Calculus
5th Edition
ISBN: 9781429241861
Author: Laura Taalman, Peter Kohn
Publisher: W. H. Freeman
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Chapter 1.4, Problem 1C
(a)
To determine
Whether given statement is true or false.
‘If f is both left and right continuous at
(b)
To determine
Whether given statement is true or false.
If function is continuous on an open interval
(c)
To determine
Whether given statement is true or false.
If function is continuous on the closed interval
(d)
To determine
Whether given statement is true or false.
‘If f is continuous on the interval
(e)
To determine
Whether given statement is true or false.
‘If
(f)
To determine
Whether given statement is true or false.
‘If f is continuous everywhere and if
(g)
To determine
Whether given statement is true or false.
‘If f is continuous everywhere and if
(h)
To determine
Whether given statement is true or false.
‘If
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Question 4. Suppose you need to know an equation of the tangent plane to a
surface S at the point P(2, 1, 3). You don't have an equation for S but you know
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r1(t) = (2 + 3t, 1 — t², 3 − 4t + t²)
r2(u) = (1 + u², 2u³ − 1, 2u + 1)
both lie on S.
(a) Check that both r₁ and r2 pass through the point P.
1
(b) Give the expression of the 074 in two ways
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⚫ in terms of t using the expression of z(t) in the curve r1
(c) Similarly, give the expression of the 22 in two ways
Əz
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⚫ in terms of oz and oz using the chain rule
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მყ
•
in terms of u using the expression of z(u) in the curve r2
(d) Deduce the partial derivative 32 and 33 at the point P and the equation of
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the tangent plane
Coast Guard Patrol Search Mission The pilot of a Coast Guard patrol aircraft on a search mission had just spotted a disabled fishing trawler and
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6. The largest interval in which the solution of (cos t)y′′ +t^2y′ − (5/t)y = e^t/(t−3) , y(1) = 2, y′(1) = 0is guaranteed to exist by the Existence and Uniqueness Theorem is:A. (0, ∞) B. (π/2, 3) C. (0,π/2) D. (0, π) E. (0, 3)
