1.4 Given f(2) = (2 + 5i)²g(z). If is it also know that g(-5i) = 0, then which of the following statements is true? %3D A. f has a zero of order seven(12) at z = 5i. B. f has a zero of order eight(13) at z = -5i. C. g has a simple zero z = -5i. D. For any zo EC where z0 / 5i, f(20) 7 0. Page 2 of 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1.4 Given f(z) = (z + 5i)²g(z). 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 z-
5i.
B. f has a zero of order eight(13) at z = -5i.
C.
g has a simple zero z
= =5i.
D. For any zo CC where zo 7 5i, f(20) 7 0.
Page 2 of 3
Transcribed Image Text:1.4 Given f(z) = (z + 5i)²g(z). 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 z- 5i. B. f has a zero of order eight(13) at z = -5i. C. g has a simple zero z = =5i. D. For any zo CC where zo 7 5i, f(20) 7 0. Page 2 of 3
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