7. Which of the following equation describes the triangle inequality for complex numbers? a. b. Z₁ + Z₂|≤|z₁| + |2₂| Z₁ + Z₂ ≤|z₁| + |Z₂| Z₁ + Z₂ C. c. Z₁ + Z₂ 8. A function f(z) is analytic in a domain (D) if it is undefined and undifferentiable at all points of D. a. True b. False 9. f(z) is analytic in its domain if it satisfies the Cauchy-Riemann equation. a. True b. False C. Not sure 10. Which of the following defines the Cauchy- Riemann equations for f(z) = u(x, y) + iv (x, y)? a. b. Ux=vy and uy = - vx = - Vy and Uy =-Dx -Ux = Vy and uy = Vx ux C. d. Ux= vy and -uy = -x ux
7. Which of the following equation describes the triangle inequality for complex numbers? a. b. Z₁ + Z₂|≤|z₁| + |2₂| Z₁ + Z₂ ≤|z₁| + |Z₂| Z₁ + Z₂ C. c. Z₁ + Z₂ 8. A function f(z) is analytic in a domain (D) if it is undefined and undifferentiable at all points of D. a. True b. False 9. f(z) is analytic in its domain if it satisfies the Cauchy-Riemann equation. a. True b. False C. Not sure 10. Which of the following defines the Cauchy- Riemann equations for f(z) = u(x, y) + iv (x, y)? a. b. Ux=vy and uy = - vx = - Vy and Uy =-Dx -Ux = Vy and uy = Vx ux C. d. Ux= vy and -uy = -x ux
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
7-10
Transcribed Image Text:7. Which of the following equation describes
the triangle inequality for complex
numbers?
a.
Z₁ + Z₂|≤|z₁| + |²₂|
Z₁ + Z₂ ≤|z₁| + |Z₂|
c. 2₁ +2₂ ≤ Z₁ + Z₂
b.
8. A function f(z) is analytic in a domain (D) if
it is undefined and undifferentiable at all
points of D.
a. True
b. False
9. f(z) is analytic in its domain if it satisfies
the Cauchy-Riemann equation.
a. True
b.
False
C. Not sure
10. Which of the following defines the Cauchy-
Riemann equations for f(z) = u(x, y) +
iv(x, y)?
a. Ux= vy and uy = - Vx
b. ux = -vy and uy = - Vx
Vy
-Ux = vy and uy = Vx
C.
d. Ux=vy and -uy = -x
Vy
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