Chapter 1 Solutions
Calculus
Ch. 1.1 - Prob. 1TBCh. 1.1 - Prob. 2TBCh. 1.1 - Prob. 0CCh. 1.1 - Prob. 1CCh. 1.1 - Prob. 2CCh. 1.1 - Prob. 3CCh. 1.1 - Prob. 4CCh. 1.1 - Prob. 5CCh. 1.1 - Prob. 6CCh. 1.1 - Prob. 7C
Ch. 1.1 - Prob. 8CCh. 1.1 - Prob. 9CCh. 1.1 - Prob. 10CCh. 1.1 - Prob. 11CCh. 1.1 - Prob. 12CCh. 1.1 - Prob. 13CCh. 1.1 - Prob. 14CCh. 1.1 - Prob. 15CCh. 1.1 - Prob. 16CCh. 1.1 - Prob. 17CCh. 1.1 - Prob. 18CCh. 1.1 - Prob. 19CCh. 1.1 - Prob. 20CCh. 1.1 - Prob. 21SCh. 1.1 - Prob. 22SCh. 1.1 - Prob. 23SCh. 1.1 - Prob. 24SCh. 1.1 - Prob. 25SCh. 1.1 - Prob. 26SCh. 1.1 - Prob. 27SCh. 1.1 - Prob. 28SCh. 1.1 - Prob. 29SCh. 1.1 - Prob. 30SCh. 1.1 - Prob. 31SCh. 1.1 - Prob. 32SCh. 1.1 - Prob. 33SCh. 1.1 - Prob. 34SCh. 1.1 - Prob. 35SCh. 1.1 - Prob. 36SCh. 1.1 - Prob. 37SCh. 1.1 - Prob. 38SCh. 1.1 - Prob. 39SCh. 1.1 - Prob. 40SCh. 1.1 - Prob. 41SCh. 1.1 - Prob. 42SCh. 1.1 - Prob. 43SCh. 1.1 - Prob. 44SCh. 1.1 - Prob. 45SCh. 1.1 - Prob. 46SCh. 1.1 - Prob. 47SCh. 1.1 - Prob. 48SCh. 1.1 - Prob. 49SCh. 1.1 - Prob. 50SCh. 1.1 - Prob. 51SCh. 1.1 - Prob. 52SCh. 1.1 - Prob. 53SCh. 1.1 - Prob. 54SCh. 1.1 - Prob. 55SCh. 1.1 - Prob. 56SCh. 1.1 - Prob. 57SCh. 1.1 - Prob. 58SCh. 1.1 - Prob. 59SCh. 1.1 - Prob. 60SCh. 1.1 - Prob. 61SCh. 1.1 - Prob. 62SCh. 1.1 - Prob. 63SCh. 1.1 - Prob. 64SCh. 1.1 - Prob. 65SCh. 1.1 - Prob. 66SCh. 1.1 - Prob. 67SCh. 1.1 - Prob. 68SCh. 1.1 - Prob. 69SCh. 1.1 - Prob. 70SCh. 1.1 - Prob. 71SCh. 1.1 - Prob. 72SCh. 1.1 - Prob. 73SCh. 1.1 - Prob. 74SCh. 1.1 - Prob. 75ACh. 1.1 - Prob. 76ACh. 1.1 - Prob. 77ACh. 1.1 - Prob. 78PCh. 1.1 - Prob. 79PCh. 1.1 - Prob. 80PCh. 1.1 - Prob. 81PCh. 1.1 - Prob. 1TFCh. 1.1 - Prob. 2TFCh. 1.2 - Prob. 1TBCh. 1.2 - Prob. 2TBCh. 1.2 - Prob. 0CCh. 1.2 - Prob. 1CCh. 1.2 - Prob. 2CCh. 1.2 - Prob. 3CCh. 1.2 - Prob. 4CCh. 1.2 - Prob. 5CCh. 1.2 - Prob. 6CCh. 1.2 - Prob. 7CCh. 1.2 - Prob. 8CCh. 1.2 - Prob. 9CCh. 1.2 - Prob. 10CCh. 1.2 - Prob. 11CCh. 1.2 - Prob. 12CCh. 1.2 - Prob. 13CCh. 1.2 - Prob. 14CCh. 1.2 - Prob. 15CCh. 1.2 - Prob. 16CCh. 1.2 - Prob. 17CCh. 1.2 - Prob. 18CCh. 1.2 - Prob. 19SCh. 1.2 - Prob. 20SCh. 1.2 - Prob. 21SCh. 1.2 - Prob. 22SCh. 1.2 - Prob. 23SCh. 1.2 - Prob. 24SCh. 1.2 - Prob. 25SCh. 1.2 - Prob. 26SCh. 1.2 - Prob. 27SCh. 1.2 - Prob. 28SCh. 1.2 - Prob. 29SCh. 1.2 - Prob. 30SCh. 1.2 - Prob. 