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7. Which of the following equation describes the triangle inequality for complex numbers? a. b. c. Z₁ + Z₂|≤|z₁| + |2₂| Z₁ + Z₂ ≤|z₁| + |Z₂| Z₁ + Z₂ ≤ ²₁1 + Z₂

7. Which of the following equation describes the triangle inequality for complex numbers? a. b. c. Z₁ + Z₂|≤|z₁| + |2₂| Z₁ + Z₂ ≤|z₁| + |Z₂| Z₁ + Z₂ ≤ ²₁1 + Z₂

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 27E
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Question
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
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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