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Calculus
5th Edition
ISBN: 9781429241861
Author: Laura Taalman, Peter Kohn
Publisher: W. H. Freeman
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Question
Chapter 4.6, Problem 36S
a.
To determine
The exact value of the signed area of the region between the graph of f(x)=3−2xx2 and the x -axis on the interval [1, 4] using definite integrals and the Fundamental Theorem of Calculus.
b.
To determine
The exact value of the absolute area of the region between the graph of f(x)=3−2xx2 and the x -axis on the interval [1, 4] using definite integrals and the Fundamental Theorem of Calculus.
Expert Solution & Answer
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Chapter 4 Solutions
Calculus
Ch. 4.1 - Prob. 1TBCh. 4.1 - Prob. 2TBCh. 4.1 - Prob. 3TBCh. 4.1 - Prob. 0CCh. 4.1 - Prob. 1CCh. 4.1 - Prob. 2CCh. 4.1 - Prob. 3CCh. 4.1 - Prob. 4CCh. 4.1 - Prob. 5CCh. 4.1 - Prob. 6C
Ch. 4.1 - Prob. 7CCh. 4.1 - Prob. 8CCh. 4.1 - Prob. 9CCh. 4.1 - Prob. 10CCh. 4.1 - Prob. 11CCh. 4.1 - Prob. 12CCh. 4.1 - Prob. 13CCh. 4.1 - Prob. 14CCh. 4.1 - Prob. 15CCh. 4.1 - Prob. 16CCh. 4.1 - Prob. 17CCh. 4.1 - Prob. 18CCh. 4.1 - Prob. 19CCh. 4.1 - Prob. 20CCh. 4.1 - Prob. 21SCh. 4.1 - Prob. 22SCh. 4.1 - Prob. 23SCh. 4.1 - Prob. 24SCh. 4.1 - Prob. 25SCh. 4.1 - Prob. 26SCh. 4.1 - Prob. 27SCh. 4.1 - Prob. 28SCh. 4.1 - Prob. 29SCh. 4.1 - Prob. 30SCh. 4.1 - Prob. 31SCh. 4.1 - Prob. 32SCh. 4.1 - Prob. 33SCh. 4.1 - Prob. 34SCh. 4.1 - Prob. 35SCh. 4.1 - Prob. 36SCh. 4.1 - Prob. 37SCh. 4.1 - Prob. 38SCh. 4.1 - Prob. 39SCh. 4.1 - Prob. 40SCh. 4.1 - Prob. 41SCh. 4.1 - Prob. 42SCh. 4.1 - Prob. 43SCh. 4.1 - Prob. 44SCh. 4.1 - Prob. 45SCh. 4.1 - Prob. 46SCh. 4.1 - Prob. 47SCh. 4.1 - Prob. 48SCh. 4.1 - Prob. 49SCh. 4.1 - Prob. 50SCh. 4.1 - Prob. 51SCh. 4.1 - Prob. 52SCh. 4.1 - Prob. 53ACh. 4.1 - Prob. 54ACh. 4.1 - Prob. 55ACh. 4.1 - Prob. 56ACh. 4.1 - Prob. 57ACh. 4.1 - Prob. 58PCh. 4.1 - Prob. 59PCh. 4.1 - Prob. 60PCh. 4.1 - Prob. 61PCh. 4.1 - Prob. 