31SCh. 1.2 - Prob. 32SCh. 1.2 - Prob. 33SCh. 1.2 - Prob. 34SCh. 1.2 - Prob. 35SCh. 1.2 - Prob. 36SCh. 1.2 - Prob. 37SCh. 1.2 - Prob. 38SCh. 1.2 - Prob. 39SCh. 1.2 - Prob. 40SCh. 1.2 - Prob. 41SCh. 1.2 - Prob. 42SCh. 1.2 - Prob. 43SCh. 1.2 - Prob. 44SCh. 1.2 - Prob. 45SCh. 1.2 - Prob. 46SCh. 1.2 - Prob. 47SCh. 1.2 - Prob. 48SCh. 1.2 - Prob. 49SCh. 1.2 - Prob. 50SCh. 1.2 - Prob. 51SCh. 1.2 - Prob. 52SCh. 1.2 - Prob. 53SCh. 1.2 - Prob. 54SCh. 1.2 - Prob. 55SCh. 1.2 - Prob. 56SCh. 1.2 - Prob. 57SCh. 1.2 - Prob. 58SCh. 1.2 - Prob. 59SCh. 1.2 - Prob. 60SCh. 1.2 - Prob. 61SCh. 1.2 - Prob. 62SCh. 1.2 - Prob. 63SCh. 1.2 - Prob. 64SCh. 1.2 - Prob. 65ACh. 1.2 - Prob. 66ACh. 1.2 - Prob. 67ACh. 1.2 - Prob. 68PCh. 1.2 - Prob. 69PCh. 1.2 - Prob. 70PCh. 1.2 - Prob. 71PCh. 1.2 - Prob. 1TFCh. 1.2 - Prob. 2TFCh. 1.3 - Prob. 1TBCh. 1.3 - Prob. 2TBCh. 1.3 - Prob. 0CCh. 1.3 - Prob. 1CCh. 1.3 - Prob. 2CCh. 1.3 - Prob. 3CCh. 1.3 - Prob. 4CCh. 1.3 - Prob. 5CCh. 1.3 - Prob. 6CCh. 1.3 - Prob. 7CCh. 1.3 - Prob. 8CCh. 1.3 - Prob. 9CCh. 1.3 - Prob. 10CCh. 1.3 - Prob. 11CCh. 1.3 - Prob. 12CCh. 1.3 - Prob. 13CCh. 1.3 - Prob. 14CCh. 1.3 - Prob. 15CCh. 1.3 - Prob. 16CCh. 1.3 - Prob. 17CCh. 1.3 - Prob. 18CCh. 1.3 - Prob. 19CCh. 1.3 - Prob. 20CCh. 1.3 - Prob. 21CCh. 1.3 - Prob. 22CCh. 1.3 - Prob. 23SCh. 1.3 - Prob. 24SCh. 1.3 - Prob. 25SCh. 1.3 - Prob. 26SCh. 1.3 - Prob. 27SCh. 1.3 - Prob. 28SCh. 1.3 - Prob. 29SCh. 1.3 - Prob. 30SCh. 1.3 - Prob. 31SCh. 1.3 - Prob. 32SCh. 1.3 - Prob. 33SCh. 1.3 - Prob. 34SCh. 1.3 - Prob. 35SCh. 1.3 - Prob. 36SCh. 1.3 - Prob. 37SCh. 1.3 - Prob. 38SCh. 1.3 - Prob. 39SCh. 1.3 - Prob. 40SCh. 1.3 - Prob. 41SCh. 1.3 - Prob. 42SCh. 1.3 - Prob. 43SCh. 1.3 - Prob. 44SCh. 1.3 - Prob. 45ACh. 1.3 - Prob. 46ACh. 1.3 - Prob. 47PCh. 1.3 - Prob. 48PCh. 1.3 - Prob. 49PCh. 1.3 - Prob. 50PCh. 1.3 - Prob. 51PCh. 1.3 - Prob. 52PCh. 1.3 - Prob. 53PCh. 1.3 - Prob. 54PCh. 1.3 - Prob. 55PCh. 1.3 - Prob. 56PCh. 1.3 - Prob. 57PCh. 1.3 - Prob. 58PCh. 1.3 - Prob. 59PCh. 1.3 - Prob. 60PCh. 1.3 - Prob. 61PCh. 1.3 - Prob. 62PCh. 1.3 - Prob. 63PCh. 1.3 - Prob. 64PCh. 1.3 - Prob. 65PCh. 1.3 - Prob. 66PCh. 1.3 - Prob. 67PCh. 1.3 - Prob. 68PCh. 1.3 - Prob. 69PCh. 1.3 - Prob. 70PCh. 1.3 - Prob. 71PCh. 1.3 - Prob. 72PCh. 1.3 - Prob. 1TFCh. 1.3 - Prob. 2TFCh. 1.3 - Prob. 3TFCh. 1.3 - Prob. 4TFCh. 1.4 - Prob. 