Loose-leaf Version for Calculus
14th Edition
ISBN: 9781464140051
Author: TAALMAN, Laura, Kohn, Peter
Publisher: W. H. Freeman
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Chapter 2.2, Problem 5TF
(a)
To determine
To find:
The derivative of the function
(b)
To determine
To find: The derivative of
(c)
To determine
To find:
The derivative of
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Chapter 2 Solutions
Loose-leaf Version for Calculus
Ch. 2.1 - Prob. 1TBCh. 2.1 - Prob. 2TBCh. 2.1 - Prob. 3TBCh. 2.1 - Prob. 4TBCh. 2.1 - Prob. 0CCh. 2.1 - Prob. 1CCh. 2.1 - Prob. 2CCh. 2.1 - Prob. 3CCh. 2.1 - Prob. 4CCh. 2.1 - Prob. 5C
Ch. 2.1 - Prob. 6CCh. 2.1 - Prob. 7CCh. 2.1 - Prob. 8CCh. 2.1 - Prob. 9CCh. 2.1 - Prob. 10CCh. 2.1 - Prob. 11CCh. 2.1 - Prob. 12CCh. 2.1 - Prob. 13CCh. 2.1 - Prob. 14CCh. 2.1 - Prob. 15CCh. 2.1 - Prob. 16CCh. 2.1 - Prob. 17CCh. 2.1 - Prob. 18CCh. 2.1 - Prob. 19CCh. 2.1 - Prob. 20CCh. 2.1 - Prob. 21SCh. 2.1 - Prob. 22SCh. 2.1 - Prob. 23SCh. 2.1 - Prob. 24SCh. 2.1 - Prob. 25SCh. 2.1 - Prob. 26SCh. 2.1 - Prob. 27SCh. 2.1 - Prob. 28SCh. 2.1 - Prob. 29SCh. 2.1 - Prob. 30SCh. 2.1 - Prob. 31SCh. 2.1 - Prob. 32SCh. 2.1 - Prob. 33SCh. 2.1 - Prob. 34SCh. 2.1 - Prob. 35SCh. 2.1 - Prob. 36SCh. 2.1 - Prob. 37SCh. 2.1 - Prob. 38SCh. 2.1 - Prob. 39SCh. 2.1 - Prob. 40SCh. 2.1 - Prob. 41SCh. 2.1 - Prob. 42SCh. 2.1 - Prob. 43SCh. 2.1 - Prob. 44SCh. 2.1 - Prob. 45ACh. 2.1 - Prob. 46ACh. 2.1 - Prob. 47ACh. 2.1 - Prob. 48ACh. 2.1 - Prob. 49ACh. 2.1 - Prob. 50ACh. 2.1 - Prob. 51ACh. 2.1 - Prob. 52ACh. 2.1 - Prob. 53ACh. 2.1 - Prob. 54ACh. 2.1 - Prob. 55ACh. 2.1 - Prob. 56ACh. 2.1 - Prob. 57ACh. 2.1 - Prob. 58PCh. 2.1 - Prob. 59PCh. 2.1 - Prob. 1TFCh. 2.1 - Prob. 2TFCh. 2.1 - Prob. 3TFCh. 2.2 - Prob. 1TBCh. 2.2 - Prob. 2TBCh. 2.2 - Prob. 0CCh. 2.2 - Prob. 1CCh. 2.2 - Prob. 2CCh. 2.2 - Prob. 3CCh. 2.2 - Prob. 4CCh. 2.2 - Prob. 5CCh. 2.2 - Prob. 6CCh. 2.2 - Prob. 7CCh. 2.2 - Prob. 8CCh. 2.2 - Prob. 9CCh. 2.2 - Prob. 10CCh. 2.2 - Prob. 11CCh. 2.2 - Prob. 12CCh. 2.2 - Prob. 13CCh. 2.2 - Prob. 14CCh. 2.2 - Prob. 15CCh. 2.2 - Prob. 16CCh. 2.2 - Prob. 17CCh. 2.2 - Prob. 18CCh. 2.2 - Prob. 19CCh. 2.2 - Prob. 20CCh. 2.2 - Prob. 21CCh. 2.2 - Prob. 22CCh. 2.2 - Prob. 23SCh. 2.2 - Prob. 24SCh. 2.2 - Prob. 25SCh. 2.2 - Prob. 26SCh. 