Prealgebra & Introductory Algebra (5th Edition) (What's New in Developmental Math)
5th Edition
ISBN: 9780134707631
Author: Elayn Martin-Gay
Publisher: PEARSON
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Chapter 16.3, Problem 8E
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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.
30.3. Find and classify the isolated singularities of the following func-
tions:
(a).
23+1
22(2-1)
(b). ²e¹/, (c).
sin 3z
(d).
COS 2
Chapter 16 Solutions
Prealgebra & Introductory Algebra (5th Edition) (What's New in Developmental Math)
Ch. 16.1 - Prob. 1PCh. 16.1 - Prob. 2PCh. 16.1 - Prob. 3PCh. 16.1 - Prob. 4PCh. 16.1 - Prob. 5PCh. 16.1 - Prob. 6PCh. 16.1 - Prob. 7PCh. 16.1 - Prob. 8PCh. 16.1 - Prob. 9PCh. 16.1 - Prob. 1E
Ch. 16.1 - Prob. 2ECh. 16.1 - Prob. 3ECh. 16.1 - Prob. 4ECh. 16.1 - Prob. 5ECh. 16.1 - Prob. 6ECh. 16.1 - Prob. 7ECh. 16.1 - Prob. 8ECh. 16.1 - Prob. 9ECh. 16.1 - Prob. 10ECh. 16.1 - Prob. 11ECh. 16.1 - Prob. 12ECh. 16.1 - Prob. 13ECh. 16.1 - Prob. 14ECh. 16.1 - Prob. 15ECh. 16.1 - Prob. 16ECh. 16.1 - Prob. 17ECh. 16.1 - Prob. 18ECh. 16.1 - Prob. 19ECh. 16.1 - Prob. 20ECh. 16.1 - Prob. 21ECh. 16.1 - Prob. 22ECh. 16.1 - Prob. 23ECh. 16.1 - Prob. 24ECh. 16.1 - Prob. 25ECh. 16.1 - Prob. 26ECh. 16.1 - Prob. 27ECh. 16.1 - Prob. 28ECh. 16.1 - Prob. 29ECh. 16.1 - Prob. 30ECh. 16.1 - Prob. 31ECh. 16.1 - Prob. 32ECh. 16.1 - Prob. 33ECh. 16.1 - Prob. 34ECh. 16.1 - Prob. 35ECh. 16.1 - Prob. 36ECh. 16.1 - Prob. 37ECh. 16.1 - Prob. 38ECh. 16.1 - Prob. 39ECh. 16.1 - Prob. 40ECh. 16.1 - Prob. 41ECh. 16.1 - Prob. 42ECh. 16.1 - Prob. 43ECh. 16.1 - Prob. 44ECh. 16.1 - Prob. 45ECh. 16.1 - Prob. 46ECh. 16.1 - Prob. 47ECh. 16.1 - Prob. 48ECh. 16.1 - Prob. 49ECh. 16.1 - Prob. 50ECh. 16.1 - Prob. 51ECh. 16.1 - Prob. 52ECh. 16.1 - Prob. 53ECh. 16.1 - Prob. 54ECh. 16.1 - Prob. 55ECh. 16.1 - Prob. 56ECh. 16.1 - Prob. 57ECh. 16.1 - Prob. 58ECh. 16.1 - Prob. 59ECh. 16.1 - Prob. 60ECh. 16.1 - Prob. 61ECh. 16.1 - Prob. 62ECh. 16.1 - Prob. 63ECh. 16.1 - Prob. 64ECh. 16.1 - Prob. 65ECh. 16.1 - Prob. 66ECh. 16.1 - Prob. 67ECh. 16.1 - Prob. 68ECh. 16.1 - Prob. 69ECh. 16.1 - Prob. 70ECh. 16.1 - Prob. 71ECh. 16.1 - Prob. 72ECh. 16.1 - Prob. 73ECh. 16.1 - Prob. 74ECh. 16.2 - Prob. 1PCh. 16.2 - Prob. 2PCh. 16.2 - Prob. 3PCh. 16.2 - Prob. 4PCh. 16.2 - Prob. 5PCh. 16.2 - Prob. 1VRVCCh. 