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1.4 Given f(2) = (2 + 5i)"g(2). If is it also know that g(-5i) = 0, then which of the following statements is true? A. f has a zero of order seven(12) at : = -5i. B. f has a zero of order eight(13) at z = -5i. C. g has a simple zero z = -5i. D. For any 20 € C where ze # -5i, f(z0) # 0.

1.4 Given f(2) = (2 + 5i)"g(2). If is it also know that g(-5i) = 0, then which of the following statements is true? A. f has a zero of order seven(12) at : = -5i. B. f has a zero of order eight(13) at z = -5i. C. g has a simple zero z = -5i. D. For any 20 € C where ze # -5i, f(z0) # 0.

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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1.4 Given f(2) = (2 + 5i)"g(2). If is it also know that g(-5i) = 0, then which of the following statements is true? A. f has a zero of order seven(12) at : = -5i. B. f has a zero of order eight(13) at z = -5i. C. g has a simple zero z = -5i. D. For any 20 € C where za # -5i, f(2o) # 0.
Transcribed Image Text:1.4 Given f(2) = (2 + 5i)"g(2). If is it also know that g(-5i) = 0, then which of the following statements is true? A. f has a zero of order seven(12) at : = -5i. B. f has a zero of order eight(13) at z = -5i. C. g has a simple zero z = -5i. D. For any 20 € C where za # -5i, f(2o) # 0.
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