2.2 - Prob. 27SCh. 2.2 - Prob. 28SCh. 2.2 - Prob. 29SCh. 2.2 - Prob. 30SCh. 2.2 - Prob. 31SCh. 2.2 - Prob. 32SCh. 2.2 - Prob. 33SCh. 2.2 - Prob. 34SCh. 2.2 - Prob. 35SCh. 2.2 - Prob. 36SCh. 2.2 - Prob. 37SCh. 2.2 - Prob. 38SCh. 2.2 - Prob. 39SCh. 2.2 - Prob. 40SCh. 2.2 - Prob. 41SCh. 2.2 - Prob. 42SCh. 2.2 - Prob. 43SCh. 2.2 - Prob. 44SCh. 2.2 - Prob. 45SCh. 2.2 - Prob. 46SCh. 2.2 - Prob. 47SCh. 2.2 - 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Prob. 48SCh. 2.3 - Prob. 49SCh. 2.3 - Prob. 50SCh. 2.3 - Prob. 51SCh. 2.3 - Prob. 52SCh. 2.3 - Prob. 53SCh. 2.3 - Prob. 54SCh. 2.3 - Prob. 55SCh. 2.3 - Prob. 56SCh. 2.3 - Prob. 57SCh. 2.3 - Prob. 58SCh. 2.3 - Prob. 59SCh. 2.3 - Prob. 60SCh. 2.3 - Prob. 61SCh. 2.3 - Prob. 62SCh. 2.3 - Prob. 63SCh. 2.3 - Prob. 64SCh. 2.3 - Prob. 65SCh. 2.3 - Prob. 66SCh. 2.3 - Prob. 67SCh. 2.3 - Prob. 68SCh. 2.3 - Prob. 69SCh. 2.3 - Prob. 70SCh. 2.3 - Prob. 71SCh. 2.3 - Prob. 72SCh. 2.3 - Prob. 73SCh. 2.3 - Prob. 74SCh. 2.3 - Prob. 75SCh. 2.3 - Prob. 76SCh. 2.3 - Prob. 77SCh. 2.3 - Prob. 78SCh. 2.3 - Prob. 79ACh. 2.3 - Prob. 80ACh. 2.3 - Prob. 81ACh. 2.3 - Prob. 82ACh. 2.3 - Prob. 83ACh. 2.3 - Prob. 84PCh. 2.3 - Prob. 85PCh. 2.3 - Prob. 86PCh. 2.3 - Prob. 87PCh. 2.3 - Prob. 88PCh. 2.3 - Prob. 89PCh. 2.3 - Prob. 90PCh. 2.3 - Prob. 91PCh. 2.3 - Prob. 92PCh. 2.3 - Prob. 1TFCh. 2.3 - Prob. 2TFCh. 2.3 - Prob. 3TFCh. 2.3 - Prob. 4TFCh. 2.3 - Prob. 5TFCh. 2.4 - Prob. 1TBCh. 2.4 - Prob. 2TBCh. 2.4 - Prob. 0CCh. 2.4 - Prob. 1CCh. 2.4 - Prob. 2CCh. 2.4 - Prob. 3CCh. 2.4 - Prob. 4CCh. 2.4 - Prob. 5CCh. 2.4 - Prob. 6CCh. 2.4 - Prob. 7CCh. 2.4 - Prob. 8CCh. 2.4 - Prob. 9CCh. 2.4 - Prob. 10CCh. 2.4 - Prob. 11CCh. 2.4 - Prob. 12CCh. 2.4 - Prob. 13CCh. 2.4 - Prob. 14CCh. 2.4 - Prob. 15CCh. 2.4 - Prob. 16CCh. 2.4 - Prob. 17CCh. 2.4 - Prob. 18CCh. 2.4 - Prob. 19CCh. 2.4 - Prob. 20CCh. 2.4 - Prob. 21SCh. 2.4 - Prob. 22SCh. 2.4 - Prob. 23SCh. 2.4 - Prob. 24SCh. 2.4 - Prob. 25SCh. 2.4 - Prob. 26SCh. 2.4 - Prob. 27SCh. 2.4 - Prob. 28SCh. 2.4 - Prob. 29SCh. 2.4 - Prob. 30SCh. 2.4 - Prob. 31SCh. 2.4 - Prob. 32SCh. 2.4 - Prob. 33SCh. 2.4 - Prob. 34SCh. 2.4 - Prob. 35SCh. 2.4 - Prob. 36SCh. 2.4 - Prob. 37SCh. 2.4 - Prob. 38SCh. 2.4 - Prob. 39SCh. 2.4 - Prob. 40SCh. 2.4 - Prob. 41SCh. 2.4 - Prob. 42SCh. 2.4 - Prob. 