b. С. d.
Transcribed Image Text:9:37 A docs.google.com Exercise 3. * sin(3z) Let f(z) = and C: |z – n| = 1. Then ſ. ƒ(z)dz = z2(z-n) а. 0 b. 2ni с. — 2пі d. None of the above а. b. С. d. Exercise 4. sin(3z) Let f(z) = and C: |z| = 1. Then ſ. f(z)dz = %3D z2(z-n) а. 0 b. Зпі с. —6пі d. None of the above O a. а. b. С. d.
9:37 A docs.google.com Exercise 5. A simple contour that is not closed can cross itself . * False True Exercise 6. Letf be a function with Ifl<2 and C be the curve that connects 0 to 1 and then 1 to 1+i (through line segments). Then the modulus of the integral of f * over the curve C is O <4 <2 O >4 <1 O None of these Exercise 7. Let f(2)=4Re(z) and C be the line segment connecting 1+i to 0. Then the integral of f over C is equal to * O -2(1+i) O 2(1+i) O 4(1-i)
Transcribed Image Text:9:37 A docs.google.com Exercise 5. A simple contour that is not closed can cross itself . * False True Exercise 6. Letf be a function with Ifl<2 and C be the curve that connects 0 to 1 and then 1 to 1+i (through line segments). Then the modulus of the integral of f * over the curve C is O <4 <2 O >4 <1 O None of these Exercise 7. Let f(2)=4Re(z) and C be the line segment connecting 1+i to 0. Then the integral of f over C is equal to * O -2(1+i) O 2(1+i) O 4(1-i)
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