Advanced Engineering Mathematics
6th Edition
ISBN: 9781284105902
Author: Dennis G. Zill
Publisher: Jones & Bartlett Learning
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Chapter 8.6, Problem 22E
To determine
The inverse matrix
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2/classify the zeros and poles of the function
f(z) = tanz
Z
30.1. Show that z = 0 is a removable singularity of the following
functions. Furthermore, define f(0) such that these functions are analytic
at z = 0.
(a). f(z) =
2
sin z- z
1-12² - cos z
(b). f(z) =
(c). f(z) =
sin 22
3. Consider the polynomial equation 6-iz+7z² -iz³ +z = 0 for which the roots are 3i, -2i, -i,
and i.
(a) Verify the relations between this roots and the coefficients of the polynomial.
(b) Find the annulus region in which the roots lie.
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