16.2 - Prob. 2VRVCCh. 16.2 - Prob. 3VRVCCh. 16.2 - Prob. 4VRVCCh. 16.2 - Prob. 5VRVCCh. 16.2 - Prob. 6VRVCCh. 16.2 - Prob. 7VRVCCh. 16.2 - Prob. 8VRVCCh. 16.2 - Prob. 9VRVCCh. 16.2 - Prob. 10VRVCCh. 16.2 - Prob. 11VRVCCh. 16.2 - Prob. 12VRVCCh. 16.2 - Prob. 1ECh. 16.2 - Prob. 2ECh. 16.2 - Prob. 3ECh. 16.2 - Prob. 4ECh. 16.2 - Prob. 5ECh. 16.2 - Prob. 6ECh. 16.2 - Prob. 7ECh. 16.2 - Prob. 8ECh. 16.2 - Prob. 9ECh. 16.2 - Prob. 10ECh. 16.2 - Prob. 11ECh. 16.2 - Prob. 12ECh. 16.2 - Prob. 13ECh. 16.2 - Prob. 14ECh. 16.2 - Prob. 15ECh. 16.2 - Prob. 16ECh. 16.2 - Prob. 17ECh. 16.2 - Prob. 18ECh. 16.2 - Prob. 19ECh. 16.2 - Prob. 20ECh. 16.2 - Prob. 21ECh. 16.2 - Prob. 22ECh. 16.2 - Prob. 23ECh. 16.2 - Prob. 24ECh. 16.2 - Prob. 25ECh. 16.2 - Prob. 26ECh. 16.2 - Prob. 27ECh. 16.2 - Prob. 28ECh. 16.2 - Prob. 29ECh. 16.2 - Prob. 30ECh. 16.2 - Prob. 31ECh. 16.2 - Prob. 32ECh. 16.2 - Prob. 33ECh. 16.2 - Prob. 34ECh. 16.2 - Prob. 35ECh. 16.2 - Prob. 36ECh. 16.2 - Prob. 37ECh. 16.2 - Prob. 38ECh. 16.2 - Prob. 39ECh. 16.2 - Prob. 40ECh. 16.2 - Prob. 41ECh. 16.2 - Prob. 42ECh. 16.2 - Prob. 43ECh. 16.2 - Prob. 44ECh. 16.2 - Prob. 45ECh. 16.2 - Prob. 46ECh. 16.2 - Prob. 47ECh. 16.2 - Prob. 48ECh. 16.2 - Prob. 49ECh. 16.2 - Prob. 50ECh. 16.2 - Prob. 51ECh. 16.2 - Prob. 52ECh. 16.3 - Prob. 1CCCh. 16.3 - Prob. 1PCh. 16.3 - Prob. 2PCh. 16.3 - Prob. 3PCh. 16.3 - Prob. 4PCh. 16.3 - Prob. 5PCh. 16.3 - Prob. 6PCh. 16.3 - Prob. 1VRVCCh. 16.3 - Prob. 2VRVCCh. 16.3 - Prob. 3VRVCCh. 16.3 - Prob. 4VRVCCh. 16.3 - Prob. 5VRVCCh. 16.3 - Prob. 6VRVCCh. 16.3 - Prob. 7VRVCCh. 16.3 - Prob. 8VRVCCh. 16.3 - Prob. 9VRVCCh. 16.3 - Prob. 10VRVCCh. 16.3 - Prob. 1ECh. 16.3 - Prob. 2ECh. 16.3 - Prob. 3ECh. 16.3 - Prob. 4ECh. 16.3 - Prob. 5ECh. 16.3 - Prob. 6ECh. 16.3 - Prob. 7ECh. 16.3 - Prob. 8ECh. 16.3 - Prob. 9ECh. 16.3 - Prob. 10ECh. 16.3 - Prob. 11ECh. 16.3 - Prob. 12ECh. 16.3 - Prob. 13ECh. 16.3 - Prob. 14ECh. 16.3 - Prob. 15ECh. 16.3 - Prob. 16ECh. 16.3 - Prob. 17ECh. 16.3 - Prob. 18ECh. 16.3 - Prob. 19ECh. 16.3 - Prob. 20ECh. 16.3 - Prob. 21ECh. 16.3 - Prob. 22ECh. 16.3 - Prob. 23ECh. 16.3 - Prob. 24ECh. 16.3 - Prob. 