1) a) Find the zeros and their order for the following functions. 1) Z³ cos z 2) COS(23) 3) Coszt sinh (2) b) Find the order of Z=0 for the following functions: 25 1) 142-e2 2) 6 sin(z)+29-623 3) (ez²-1-2²) Sin³z c) If zo is a zero of order n of an analytic function f(z) and it is zero of order me of an analytic function g(z), what can be said about zo for the following functions: 1) f(z)+g(z) 2) (2)કુ(૨) 112) 3) giz) d) Prove: If z = zo is a zero of order n of f(z), then it is zero of order 2n of (f(z))2
1) a) Find the zeros and their order for the following functions. 1) Z³ cos z 2) COS(23) 3) Coszt sinh (2) b) Find the order of Z=0 for the following functions: 25 1) 142-e2 2) 6 sin(z)+29-623 3) (ez²-1-2²) Sin³z c) If zo is a zero of order n of an analytic function f(z) and it is zero of order me of an analytic function g(z), what can be said about zo for the following functions: 1) f(z)+g(z) 2) (2)કુ(૨) 112) 3) giz) d) Prove: If z = zo is a zero of order n of f(z), then it is zero of order 2n of (f(z))2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 71E
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Question
Questions:
1 part b question 3
1 part d
Handwritten please not typed out, cannot understand otherwise, thank you.
![1) a) Find the zeros and their order for the following functions.
1) Z³ cos z 2) COS(23) 3) Coszt sinh (2)
b) Find the order of Z=0 for the following functions:
25
1) 142-e2
2) 6 sin(z)+29-623
3) (ez²-1-2²) Sin³z
c) If zo is a zero of order n of an analytic function f(z) and
it is zero of order me of an analytic function g(z), what can be
said about zo for the following functions:
1) f(z)+g(z)
2) (2)કુ(૨)
112)
3) giz)
d) Prove: If z = zo is a zero of order n of f(z), then it is zero
of order 2n of
(f(z))2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b030cd5-5424-4c4c-9fb9-bb5124dfa56d%2Fe9b49233-8bbd-4578-91a7-53e7bf9aaf31%2Fy9tk5e7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1) a) Find the zeros and their order for the following functions.
1) Z³ cos z 2) COS(23) 3) Coszt sinh (2)
b) Find the order of Z=0 for the following functions:
25
1) 142-e2
2) 6 sin(z)+29-623
3) (ez²-1-2²) Sin³z
c) If zo is a zero of order n of an analytic function f(z) and
it is zero of order me of an analytic function g(z), what can be
said about zo for the following functions:
1) f(z)+g(z)
2) (2)કુ(૨)
112)
3) giz)
d) Prove: If z = zo is a zero of order n of f(z), then it is zero
of order 2n of
(f(z))2
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