62PCh. 4.1 - Prob. 1TFCh. 4.1 - Prob. 2TFCh. 4.1 - Prob. 3TFCh. 4.1 - Prob. 4TFCh. 4.1 - Prob. 5TFCh. 4.1 - Prob. 6TFCh. 4.1 - Prob. 7TFCh. 4.2 - Prob. 1TBCh. 4.2 - Prob. 0CCh. 4.2 - Prob. 1CCh. 4.2 - Prob. 2CCh. 4.2 - Prob. 3CCh. 4.2 - Prob. 4CCh. 4.2 - Prob. 5CCh. 4.2 - Prob. 6CCh. 4.2 - Prob. 7CCh. 4.2 - Prob. 8CCh. 4.2 - Prob. 9CCh. 4.2 - Prob. 10CCh. 4.2 - Prob. 11CCh. 4.2 - Prob. 12CCh. 4.2 - Prob. 13CCh. 4.2 - Prob. 14CCh. 4.2 - Prob. 15CCh. 4.2 - Prob. 16CCh. 4.2 - Prob. 17CCh. 4.2 - Prob. 18CCh. 4.2 - Prob. 19CCh. 4.2 - Prob. 20CCh. 4.2 - Prob. 21SCh. 4.2 - Prob. 22SCh. 4.2 - Prob. 23SCh. 4.2 - Prob. 24SCh. 4.2 - Prob. 25SCh. 4.2 - Prob. 26SCh. 4.2 - Prob. 27SCh. 4.2 - Prob. 28SCh. 4.2 - Prob. 29SCh. 4.2 - Prob. 30SCh. 4.2 - Prob. 31SCh. 4.2 - Prob. 32SCh. 4.2 - Prob. 33SCh. 4.2 - Prob. 34SCh. 4.2 - Prob. 35SCh. 4.2 - Prob. 36SCh. 4.2 - Prob. 37SCh. 4.2 - Prob. 38SCh. 4.2 - Prob. 39SCh. 4.2 - Prob. 40SCh. 4.2 - Prob. 41SCh. 4.2 - Prob. 42SCh. 4.2 - Prob. 43SCh. 4.2 - Prob. 44SCh. 4.2 - Prob. 45ACh. 4.2 - Prob. 46ACh. 4.2 - Prob. 47ACh. 4.2 - Prob. 48ACh. 4.2 - Prob. 49ACh. 4.2 - Prob. 50PCh. 4.2 - Prob. 51PCh. 4.2 - Prob. 52PCh. 4.2 - Prob. 53PCh. 4.2 - Prob. 1TFCh. 4.2 - Prob. 2TFCh. 4.2 - Prob. 3TFCh. 4.2 - Prob. 4TFCh. 4.2 - Prob. 5TFCh. 4.2 - Prob. 6TFCh. 4.2 - Prob. 7TFCh. 4.2 - Prob. 8TFCh. 4.2 - Prob. 9TFCh. 4.2 - Prob. 10TFCh. 4.2 - Prob. 11TFCh. 4.3 - Prob. 1TBCh. 4.3 - Prob. 2TBCh. 4.3 - Prob. 0CCh. 4.3 - Prob. 1CCh. 4.3 - Prob. 2CCh. 4.3 - Prob. 3CCh. 4.3 - Prob. 4CCh. 4.3 - Prob. 5CCh. 4.3 - Prob. 6CCh. 4.3 - Prob. 7CCh. 4.3 - Prob. 8CCh. 4.3 - Prob. 9CCh. 4.3 - Prob. 10CCh. 4.3 - Prob. 11CCh. 4.3 - Prob. 12CCh. 4.3 - Prob. 13CCh. 4.3 - Prob. 14CCh. 4.3 - Prob. 15CCh. 4.3 - Prob. 16CCh. 4.3 - Prob. 17CCh. 4.3 - Prob. 18CCh. 4.3 - Prob. 19CCh. 4.3 - Prob. 20CCh. 4.3 - Prob. 21SCh. 4.3 - Prob. 22SCh. 4.3 - Prob. 23SCh. 4.3 - Prob. 24SCh. 4.3 - Prob. 25SCh. 4.3 - Prob. 26SCh. 4.3 - Prob. 27SCh. 4.3 - Prob. 28SCh. 4.3 - Prob. 29SCh. 4.3 - Prob. 30SCh. 