43SCh. 2.4 - Prob. 44SCh. 2.4 - Prob. 45SCh. 2.4 - Prob. 46SCh. 2.4 - Prob. 47SCh. 2.4 - Prob. 48SCh. 2.4 - Prob. 49SCh. 2.4 - Prob. 50SCh. 2.4 - Prob. 51SCh. 2.4 - Prob. 52SCh. 2.4 - Prob. 53SCh. 2.4 - Prob. 54SCh. 2.4 - Prob. 55SCh. 2.4 - Prob. 56SCh. 2.4 - Prob. 57SCh. 2.4 - Prob. 58SCh. 2.4 - Prob. 59SCh. 2.4 - Prob. 60SCh. 2.4 - Prob. 61SCh. 2.4 - Prob. 62SCh. 2.4 - Prob. 63SCh. 2.4 - Prob. 64SCh. 2.4 - Prob. 65SCh. 2.4 - Prob. 66SCh. 2.4 - Prob. 67SCh. 2.4 - Prob. 68SCh. 2.4 - Prob. 69SCh. 2.4 - Prob. 70SCh. 2.4 - Prob. 71SCh. 2.4 - Prob. 72SCh. 2.4 - Prob. 73SCh. 2.4 - Prob. 74SCh. 2.4 - Prob. 75SCh. 2.4 - Prob. 76SCh. 2.4 - Prob. 77SCh. 2.4 - Prob. 78SCh. 2.4 - Prob. 79SCh. 2.4 - Prob. 80SCh. 2.4 - Prob. 81SCh. 2.4 - Prob. 82SCh. 2.4 - Prob. 83SCh. 2.4 - Prob. 84SCh. 2.4 - Prob. 85ACh. 2.4 - Prob. 86ACh. 2.4 - Prob. 87ACh. 2.4 - Prob. 88PCh. 2.4 - Prob. 89PCh. 2.4 - Prob. 90PCh. 2.4 - Prob. 91PCh. 2.4 - Prob. 92PCh. 2.4 - Prob. 93PCh. 2.4 - Prob. 94PCh. 2.4 - Prob. 1TFCh. 2.4 - Prob. 2TFCh. 2.4 - Prob. 3TFCh. 2.4 - Prob. 4TFCh. 2.4 - Prob. 5TFCh. 2.4 - Prob. 6TFCh. 2.4 - Prob. 7TFCh. 2.4 - Prob. 8TFCh. 2.4 - Prob. 9TFCh. 2.4 - Prob. 10TFCh. 2.5 - Prob. 1TBCh. 2.5 - Prob. 2TBCh. 2.5 - Prob. 0CCh. 2.5 - Prob. 1CCh. 2.5 - Prob. 2CCh. 2.5 - Prob. 3CCh. 2.5 - Prob. 4CCh. 2.5 - Prob. 5CCh. 2.5 - Prob. 6CCh. 2.5 - Prob. 7CCh. 2.5 - Prob. 8CCh. 2.5 - Prob. 9CCh. 2.5 - Prob. 10CCh. 2.5 - Prob. 11CCh. 2.5 - Prob. 12CCh. 2.5 - Prob. 13CCh. 2.5 - Prob. 14CCh. 2.5 - Prob. 15CCh. 2.5 - Prob. 16CCh. 2.5 - Prob. 17SCh. 2.5 - Prob. 18SCh. 2.5 - Prob. 19SCh. 2.5 - Prob. 20SCh. 2.5 - Prob. 21SCh. 2.5 - Prob. 22SCh. 2.5 - Prob. 23SCh. 2.5 - Prob. 24SCh. 2.5 - Prob. 25SCh. 2.5 - Prob. 26SCh. 2.5 - Prob. 27SCh. 2.5 - Prob. 28SCh. 2.5 - Prob. 29SCh. 2.5 - Prob. 30SCh. 2.5 - Prob. 31SCh. 2.5 - Prob. 32SCh. 2.5 - Prob. 33SCh. 2.5 - Prob. 34SCh. 2.5 - Prob. 35SCh. 2.5 - Prob. 36SCh. 2.5 - Prob. 37SCh. 2.5 - Prob. 38SCh. 2.5 - Prob. 39SCh. 2.5 - Prob. 40SCh. 2.5 - Prob. 41SCh. 2.5 - Prob. 42SCh. 2.5 - Prob. 43SCh. 2.5 - Prob. 44SCh. 2.5 - Prob. 45SCh. 2.5 - Prob. 46SCh. 2.5 - Prob. 47SCh. 2.5 - Prob. 48SCh. 2.5 - Prob. 49SCh. 2.5 - Prob. 50SCh. 2.5 - Prob. 51SCh. 2.5 - Prob. 52SCh. 2.5 - Prob. 53SCh. 2.5 - Prob. 54SCh. 2.5 - Prob. 55SCh. 2.5 - Prob. 56SCh. 2.5 - Prob. 57SCh. 2.5 - Prob. 58SCh. 2.5 - Prob. 59SCh. 2.5 - Prob. 60SCh. 2.5 - Prob. 61SCh. 2.5 - Prob. 62SCh. 2.5 - Prob. 63SCh. 2.5 - Prob. 64ACh. 2.5 - Prob. 65ACh. 2.5 - Prob. 66ACh. 2.5 - Prob. 67ACh. 2.5 - Prob. 68PCh. 2.5 - Prob. 69PCh. 2.5 - Prob. 70PCh. 2.5 - Prob. 71PCh. 2.5 - Prob. 72PCh. 2.5 - Prob. 73PCh. 2.5 - Prob. 74PCh. 2.5 - Prob. 1TFCh. 2.5 - Prob. 2TFCh. 2.5 - Prob. 3TFCh. 2.5 - Prob. 4TFCh. 2.5 - Prob. 5TFCh. 2.5 - Prob. 6TFCh. 2.5 - Prob. 7TFCh. 2.6 - Prob. 1TBCh. 2.6 - Prob. 2TBCh. 2.6 - Prob. 3TBCh. 2.6 - Prob. 0CCh. 2.6 - Prob. 1CCh. 2.6 - Prob. 2CCh. 2.6 - Prob. 3CCh. 2.6 - Prob. 4CCh. 2.6 - Prob. 5CCh. 2.6 - Prob. 6CCh. 2.6 - Prob. 7CCh. 2.6 - Prob. 8CCh. 2.6 - Prob. 9CCh. 2.6 - Prob. 10CCh. 2.6 - Prob. 11CCh. 2.6 - Prob. 12CCh. 2.6 - Prob. 13CCh. 2.6 - Prob. 14CCh. 2.6 - Prob. 15CCh. 2.6 - Prob. 16CCh. 2.6 - Prob. 17SCh. 2.6 - Prob. 18SCh. 2.6 - Prob. 19SCh. 2.6 - Prob. 20SCh. 2.6 - Prob. 21SCh. 2.6 - Prob. 22SCh. 2.6 - Prob. 23SCh. 2.6 - Prob. 24SCh. 2.6 - Prob. 25SCh. 2.6 - Prob. 26SCh. 2.6 - Prob. 27SCh. 2.6 - Prob. 28SCh. 2.6 - Prob. 29SCh. 2.6 - Prob. 30SCh. 2.6 - Prob. 31SCh. 2.6 - Prob. 32SCh. 2.6 - Prob. 33SCh. 2.6 - Prob. 34SCh. 2.6 - Prob. 35SCh. 2.6 - Prob. 36SCh. 2.6 - Prob. 37SCh. 2.6 - Prob. 38SCh. 2.6 - Prob. 39SCh. 2.6 - Prob. 40SCh. 2.6 - Prob. 41SCh. 2.6 - Prob. 42SCh. 2.6 - Prob. 43SCh. 2.6 - Prob. 44SCh. 2.6 - Prob. 45SCh. 2.6 - Prob. 46SCh. 2.6 - Prob. 47SCh. 2.6 - Prob. 48SCh. 2.6 - Prob. 49SCh. 2.6 - Prob. 50SCh. 2.6 - Prob. 51SCh. 2.6 - Prob. 52SCh. 2.6 - Prob. 53SCh. 2.6 - Prob. 54SCh. 2.6 - Prob. 55SCh. 2.6 - Prob. 56SCh. 2.6 - Prob. 57SCh. 2.6 - Prob. 58SCh. 2.6 - Prob. 59SCh. 2.6 - Prob. 60SCh. 2.6 - Prob. 61SCh. 2.6 - Prob. 62SCh. 2.6 - Prob. 63SCh. 2.6 - Prob. 64SCh. 2.6 - Prob. 65SCh. 2.6 - Prob. 66SCh. 2.6 - Prob. 67SCh. 2.6 - Prob. 68SCh. 2.6 - Prob. 69SCh. 2.6 - Prob. 70SCh. 2.6 - Prob. 71SCh. 2.6 - Prob. 72SCh. 2.6 - Prob. 73SCh. 2.6 - Prob. 74SCh. 2.6 - Prob. 75SCh. 2.6 - Prob. 76SCh. 2.6 - Prob. 77SCh. 2.6 - Prob. 78ACh. 2.6 - Prob. 79ACh. 2.6 - Prob. 80ACh. 2.6 - Prob. 81ACh. 2.6 - Prob. 82ACh. 2.6 - Prob. 83PCh. 2.6 - Prob. 84PCh. 2.6 - Prob. 85PCh. 2.6 - Prob. 86PCh. 2.6 - Prob. 87PCh. 2.6 - Prob. 88PCh. 2.6 - Prob. 89PCh. 2.6 - Prob. 