25ECh. 16.3 - Prob. 26ECh. 16.3 - Prob. 27ECh. 16.3 - Prob. 28ECh. 16.3 - Prob. 29ECh. 16.3 - Prob. 30ECh. 16.3 - Prob. 31ECh. 16.3 - Prob. 32ECh. 16.3 - Prob. 33ECh. 16.3 - Prob. 34ECh. 16.3 - Prob. 35ECh. 16.3 - Prob. 36ECh. 16.3 - Prob. 37ECh. 16.3 - Prob. 38ECh. 16.3 - Prob. 39ECh. 16.3 - Prob. 40ECh. 16.3 - Prob. 41ECh. 16.3 - Prob. 42ECh. 16.3 - Prob. 43ECh. 16.3 - Prob. 44ECh. 16.3 - Prob. 45ECh. 16.3 - Prob. 46ECh. 16.3 - Prob. 47ECh. 16.3 - Prob. 48ECh. 16.3 - Prob. 49ECh. 16.3 - Prob. 50ECh. 16.3 - Prob. 51ECh. 16.3 - Prob. 52ECh. 16.3 - Prob. 53ECh. 16.3 - Prob. 54ECh. 16.3 - Prob. 55ECh. 16.3 - Prob. 56ECh. 16.3 - Prob. 57ECh. 16.3 - Prob. 58ECh. 16.3 - Prob. 59ECh. 16.3 - Prob. 60ECh. 16.3 - Prob. 61ECh. 16.3 - Prob. 62ECh. 16.3 - Prob. 63ECh. 16.3 - Prob. 64ECh. 16.3 - Prob. 65ECh. 16.3 - Prob. 66ECh. 16.3 - Prob. 67ECh. 16.3 - Prob. 68ECh. 16.3 - Prob. 69ECh. 16.3 - Prob. 70ECh. 16.3 - Prob. 71ECh. 16.3 - Prob. 72ECh. 16.3 - Prob. 73ECh. 16.3 - Prob. 74ECh. 16.3 - Prob. 75ECh. 16.3 - Prob. 76ECh. 16.IR - Prob. 1PCh. 16.IR - Prob. 2PCh. 16.IR - Prob. 3PCh. 16.IR - Prob. 1IRCh. 16.IR - Prob. 2IRCh. 16.IR - Prob. 3IRCh. 16.IR - Prob. 4IRCh. 16.IR - Prob. 5IRCh. 16.IR - Prob. 6IRCh. 16.IR - Prob. 7IRCh. 16.IR - Prob. 8IRCh. 16.IR - Prob. 9IRCh. 16.IR - Prob. 10IRCh. 16.IR - Prob. 11IRCh. 16.IR - Prob. 12IRCh. 16.IR - Prob. 13IRCh. 16.IR - Prob. 14IRCh. 16.IR - Prob. 15IRCh. 16.IR - Prob. 16IRCh. 16.IR - Prob. 17IRCh. 16.IR - Prob. 18IRCh. 16.IR - Prob. 19IRCh. 16.IR - Prob. 20IRCh. 16.IR - Prob. 21IRCh. 16.IR - Prob. 22IRCh. 16.IR - Prob. 23IRCh. 16.IR - Prob. 24IRCh. 16.IR - Prob. 25IRCh. 16.IR - Prob. 26IRCh. 16.IR - Prob. 27IRCh. 16.IR - Prob. 28IRCh. 16.IR - Prob. 29IRCh. 16.IR - Prob. 30IRCh. 16.IR - Prob. 31IRCh. 16.IR - Prob. 32IRCh. 16.IR - Prob. 33IRCh. 16.IR - Prob. 34IRCh. 16.IR - Prob. 35IRCh. 16.IR - Prob. 36IRCh. 16.IR - Prob. 37IRCh. 16.IR - Prob. 38IRCh. 16.IR - Prob. 39IRCh. 16.IR - Prob. 40IRCh. 16.IR - Prob. 41IRCh. 16.4 - Prob. 1CCCh. 16.4 - Prob. 2CCCh. 16.4 - Prob. 1PCh. 16.4 - Prob. 2PCh. 16.4 - Prob. 3PCh. 16.4 - Prob. 4PCh. 16.4 - Prob. 1ECh. 16.4 - Prob. 2ECh. 16.4 - Prob. 3ECh. 16.4 - Prob. 4ECh. 16.4 - Prob. 5ECh. 16.4 - Prob. 6ECh. 16.4 - Prob. 7ECh. 