4.3 - Prob. 31SCh. 4.3 - Prob. 32SCh. 4.3 - Prob. 33SCh. 4.3 - Prob. 34SCh. 4.3 - Prob. 35SCh. 4.3 - Prob. 36SCh. 4.3 - Prob. 37SCh. 4.3 - Prob. 38SCh. 4.3 - Prob. 39SCh. 4.3 - Prob. 40SCh. 4.3 - Prob. 41SCh. 4.3 - Prob. 42SCh. 4.3 - Prob. 43SCh. 4.3 - Prob. 44SCh. 4.3 - Prob. 45SCh. 4.3 - Prob. 46SCh. 4.3 - Prob. 47SCh. 4.3 - Prob. 48SCh. 4.3 - Prob. 49SCh. 4.3 - Prob. 50SCh. 4.3 - Prob. 51SCh. 4.3 - Prob. 52SCh. 4.3 - Prob. 53ACh. 4.3 - Prob. 54ACh. 4.3 - Prob. 55PCh. 4.3 - Prob. 56PCh. 4.3 - Prob. 57PCh. 4.3 - Prob. 58PCh. 4.3 - Prob. 59PCh. 4.3 - Prob. 60PCh. 4.3 - Prob. 61PCh. 4.3 - Prob. 62PCh. 4.3 - Prob. 1TFCh. 4.3 - Prob. 2TFCh. 4.3 - Prob. 3TFCh. 4.3 - Prob. 4TFCh. 4.4 - Prob. 1TBCh. 4.4 - Prob. 2TBCh. 4.4 - Prob. 3TBCh. 4.4 - Prob. 4TBCh. 4.4 - Prob. 0CCh. 4.4 - Prob. 1CCh. 4.4 - Prob. 2CCh. 4.4 - Prob. 3CCh. 4.4 - Prob. 4CCh. 4.4 - Prob. 5CCh. 4.4 - Prob. 6CCh. 4.4 - Prob. 7CCh. 4.4 - Prob. 8CCh. 4.4 - Prob. 9CCh. 4.4 - Prob. 10CCh. 4.4 - Prob. 11CCh. 4.4 - Prob. 12CCh. 4.4 - Prob. 13CCh. 4.4 - Prob. 14CCh. 4.4 - Prob. 15CCh. 4.4 - Prob. 16CCh. 4.4 - Prob. 17CCh. 4.4 - Prob. 18CCh. 4.4 - Prob. 19CCh. 4.4 - Prob. 20CCh. 4.4 - Prob. 21SCh. 4.4 - Prob. 22SCh. 4.4 - Prob. 23SCh. 4.4 - Prob. 24SCh. 4.4 - Prob. 25SCh. 4.4 - Prob. 26SCh. 4.4 - Prob. 27SCh. 4.4 - Prob. 28SCh. 4.4 - Prob. 29SCh. 4.4 - Prob. 30SCh. 4.4 - Prob. 31SCh. 4.4 - Prob. 32SCh. 4.4 - Prob. 33SCh. 4.4 - Prob. 34SCh. 4.4 - Prob. 35SCh. 4.4 - Prob. 36SCh. 4.4 - Prob. 37SCh. 4.4 - Prob. 38SCh. 4.4 - Prob. 39SCh. 4.4 - Prob. 40SCh. 4.4 - Prob. 41SCh. 4.4 - Prob. 42SCh. 4.4 - Prob. 43SCh. 4.4 - Prob. 44SCh. 4.4 - Prob. 45SCh. 4.4 - Prob. 46SCh. 4.4 - Prob. 47SCh. 4.4 - Prob. 48SCh. 4.4 - Prob. 49SCh. 4.4 - Prob. 50SCh. 4.4 - Prob. 51SCh. 4.4 - Prob. 52SCh. 4.4 - Prob. 53SCh. 4.4 - Prob. 54SCh. 4.4 - Prob. 55SCh. 4.4 - Prob. 56SCh. 4.4 - Prob. 57SCh. 4.4 - Prob. 58SCh. 4.4 - Prob. 59SCh. 4.4 - Prob. 60SCh. 4.4 - Prob. 61SCh. 4.4 - Prob. 62SCh. 4.4 - Prob. 63SCh. 4.4 - Prob. 64SCh. 4.4 - Prob. 