90PCh. 2.6 - Prob. 91PCh. 2.6 - Prob. 92PCh. 2.6 - Prob. 93PCh. 2.6 - Prob. 94PCh. 2.6 - Prob. 95PCh. 2.6 - Prob. 96PCh. 2.6 - Prob. 97PCh. 2.6 - Prob. 98PCh. 2.6 - Prob. 99PCh. 2.6 - Prob. 1TFCh. 2.6 - Prob. 2TFCh. 2.6 - Prob. 3TFCh. 2 - Prob. 1DCh. 2 - Prob. 2DCh. 2 - Prob. 3DCh. 2 - Prob. 4DCh. 2 - Prob. 5DCh. 2 - Prob. 6DCh. 2 - Prob. 7DCh. 2 - Prob. 8DCh. 2 - Prob. 9DCh. 2 - Prob. 10DCh. 2 - Prob. 1TCh. 2 - Prob. 2TCh. 2 - Prob. 3TCh. 2 - Prob. 4TCh. 2 - Prob. 1NDRCh. 2 - Prob. 2NDRCh. 2 - Prob. 3NDRCh. 2 - Prob. 4NDRCh. 2 - Prob. 5NDRCh. 2 - Prob. 6NDRCh. 2 - Prob. 7NDRCh. 2 - Prob. 8NDRCh. 2 - Prob. 9NDRCh. 2 - Prob. 10NDRCh. 2 - Prob. 11NDRCh. 2 - Prob. 12NDRCh. 2 - Prob. 13NDRCh. 2 - Prob. 14NDRCh. 2 - Prob. 15NDRCh. 2 - Prob. 16NDRCh. 2 - Prob. 17NDRCh. 2 - Prob. 18NDRCh. 2 - Prob. 19NDRCh. 2 - Prob. 20NDRCh. 2 - Prob. 21NDRCh. 2 - Prob. 22NDRCh. 2 - Prob. 23NDRCh. 2 - Prob. 24NDRCh. 2 - Prob. 25NDRCh. 2 - Prob. 26NDRCh. 2 - Prob. 27NDRCh. 2 - Prob. 28NDRCh. 2 - Prob. 29NDRCh. 2 - Prob. 30NDRCh. 2 - Prob. 31NDRCh. 2 - Prob. 32NDRCh. 2 - Prob. 33NDRCh. 2 - Prob. 34NDRCh. 2 - Prob. 35NDRCh. 2 - Prob. 36NDRCh. 2 - Prob. 37NDRCh. 2 - Prob. 38NDRCh. 2 - Prob. 39NDRCh. 2 - Prob. 40NDRCh. 2 - Prob. 41NDRCh. 2 - Prob. 42NDRCh. 2 - Prob. 43NDRCh. 2 - Prob. 44NDRCh. 2 - Prob. 45NDRCh. 2 - Prob. 1SCCh. 2 - Prob. 2SCCh. 2 - Prob. 3SCCh. 2 - Prob. 4SCCh. 2 - Prob. 5SCCh. 2 - Prob. 6SCCh. 2 - Prob. 7SCCh. 2 - Prob. 8SCCh. 2 - Prob. 9SCCh. 2 - Prob. 10SCCh. 2 - Prob. 11SCCh. 2 - Prob. 12SCCh. 2 - Prob. 13SCCh. 2 - Prob. 14SCCh. 2 - Prob. 15SCCh. 2 - Prob. 16SCCh. 2 - Prob. 17SCCh. 2 - Prob. 18SCCh. 2 - Prob. 19SCCh. 2 - Prob. 20SCCh. 2 - Prob. 21SCCh. 2 - Prob. 22SCCh. 2 - Prob. 23SCCh. 2 - Prob. 24SCCh. 2 - Prob. 25SCCh. 2 - Prob. 26SCCh. 2 - Prob. 27SCCh. 2 - Prob. 28SCCh. 2 - Prob. 29SCCh. 2 - Prob. 30SCCh. 2 - Prob. 31SCCh. 2 - Prob. 32SCCh. 2 - Prob. 33SCCh. 2 - Prob. 34SCCh. 2 - Prob. 35SCCh. 2 - Prob. 36SCCh. 2 - Prob. 37SCCh. 2 - Prob. 38SCCh. 2 - Prob. 39SCCh. 2 - Prob. 40SCCh. 2 - Prob. 41SCCh. 2 - Prob. 42SCCh. 2 - Prob. ACPCh. 2 - Prob. BCPCh. 2 - Prob. CCPCh. 2 - Prob. DCP