16.4 - Prob. 8ECh. 16.4 - Prob. 9ECh. 16.4 - Prob. 10ECh. 16.4 - Prob. 11ECh. 16.4 - Prob. 12ECh. 16.4 - Prob. 13ECh. 16.4 - Prob. 14ECh. 16.4 - Prob. 15ECh. 16.4 - Prob. 16ECh. 16.4 - Prob. 17ECh. 16.4 - Prob. 18ECh. 16.4 - Prob. 19ECh. 16.4 - Prob. 20ECh. 16.4 - Prob. 21ECh. 16.4 - Prob. 22ECh. 16.4 - Prob. 23ECh. 16.4 - Prob. 24ECh. 16.4 - Prob. 25ECh. 16.4 - Prob. 26ECh. 16.4 - Prob. 27ECh. 16.4 - Prob. 28ECh. 16.4 - Prob. 29ECh. 16.4 - Prob. 30ECh. 16.4 - Prob. 31ECh. 16.4 - Prob. 32ECh. 16.4 - Prob. 33ECh. 16.4 - Prob. 34ECh. 16.4 - Prob. 35ECh. 16.4 - Prob. 36ECh. 16.4 - Prob. 37ECh. 16.4 - Prob. 38ECh. 16.4 - Prob. 39ECh. 16.4 - Prob. 40ECh. 16.4 - Prob. 41ECh. 16.4 - Prob. 42ECh. 16.4 - Prob. 43ECh. 16.4 - Prob. 44ECh. 16.4 - Prob. 45ECh. 16.4 - Prob. 46ECh. 16.4 - Prob. 47ECh. 16.4 - Prob. 48ECh. 16.4 - Prob. 1CECh. 16.4 - Prob. 2CECh. 16.4 - Prob. 3CECh. 16.4 - Prob. 4CECh. 16.4 - Prob. 5CECh. 16.4 - Prob. 6CECh. 16.GA - Prob. 1GACh. 16.VC - Prob. 1VCCh. 16.VC - Prob. 2VCCh. 16.VC - Prob. 3VCCh. 16.VC - Prob. 4VCCh. 16.VC - Prob. 5VCCh. 16.VC - Prob. 6VCCh. 16.VC - Prob. 7VCCh. 16.CR - Prob. 1CRCh. 16.CR - Prob. 2CRCh. 16.CR - Prob. 3CRCh. 16.CR - Prob. 4CRCh. 16.CR - Prob. 5CRCh. 16.CR - Prob. 6CRCh. 16.CR - Prob. 7CRCh. 16.CR - Prob. 8CRCh. 16.CR - Prob. 9CRCh. 16.CR - Prob. 10CRCh. 16.CR - Prob. 11CRCh. 16.CR - Prob. 12CRCh. 16.CR - Prob. 13CRCh. 16.CR - Prob. 14CRCh. 16.CR - Prob. 15CRCh. 16.CR - Prob. 16CRCh. 16.CR - Prob. 17CRCh. 16.CR - Prob. 18CRCh. 16.CR - Prob. 19CRCh. 16.CR - Prob. 20CRCh. 16.CR - Prob. 21CRCh. 16.CR - Prob. 22CRCh. 16.CR - Prob. 23CRCh. 16.CR - Prob. 24CRCh. 16.CR - Prob. 25CRCh. 16.CR - Prob. 26CRCh. 16.CR - Prob. 27CRCh. 16.CR - Prob. 28CRCh. 16.CR - Prob. 29CRCh. 16.CR - Prob. 30CRCh. 16.CR - Prob. 31CRCh. 16.CR - Prob. 32CRCh. 16.CR - Prob. 33CRCh. 16.CR - Prob. 34CRCh. 16.CR - Prob. 35CRCh. 16.CR - Prob. 36CRCh. 16.CR - Prob. 37CRCh. 16.CR - Prob. 38CRCh. 16.CR - Prob. 39CRCh. 16.CR - Prob. 40CRCh. 16.CR - Prob. 41CRCh. 16.CR - Prob. 42CRCh. 16.CR - Prob. 43CRCh. 16.CR - Prob. 44CRCh. 16.CR - Prob. 45CRCh. 16.CR - Prob. 46CRCh. 16.CR - Prob. 47CRCh. 16.CR - Prob. 48CRCh. 16.CR - Prob. 49CRCh. 16.CR - Prob. 50CRCh. 16.CR - Prob. 51CRCh. 16.CR - Prob. 