65SCh. 4.4 - Prob. 66SCh. 4.4 - Prob. 67SCh. 4.4 - Prob. 68SCh. 4.4 - Prob. 69ACh. 4.4 - Prob. 70ACh. 4.4 - Prob. 71PCh. 4.4 - Prob. 72PCh. 4.4 - Prob. 73PCh. 4.4 - Prob. 74PCh. 4.4 - Prob. 75PCh. 4.4 - Prob. 76PCh. 4.4 - Prob. 77PCh. 4.4 - Prob. 78PCh. 4.4 - Prob. 79PCh. 4.4 - Prob. 1TFCh. 4.4 - Prob. 2TFCh. 4.4 - Prob. 3TFCh. 4.4 - Prob. 4TFCh. 4.4 - Prob. 5TFCh. 4.4 - Prob. 6TFCh. 4.4 - Prob. 7TFCh. 4.4 - Prob. 8TFCh. 4.4 - Prob. 9TFCh. 4.4 - Prob. 10TFCh. 4.5 - Prob. 1TBCh. 4.5 - Prob. 2TBCh. 4.5 - Prob. 3TBCh. 4.5 - Prob. 4TBCh. 4.5 - Prob. 0CCh. 4.5 - Prob. 1CCh. 4.5 - Prob. 2CCh. 4.5 - Prob. 3CCh. 4.5 - Prob. 4CCh. 4.5 - Prob. 5CCh. 4.5 - Prob. 6CCh. 4.5 - Prob. 7CCh. 4.5 - Prob. 8CCh. 4.5 - Prob. 9CCh. 4.5 - Prob. 10CCh. 4.5 - Prob. 11CCh. 4.5 - Prob. 12CCh. 4.5 - Prob. 13CCh. 4.5 - Prob. 14CCh. 4.5 - Prob. 15CCh. 4.5 - Prob. 16CCh. 4.5 - Prob. 17CCh. 4.5 - Prob. 18CCh. 4.5 - Prob. 19SCh. 4.5 - Prob. 20SCh. 4.5 - Prob. 21SCh. 4.5 - Prob. 22SCh. 4.5 - Prob. 23SCh. 4.5 - Prob. 24SCh. 4.5 - Prob. 25SCh. 4.5 - Prob. 26SCh. 4.5 - Prob. 27SCh. 4.5 - Prob. 28SCh. 4.5 - Prob. 29SCh. 4.5 - Prob. 30SCh. 4.5 - Prob. 31SCh. 4.5 - Prob. 32SCh. 4.5 - Prob. 33SCh. 4.5 - Prob. 34SCh. 4.5 - Prob. 35SCh. 4.5 - Prob. 36SCh. 4.5 - Prob. 37SCh. 4.5 - Prob. 38SCh. 4.5 - Prob. 39SCh. 4.5 - Prob. 40SCh. 4.5 - Prob. 41SCh. 4.5 - Prob. 42SCh. 4.5 - Prob. 43SCh. 4.5 - Prob. 44SCh. 4.5 - Prob. 45SCh. 4.5 - Prob. 46SCh. 4.5 - Prob. 47SCh. 4.5 - Prob. 48SCh. 4.5 - Prob. 49SCh. 4.5 - Prob. 50SCh. 4.5 - Prob. 51SCh. 4.5 - Prob. 52SCh. 4.5 - Prob. 53SCh. 4.5 - Prob. 54SCh. 4.5 - Prob. 55SCh. 4.5 - Prob. 56SCh. 4.5 - Prob. 57SCh. 4.5 - Prob. 58SCh. 4.5 - Prob. 59SCh. 4.5 - Prob. 60SCh. 4.5 - Prob. 61SCh. 4.5 - Prob. 62SCh. 4.5 - Prob. 63SCh. 4.5 - Prob. 64SCh. 4.5 - Prob. 65ACh. 4.5 - Prob. 66ACh. 4.5 - Prob. 67ACh. 4.5 - Prob. 68ACh. 4.5 - Prob. 69ACh. 4.5 - Prob. 70ACh. 4.5 - Prob. 71ACh. 4.5 - Prob. 72PCh. 4.5 - Prob. 73PCh. 4.5 - Prob. 74PCh. 4.5 - Prob. 75PCh. 4.5 - Prob. 76PCh. 4.5 - Prob. 77PCh. 4.5 - Prob. 78PCh. 4.5 - Prob. 79PCh. 4.5 - Prob. 80PCh. 4.5 - Prob. 1TFCh. 4.5 - Prob. 2TFCh. 4.5 - Prob. 3TFCh. 4.5 - Prob. 4TFCh. 4.5 - Prob. 5TFCh. 4.5 - Prob. 6TFCh. 4.6 - Prob. 1TBCh. 4.6 - Prob. 2TBCh. 4.6 - Prob. 3TBCh. 4.6 - Prob. 4TBCh. 4.6 - Prob. 5TBCh. 4.6 - Prob. 0CCh. 4.6 - Prob. 1CCh. 4.6 - Prob. 2CCh. 4.6 - Prob. 3CCh. 4.6 - Prob. 4CCh. 4.6 - Prob. 5CCh. 4.6 - Prob. 6CCh. 4.6 - Prob. 7CCh. 4.6 - Prob. 8CCh. 4.6 - Prob. 9CCh. 4.6 - Prob. 10CCh. 4.6 - Prob. 11CCh. 4.6 - Prob. 12CCh. 4.6 - Prob. 13CCh. 4.6 - Prob. 14CCh. 4.6 - Prob. 15CCh. 4.6 - Prob. 16CCh. 4.6 - Prob. 17CCh. 4.6 - Prob. 18CCh. 4.6 - Prob. 19CCh. 4.6 - Prob. 20CCh. 4.6 - Prob. 21CCh. 4.6 - Prob. 22CCh. 4.6 - Prob. 23SCh. 4.6 - Prob. 24SCh. 4.6 - Prob. 25SCh. 4.6 - Prob. 26SCh. 4.6 - Prob. 27SCh. 4.6 - Prob. 28SCh. 4.6 - Prob. 29SCh. 4.6 - Prob. 30SCh. 4.6 - Prob. 31SCh. 4.6 - Prob. 32SCh. 4.6 - Prob. 33SCh. 4.6 - Prob. 34SCh. 4.6 - Prob. 35SCh. 4.6 - Prob. 36SCh. 4.6 - Prob. 37SCh. 4.6 - Prob. 38SCh. 4.6 - Prob. 39SCh. 4.6 - Prob. 40SCh. 4.6 - Prob. 41SCh. 4.6 - Prob. 42SCh. 4.6 - Prob. 43SCh. 4.6 - Prob. 44SCh. 4.6 - Prob. 45SCh. 4.6 - Prob. 46SCh. 4.6 - Prob. 47SCh. 4.6 - Prob. 48SCh. 4.6 - Prob. 49SCh. 4.6 - Prob. 50SCh. 4.6 - Prob. 51SCh. 4.6 - Prob. 52SCh. 4.6 - Prob. 53SCh. 4.6 - Prob. 54SCh. 4.6 - Prob. 55SCh. 4.6 - Prob. 56SCh. 4.6 - Prob. 57SCh. 4.6 - Prob. 58SCh. 4.6 - Prob. 59SCh. 4.6 - Prob. 60SCh. 4.6 - Prob. 61SCh. 4.6 - Prob. 62SCh. 4.6 - Prob. 63SCh. 4.6 - Prob. 64SCh. 4.6 - Prob. 65SCh. 4.6 - Prob. 66SCh. 4.6 - Prob. 67SCh. 4.6 - Prob. 68SCh. 4.6 - Prob. 69SCh. 4.6 - Prob. 70SCh. 4.6 - Prob. 71SCh. 4.6 - Prob. 72SCh. 4.6 - Prob. 73SCh. 4.6 - Prob. 74ACh. 4.6 - Prob. 75ACh. 4.6 - Prob. 76ACh. 4.6 - Prob. 77ACh. 4.6 - Prob. 78PCh. 4.6 - Prob. 79PCh. 4.6 - Prob. 80PCh. 4.6 - Prob. 81PCh. 4.6 - Prob. 82PCh. 4.6 - Prob. 1TFCh. 4.6 - Prob. 2TFCh. 4.6 - Prob. 3TFCh. 4.6 - Prob. 4TFCh. 4.6 - Prob. 5TFCh. 4.7 - Prob. 1TBCh. 4.7 - Prob. 2TBCh. 4.7 - Prob. 3TBCh. 