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X 0.9 0.99 0.999 1.001 1.01 1.1 f(x) ○ D. + ☑ (Round to six decimal places as needed.) Does the table from the previous step support your conjecture? A. No, it does not. The function f(x) approaches a different value in the table of values than in the graph, after the approached values are rounded to the…arrow_forwardx²-19x+90 Let f(x) = . Complete parts (a) through (c) below. x-a a. For what values of a, if any, does lim f(x) equal a finite number? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. x→a+ ○ A. a= (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There are no values of a for which the limit equals a finite number. b. For what values of a, if any, does lim f(x) = ∞o? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. x→a+ A. (Type integers or simplified fractions) C. There are no values of a that satisfy lim f(x) = ∞. + x-a c. For what values of a, if any, does lim f(x) = -∞0? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. x→a+ A. Either a (Type integers or simplified fractions) B.arrow_forwardSketch a possible graph of a function f, together with vertical asymptotes, that satisfies all of the following conditions. f(2)=0 f(4) is undefined lim f(x)=1 X-6 lim f(x) = -∞ x-0+ lim f(x) = ∞ lim f(x) = ∞ x-4 _8arrow_forwardDetermine the following limit. lim 35w² +8w+4 w→∞ √49w+w³ 3 Select the correct choice below, and, if necessary, fill in the answer box to complete your choice. ○ A. lim W→∞ 35w² +8w+4 49w+w3 (Simplify your answer.) B. The limit does not exist and is neither ∞ nor - ∞.arrow_forwardCalculate the limit lim X-a x-a 5 using the following factorization formula where n is a positive integer and x-➡a a is a real number. x-a = (x-a) (x1+x-2a+x lim x-a X - a x-a 5 = n- + xa an-2 + an−1)arrow_forwardThe function s(t) represents the position of an object at time t moving along a line. Suppose s(1) = 116 and s(5)=228. Find the average velocity of the object over the interval of time [1,5]. The average velocity over the interval [1,5] is Vav = (Simplify your answer.)arrow_forwardFor the position function s(t) = - 16t² + 105t, complete the following table with the appropriate average velocities. Then make a conjecture about the value of the instantaneous velocity at t = 1. Time Interval Average Velocity [1,2] Complete the following table. Time Interval Average Velocity [1, 1.5] [1, 