
Calculus
5th Edition
ISBN: 9781429241861
Author: Laura Taalman, Peter Kohn
Publisher: W. H. Freeman
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Chapter 4, Problem 18NFAR
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Question 1 (Implicit differentiation). Use implicit differentiation to find Əz/Əx
and Əz/ǝy.
(a) x²+2y²+3z² 1
(b) ez
= xyz
(c) x2.
y²+ z² − 2z = 4
(d) yz+xln(y) = z²
4. The general solution of the differential equation y′′ + 2y′ + 5y = 0 isA. c1 + c2x B. c1 cos 2x + c2 sin 2x C. c1e^x cos 2x + c2e^x sin 2xD. c1e^−x cos 2x + c2e^−x sin 2x E. None of these.
3. The general solution of the differential equation y′′ + 2y′ + y = 0 isA. c1e^−x + c2e^−x B. c1e^−x + c2e^x C. c1e^−x + c2xe^−xD. c1 cos x + c2 sin x E. c1e^−x
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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- 2\int_{-3/2}^{3/2} \sqrt{4u^2+2} duarrow_forward2. Consider the following: Prove that x, x2, and 1/x are the solutions to the homogeneous equation corresponding to x³y"" + x²y" + 2xy' + 2y = 2x4. b. use variation of parameters to find a particular solution and complete the general solution to the differential equation. I am interested in process. You may use a computer for integration, finding determinants and doing Kramer's.arrow_forward3. A spring is stretched 6 in. by a mass that weighs 8 lb. The mass is attached to a dashpot mechanism that has a damping constant of 0.25 lb-sec./ft. and is acted on by an external force of 4 cos 2t lb. a. Set-up the differential equation and initial value problem for the system. b. Write the function in phase-amplitude form. C. Determine the transient solution to the system. Show your work. d. Determine the steady state of this system. Show your work. e. Is the system underdamped, overdamped or critically damped? Explain what this means for the system.arrow_forward
- 4. Suppose that you have a circuit with a resistance of 20, inductance of 14 H and a capacitance of 11 F. An EMF with equation of E(t) = 6 cos 4t supplies a continuous charge 60 to the circuit. Suppose that the q(0)= 8 V and the q'(0)=7. Use this information to answer the following questions a. Find the function that models the charge of this circuit. b. Is the circuit underdamped, overdamped or critically damped?arrow_forward1. Solve the initial value problem: y" -11y' + 30y = x³e6x y(0) 11, y'(0) = 36 =arrow_forwardWhat is the particular solution to the differential equation y′′ + y = 1/cos t ?arrow_forward
- Which of the following is the general solution to y′′ + 4y = e^2t + 12 sin(2t) ?A. y(t) = c1 cos(2t) + c2 sin(2t) + 1/8 e^2t − 3t cos(2t)B. y(t) = c1e^2t + c2e^−2t + 1/4 te^2t − 3t cos(2t)C. y(t) = c1 + c2e^−4t + 1/12 te^2t − 3t cos(2t)D. y(t) = c1 cos(2t) + c2 sin(2t) + 1/8 e^2t + 3 sin(2t)E. None of the above. Please include all steps! Thank you!arrow_forwardShow that i cote +1 = cosec 20 tan 20+1 = sec² O २ cos² + sin 20 = 1 using pythagon's theoremarrow_forwardFind the general solution to the differential equationarrow_forward
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