4.7 - Prob. 0CCh. 4.7 - Prob. 1CCh. 4.7 - Prob. 2CCh. 4.7 - Prob. 3CCh. 4.7 - Prob. 4CCh. 4.7 - Prob. 5CCh. 4.7 - Prob. 6CCh. 4.7 - Prob. 7CCh. 4.7 - Prob. 8CCh. 4.7 - Prob. 9CCh. 4.7 - Prob. 10CCh. 4.7 - Prob. 11CCh. 4.7 - Prob. 12CCh. 4.7 - Prob. 13CCh. 4.7 - Prob. 14CCh. 4.7 - Prob. 15CCh. 4.7 - Prob. 16CCh. 4.7 - Prob. 17CCh. 4.7 - Prob. 18CCh. 4.7 - Prob. 19CCh. 4.7 - Prob. 20CCh. 4.7 - Prob. 21CCh. 4.7 - Prob. 22CCh. 4.7 - Prob. 23CCh. 4.7 - Prob. 24CCh. 4.7 - Prob. 25CCh. 4.7 - Prob. 26CCh. 4.7 - Prob. 27SCh. 4.7 - Prob. 28SCh. 4.7 - Prob. 29SCh. 4.7 - Prob. 30SCh. 4.7 - Prob. 31SCh. 4.7 - Prob. 32SCh. 4.7 - Prob. 33SCh. 4.7 - Prob. 34SCh. 4.7 - Prob. 35SCh. 4.7 - Prob. 36SCh. 4.7 - Prob. 37SCh. 4.7 - Prob. 38SCh. 4.7 - Prob. 39SCh. 4.7 - Prob. 40SCh. 4.7 - Prob. 41SCh. 4.7 - Prob. 42SCh. 4.7 - Prob. 43SCh. 4.7 - Prob. 44SCh. 4.7 - Prob. 45SCh. 4.7 - Prob. 46SCh. 4.7 - Prob. 47SCh. 4.7 - Prob. 48SCh. 4.7 - Prob. 49SCh. 4.7 - Prob. 50SCh. 4.7 - Prob. 51SCh. 4.7 - Prob. 52SCh. 4.7 - Prob. 53SCh. 4.7 - Prob. 54SCh. 4.7 - Prob. 55SCh. 4.7 - Prob. 56SCh. 4.7 - Prob. 57SCh. 4.7 - Prob. 58SCh. 4.7 - Prob. 59ACh. 4.7 - Prob. 60ACh. 4.7 - Prob. 61ACh. 4.7 - Prob. 62ACh. 4.7 - Prob. 63PCh. 4.7 - Prob. 64PCh. 4.7 - Prob. 65PCh. 4.7 - Prob. 66PCh. 4.7 - Prob. 67PCh. 4.7 - Prob. 68PCh. 4.7 - Prob. 69PCh. 4.7 - Prob. 70PCh. 4.7 - Prob. 71PCh. 4.7 - Prob. 72PCh. 4.7 - Prob. 73PCh. 4.7 - Prob. 74PCh. 4.7 - Prob. 75PCh. 4.7 - Prob. 76PCh. 4.7 - Prob. 77PCh. 4.7 - Prob. 78PCh. 4.7 - Prob. 1TFCh. 4.7 - Prob. 2TFCh. 4.7 - Prob. 3TFCh. 4.7 - Prob. 4TFCh. 4.7 - Prob. 5TFCh. 4.7 - Prob. 6TFCh. 4.7 - Prob. 7TFCh. 4.7 - Prob. 8TFCh. 4 - Prob. 1DCh. 4 - Prob. 2DCh. 4 - Prob. 3DCh. 4 - Prob. 4DCh. 4 - Prob. 5DCh. 4 - Prob. 6DCh. 4 - Prob. 7DCh. 4 - Prob. 8DCh. 4 - Prob. 9DCh. 4 - Prob. 10DCh. 4 - Prob. 11DCh. 4 - Prob. 12DCh. 4 - Prob. 13DCh. 4 - Prob. 1TCh. 4 - Prob. 2TCh. 4 - Prob. 3TCh. 4 - Prob. 4TCh. 4 - Prob. 5TCh. 4 - Prob. 6TCh. 4 - Prob. 7TCh. 4 - Prob. 8TCh. 4 - Prob. 9TCh. 4 - Prob. 10TCh. 4 - Prob. 11TCh. 4 - Prob. 12TCh. 4 - Prob. 13TCh. 4 - Prob. 1NFARCh. 