52CRCh. 16.CR - Prob. 53CRCh. 16.CR - Prob. 54CRCh. 16.CR - Prob. 55CRCh. 16.CR - Prob. 56CRCh. 16.CR - Prob. 57CRCh. 16.CR - Prob. 58CRCh. 16.CR - Prob. 59CRCh. 16.CR - Prob. 60CRCh. 16.CR - Prob. 61CRCh. 16.CR - Prob. 62CRCh. 16.CR - Prob. 63CRCh. 16.CR - Prob. 64CRCh. 16.CR - Prob. 65CRCh. 16.CR - Prob. 66CRCh. 16.CR - Prob. 67CRCh. 16.CR - Prob. 68CRCh. 16.CR - Prob. 69CRCh. 16.CR - Prob. 70CRCh. 16.CR - Prob. 71CRCh. 16.CR - Prob. 72CRCh. 16.GRT - Prob. 1GRTCh. 16.GRT - Prob. 2GRTCh. 16.GRT - Prob. 3GRTCh. 16.GRT - Prob. 4GRTCh. 16.GRT - Prob. 5GRTCh. 16.GRT - Prob. 6GRTCh. 16.GRT - Prob. 7GRTCh. 16.GRT - Prob. 8GRTCh. 16.GRT - Prob. 9GRTCh. 16.GRT - Prob. 10GRTCh. 16.CT - Prob. 1CTCh. 16.CT - Prob. 2CTCh. 16.CT - Prob. 3CTCh. 16.CT - Prob. 4CTCh. 16.CT - Prob. 5CTCh. 16.CT - Prob. 6CTCh. 16.CT - Prob. 7CTCh. 16.CT - Prob. 8CTCh. 16.CT - Prob. 9CTCh. 16.CT - Prob. 10CTCh. 16.CT - Prob. 11CTCh. 16.CT - Prob. 12CTCh. 16.CT - Prob. 13CTCh. 16.CT - Prob. 14CTCh. 16.CT - Prob. 15CTCh. 16.CT - Prob. 16CTCh. 16.CT - Prob. 17CTCh. 16.CT - Prob. 18CTCh. 16.CT - Prob. 19CTCh. 16.CT - Prob. 20CTCh. 16.CT - Prob. 21CTCh. 16.CM - Prob. 1CMCh. 16.CM - Prob. 2CMCh. 16.CM - Prob. 3CMCh. 16.CM - Prob. 4CMCh. 16.CM - Prob. 5CMCh. 16.CM - Prob. 6CMCh. 16.CM - Prob. 7CMCh. 16.CM - Prob. 8CMCh. 16.CM - Prob. 9CMCh. 16.CM - Prob. 10CMCh. 16.CM - Prob. 11CMCh. 16.CM - Prob. 12CMCh. 16.CM - Prob. 13CMCh. 16.CM - Prob. 14CMCh. 16.CM - Prob. 15CMCh. 16.CM - Prob. 16CMCh. 16.CM - Prob. 17CMCh. 16.CM - Prob. 18CMCh. 16.CM - Prob. 19CMCh. 16.CM - Prob. 20CMCh. 16.CM - Prob. 21CMCh. 16.CM - Prob. 22CMCh. 16.CM - Prob. 23CMCh. 16.CM - Prob. 24CMCh. 16.CM - Prob. 25CMCh. 16.CM - Prob. 26CMCh. 16.CM - Prob. 27CMCh. 16.CM - Prob. 28CMCh. 16.CM - Prob. 29CMCh. 16.CM - Prob. 30CMCh. 16.CM - Prob. 31CMCh. 16.CM - Prob. 32CMCh. 16.CM - Prob. 33CMCh. 16.CM - Prob. 34CMCh. 16.CM - Prob. 35CMCh. 16.CM - Prob. 36CMCh. 16.CM - Prob. 37CMCh. 16.CM - Prob. 38CMCh. 16.CM - Prob. 39CMCh. 16.CM - Prob. 40CMCh. 16.CM - Prob. 41CMCh. 16.CM - Prob. 42CMCh. 16.CM - Prob. 43CMCh. 16.CM - Prob. 44CMCh. 16.CM - Prob. 45CMCh. 16.CM - Prob. 46CMCh. 16.CM - Prob. 47CMCh. 16.CM - Prob. 48CM
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