1-cos z5 2- Show that the function f(z) : has a removable singularity at zo sin z3 and that when the singularity is removed the resulting function has a zero of order 7. 3- Let y be the arc of the circle z 1 from z = 2 to z = 2i Show that dz z2 3 4- Evaluate |z| (z+2)(z-1) d2, where y = log z dz , where y = {z : ]z – i| i- z 5- Evaluate

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 17EQ
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Q2 ,Q3 , Q4 ,Q5 i need all solution for all

1-cos z5
2- Show that the function f(z) :
has a removable singularity at zo
sin z3
and that when the singularity is removed the resulting function has a zero of
order 7.
3- Let y be the arc of the circle z
1 from z =
2 to z = 2i Show that
dz
z2
3
4- Evaluate
|z|
(z+2)(z-1) d2, where y =
log z
dz , where y = {z : ]z – i|
i- z
5- Evaluate
Transcribed Image Text:1-cos z5 2- Show that the function f(z) : has a removable singularity at zo sin z3 and that when the singularity is removed the resulting function has a zero of order 7. 3- Let y be the arc of the circle z 1 from z = 2 to z = 2i Show that dz z2 3 4- Evaluate |z| (z+2)(z-1) d2, where y = log z dz , where y = {z : ]z – i| i- z 5- Evaluate
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