4 - Prob. 2NFARCh. 4 - Prob. 3NFARCh. 4 - Prob. 4NFARCh. 4 - Prob. 5NFARCh. 4 - Prob. 6NFARCh. 4 - Prob. 7NFARCh. 4 - Prob. 8NFARCh. 4 - Prob. 9NFARCh. 4 - Prob. 10NFARCh. 4 - Prob. 11NFARCh. 4 - Prob. 12NFARCh. 4 - Prob. 13NFARCh. 4 - Prob. 14NFARCh. 4 - Prob. 15NFARCh. 4 - Prob. 16NFARCh. 4 - Prob. 17NFARCh. 4 - Prob. 18NFARCh. 4 - Prob. 19NFARCh. 4 - Prob. 20NFARCh. 4 - Prob. 21NFARCh. 4 - Prob. 22NFARCh. 4 - Prob. 23NFARCh. 4 - Prob. 24NFARCh. 4 - Prob. 25NFARCh. 4 - Prob. 26NFARCh. 4 - Prob. 27NFARCh. 4 - Prob. 28NFARCh. 4 - Prob. 29NFARCh. 4 - Prob. 30NFARCh. 4 - Prob. 31NFARCh. 4 - Prob. 32NFARCh. 4 - Prob. 33NFARCh. 4 - Prob. 34NFARCh. 4 - Prob. 35NFARCh. 4 - Prob. 36NFARCh. 4 - Prob. 37NFARCh. 4 - Prob. 38NFARCh. 4 - Prob. 39NFARCh. 4 - Prob. 40NFARCh. 4 - Prob. 41NFARCh. 4 - Prob. 42NFARCh. 4 - Prob. 43NFARCh. 4 - Prob. 44NFARCh. 4 - Prob. 45NFARCh. 4 - Prob. 46NFARCh. 4 - Prob. 47NFARCh. 4 - Prob. 48NFARCh. 4 - Prob. 49NFARCh. 4 - Prob. 50NFARCh. 4 - Prob. 51NFARCh. 4 - Prob. 52NFARCh. 4 - Prob. 53NFARCh. 4 - Prob. 54NFARCh. 4 - Prob. 1SCCh. 4 - Prob. 2SCCh. 4 - Prob. 3SCCh. 4 - Prob. 4SCCh. 4 - Prob. 5SCCh. 4 - Prob. 6SCCh. 4 - Prob. 7SCCh. 4 - Prob. 8SCCh. 4 - Prob. 9SCCh. 4 - Prob. 10SCCh. 4 - Prob. 11SCCh. 4 - Prob. 12SCCh. 4 - Prob. 13SCCh. 4 - Prob. 14SCCh. 4 - Prob. 15SCCh. 4 - Prob. 16SCCh. 4 - Prob. 17SCCh. 4 - Prob. 18SCCh. 4 - Prob. 19SCCh. 4 - Prob. 20SCCh. 4 - Prob. 21SCCh. 4 - Prob. 22SCCh. 4 - Prob. 23SCCh. 4 - Prob. 24SCCh. 4 - Prob. 25SCCh. 4 - Prob. 26SCCh. 4 - Prob. 27SCCh. 4 - Prob. 28SCCh. 4 - Prob. 29SCCh. 4 - Prob. 30SCCh. 4 - Prob. 31SCCh. 4 - Prob. 32SCCh. 4 - Prob. 33SCCh. 4 - Prob. 34SCCh. 4 - Prob. 35SCCh. 4 - Prob. 36SCCh. 4 - Prob. 37SCCh. 4 - Prob. 38SCCh. 4 - Prob. 39SCCh. 4 - Prob. 40SCCh. 4 - Prob. 41SCCh. 4 - Prob. 42SCCh. 4 - Prob. 43SCCh. 4 - Prob. 44SCCh. 4 - Prob. 45SCCh. 4 - Prob. 46SCCh. 4 - Prob. 