1.1] [1, 1.01] [1, 1.001] [1,2] [1, 1.5] [1, 1.1] [1, 1.01] [1, 1.001] ப (Type exact answers. Type integers or decimals.) The value of the instantaneous velocity at t = 1 is (Round to the nearest integer as needed.)arrow_forwardFind the following limit or state that it does not exist. Assume b is a fixed real number. (x-b) 40 - 3x + 3b lim x-b x-b ... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (x-b) 40 -3x+3b A. lim x-b x-b B. The limit does not exist. (Type an exact answer.)arrow_forwardx4 -289 Consider the function f(x) = 2 X-17 Complete parts a and b below. a. Analyze lim f(x) and lim f(x), and then identify the horizontal asymptotes. x+x X--∞ lim 4 X-289 2 X∞ X-17 X - 289 lim = 2 ... X∞ X - 17 Identify the horizontal asymptotes. Select the correct choice and, if necessary, fill in the answer box(es) to complete your choice. A. The function has a horizontal asymptote at y = B. The function has two horizontal asymptotes. The top asymptote is y = and the bottom asymptote is y = ☐ . C. The function has no horizontal asymptotes. b. Find the vertical asymptotes. For each vertical asymptote x = a, evaluate lim f(x) and lim f(x). Select the correct choice and, if necessary, fill in the answer boxes to complete your choice. earrow_forwardExplain why lim x²-2x-35 X-7 X-7 lim (x+5), and then evaluate lim X-7 x² -2x-35 x-7 x-7 Choose the correct answer below. A. x²-2x-35 The limits lim X-7 X-7 and lim (x+5) equal the same number when evaluated using X-7 direct substitution. B. Since each limit approaches 7, it follows that the limits are equal. C. The numerator of the expression X-2x-35 X-7 simplifies to x + 5 for all x, so the limits are equal. D. Since x²-2x-35 X-7 = x + 5 whenever x 7, it follows that the two expressions evaluate to the same number as x approaches 7. Now evaluate the limit. x²-2x-35 lim X-7 X-7 = (Simplify your answer.)arrow_forwardA function f is even if f(x) = f(x) for all x in the domain of f. If f is even, with lim f(x) = 4 and x-6+ lim f(x)=-3, find the following limits. X-6 a. lim f(x) b. +9-←x lim f(x) X-6 a. lim f(x)= +9-←x (Simplify your answer.) b. lim f(x)= X→-6 (Simplify your answer.) ...arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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