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- 7. Evaluate the following limits and justify each step. (a) lim (3x²+2x+1) 1 x²+4x-12 (b) lim 1 2 x² - 2x t-√√3t+4 (c) lim t-0 4-t x²-6x+5 (d) lim (e) lim x 5 x-5 x→2 x²+2x+3 4u+1-3 (f) lim u➡2 u-2 1 (g) lim x-3 2 x 55 x - 7x4 +4 (h) lim xx 5x+2x-1 x+1 (i) lim x²-2x+5 - 7x8+4x7 +5xarrow_forward6. Given the following graph f(x). (-2,2) 2- -5 -3 -2 (-2,-1) -1 (0,1) -2- 1 (3,0) 2 3 4 5 (3,-1) א X Compute each of the following. (a) f(-2) (b) lim f(x) #129 (c) lim f(x) *→12+ (d) lim f(x) 811H (e) f(0) (f) lim f(x) 8011 (m) Is the function continuous at x = -2,0,3? Why or why not? (g) lim f(x) +0x (h) lim f(x) x 0 (i) f(3) (j) lim f(x) x-3- (k) lim f(x) x+3+ (1) lim f(x) #13arrow_forward3. Compute the profit corresponding to 12,000 units. 5. A rectangular box is to have a square base and a volume of 20 ft3. The material for the base costs $0.30 per ft2, the material for the sides cost $0.10 per ft2, and the material for the top costs $0.20 per ft2. Letting a denote the length of one side of the base, find a function in the variable x giving the cost of constructing the box. 6. Given the following graph f(x).arrow_forward
- 8. On what intervals, each function continuous? (a) f(x) = 3x11 + 4x²+1 3x²+5x-1 (b) g(x) = x²-4 X, x < 1, QTs the function f(x) continuous at = 1? Use the definition of continuity to justifyarrow_forwardreview problem please help!arrow_forwardSolve y"-2y+26y= 0, y(0) = 2, y'(0) = -13 y(t) =arrow_forward
- Evaluate the integral using integration by parts. 150 sec 20arrow_forwardEvaluate the integral using integration by parts. Stan (13y)dyarrow_forward3. Consider the sequences of functions f₁: [-π, π] → R, sin(n²x) An(2) n f pointwise as (i) Find a function ƒ : [-T,π] → R such that fn n∞. Further, show that fn →f uniformly on [-π,π] as n → ∞. [20 Marks] (ii) Does the sequence of derivatives f(x) has a pointwise limit on [-7, 7]? Justify your answer. [10 Marks]arrow_forward
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