1TBCh. 1.4 - Prob. 2TBCh. 1.4 - Prob. 0CCh. 1.4 - Prob. 1CCh. 1.4 - Prob. 2CCh. 1.4 - Prob. 3CCh. 1.4 - Prob. 4CCh. 1.4 - Prob. 5CCh. 1.4 - Prob. 6CCh. 1.4 - Prob. 7CCh. 1.4 - Prob. 8CCh. 1.4 - Prob. 9CCh. 1.4 - Prob. 10CCh. 1.4 - Prob. 11CCh. 1.4 - Prob. 12CCh. 1.4 - Prob. 13CCh. 1.4 - Prob. 14CCh. 1.4 - Prob. 15CCh. 1.4 - Prob. 16CCh. 1.4 - Prob. 17CCh. 1.4 - Prob. 18CCh. 1.4 - Prob. 19CCh. 1.4 - Prob. 20CCh. 1.4 - Prob. 21CCh. 1.4 - Prob. 22CCh. 1.4 - Prob. 23SCh. 1.4 - Prob. 24SCh. 1.4 - Prob. 25SCh. 1.4 - Prob. 26SCh. 1.4 - Prob. 27SCh. 1.4 - Prob. 28SCh. 1.4 - Prob. 29SCh. 1.4 - Prob. 30SCh. 1.4 - Prob. 31SCh. 1.4 - Prob. 32SCh. 1.4 - Prob. 33SCh. 1.4 - Prob. 34SCh. 1.4 - Prob. 35SCh. 1.4 - Prob. 36SCh. 1.4 - Prob. 37SCh. 1.4 - Prob. 38SCh. 1.4 - Prob. 39SCh. 1.4 - Prob. 40SCh. 1.4 - Prob. 41SCh. 1.4 - Prob. 42SCh. 1.4 - Prob. 43SCh. 1.4 - Prob. 44SCh. 1.4 - Prob. 45SCh. 1.4 - Prob. 46SCh. 1.4 - Prob. 47SCh. 1.4 - Prob. 48SCh. 1.4 - Prob. 49SCh. 1.4 - Prob. 50SCh. 1.4 - Prob. 51SCh. 1.4 - Prob. 52SCh. 1.4 - Prob. 53SCh. 1.4 - Prob. 54SCh. 1.4 - Prob. 55SCh. 1.4 - Prob. 56SCh. 1.4 - Prob. 57SCh. 1.4 - Prob. 58SCh. 1.4 - Prob. 59SCh. 1.4 - Prob. 60SCh. 1.4 - Prob. 61SCh. 1.4 - Prob. 62SCh. 1.4 - Prob. 63SCh. 1.4 - Prob. 64SCh. 1.4 - Prob. 65SCh. 1.4 - Prob. 66SCh. 1.4 - Prob. 67SCh. 1.4 - Prob. 68SCh. 1.4 - Prob. 69SCh. 1.4 - Prob. 70SCh. 1.4 - Prob. 71SCh. 1.4 - Prob. 72SCh. 1.4 - Prob. 73SCh. 1.4 - Prob. 74SCh. 1.4 - Prob. 75ACh. 1.4 - Prob. 76ACh. 1.4 - Prob. 77ACh. 1.4 - Prob. 78ACh. 1.4 - Prob. 79ACh. 1.4 - Prob. 80ACh. 1.4 - Prob. 81PCh. 1.4 - Prob. 82PCh. 1.4 - Prob. 83PCh. 1.4 - Prob. 84PCh. 1.4 - Prob. 85PCh. 1.4 - Prob. 86PCh. 1.4 - Prob. 87PCh. 1.4 - Prob. 88PCh. 1.4 - Prob. 89PCh. 1.4 - Prob. 90PCh. 1.4 - Prob. 91PCh. 1.4 - Prob. 92PCh. 1.4 - Prob. 93PCh. 1.4 - Prob. 1TFCh. 1.4 - Prob. 2TFCh. 1.4 - Prob. 3TFCh. 1.4 - Prob. 4TFCh. 1.4 - Prob. 5TFCh. 1.5 - Prob. 1TBCh. 1.5 - Prob. 2TBCh. 1.5 - Prob. 0CCh. 1.5 - Prob. 1CCh. 1.5 - Prob. 2CCh. 1.5 - Prob. 3CCh. 1.5 - Prob. 4CCh. 1.5 - Prob. 5CCh. 1.5 - Prob. 6CCh. 1.5 - Prob. 7CCh. 1.5 - Prob. 8CCh. 1.5 - Prob. 9CCh. 1.5 - Prob. 10CCh. 1.5 - Prob. 11CCh. 1.5 - Prob. 12CCh. 1.5 - Prob. 13CCh. 1.5 - Prob. 14CCh. 1.5 - Prob. 15CCh. 1.5 - Prob. 16CCh. 1.5 - Prob. 17CCh. 1.5 - Prob. 18CCh. 1.5 - Prob. 19CCh. 1.5 - Prob. 20CCh. 1.5 - Prob. 21CCh. 1.5 - Prob. 22CCh. 1.5 - Prob. 23CCh. 1.5 - Prob. 24CCh. 1.5 - Prob. 25SCh. 1.5 - Prob. 26SCh. 1.5 - Prob. 27SCh. 1.5 - Prob. 28SCh. 1.5 - Prob. 29SCh. 1.5 - Prob. 30SCh. 1.5 - Prob. 31SCh. 1.5 - Prob. 32SCh. 1.5 - Prob. 33SCh. 1.5 - Prob. 34SCh. 1.5 - Prob. 35SCh. 1.5 - Prob. 36SCh. 1.5 - Prob. 37SCh. 1.5 - Prob. 38SCh. 1.5 - Prob. 39SCh. 1.5 - Prob. 40SCh. 1.5 - Prob. 41SCh. 1.5 - Prob. 42SCh. 1.5 - Prob. 43SCh. 1.5 - Prob. 44SCh. 1.5 - Prob. 45SCh. 1.5 - Prob. 46SCh. 1.5 - Prob. 47SCh. 1.5 - Prob. 48SCh. 1.5 - Prob. 49SCh. 1.5 - Prob. 50SCh. 1.5 - Prob. 51SCh. 1.5 - Prob. 52SCh. 1.5 - Prob. 53SCh. 1.5 - Prob. 54SCh. 1.5 - Prob. 55SCh. 1.5 - Prob. 56SCh. 1.5 - Prob. 57SCh. 1.5 - Prob. 58SCh. 1.5 - Prob. 59SCh. 1.5 - Prob. 60SCh. 1.5 - Prob. 61SCh. 1.5 - Prob. 62SCh. 1.5 - Prob. 63SCh. 1.5 - Prob. 64SCh. 1.5 - Prob. 65SCh. 1.5 - Prob. 66SCh. 1.5 - Prob. 67SCh. 1.5 - Prob. 68SCh. 1.5 - Prob. 69SCh. 1.5 - Prob. 70SCh. 1.5 - Prob. 71SCh. 1.5 - Prob. 72SCh. 1.5 - Prob. 73SCh. 1.5 - Prob. 74SCh. 1.5 - Prob. 75SCh. 1.5 - Prob. 76SCh. 1.5 - Prob. 77SCh. 1.5 - Prob. 78SCh. 1.5 - Prob. 79SCh. 1.5 - Prob. 80SCh. 1.5 - Prob. 81SCh. 1.5 - Prob. 82SCh. 1.5 - Prob. 83SCh. 1.5 - Prob. 84SCh. 1.5 - Prob. 85SCh. 1.5 - Prob. 86SCh. 1.5 - Prob. 87ACh. 1.5 - Prob. 88ACh. 1.5 - Prob. 89PCh. 1.5 - Prob. 90PCh. 1.5 - Prob. 91PCh. 1.5 - Prob. 92PCh. 1.5 - Prob. 93PCh. 1.5 - Prob. 94PCh. 1.5 - Prob. 95PCh. 1.5 - Prob. 96PCh. 1.5 - Prob. 97PCh. 1.5 - Prob. 98PCh. 1.5 - Prob. 99PCh. 1.5 - Prob. 100PCh. 1.5 - Prob. 1TFCh. 1.5 - Prob. 2TFCh. 1.5 - Prob. 3TFCh. 1.5 - Prob. 4TFCh. 1.5 - Prob. 5TFCh. 1.5 - Prob. 6TFCh. 1.5 - Prob. 7TFCh. 1.6 - Prob. 1TBCh. 1.6 - Prob. 2TBCh. 1.6 - Prob. 0CCh. 1.6 - Prob. 1CCh. 1.6 - Prob. 2CCh. 1.6 - Prob. 3CCh. 1.6 - Prob. 4CCh. 1.6 - Prob. 5CCh. 1.6 - Prob. 6CCh. 1.6 - Prob. 7CCh. 1.6 - Prob. 8CCh. 1.6 - Prob. 9CCh. 1.6 - Prob. 10CCh. 1.6 - Prob. 11CCh. 1.6 - Prob. 12CCh. 1.6 - Prob. 13CCh. 1.6 - Prob. 14CCh. 1.6 - Prob. 15CCh. 1.6 - Prob. 16CCh. 1.6 - Prob. 17CCh. 1.6 - Prob. 18CCh. 1.6 - Prob. 19CCh. 1.6 - Prob. 20CCh. 1.6 - Prob. 21CCh. 1.6 - Prob. 22CCh. 1.6 - Prob. 23SCh. 1.6 - Prob. 24SCh. 1.6 - Prob. 25SCh. 1.6 - Prob. 26SCh. 1.6 - Prob. 27SCh. 1.6 - Prob. 28SCh. 1.6 - Prob. 29SCh. 1.6 - Prob. 30SCh. 1.6 - Prob. 31SCh. 1.6 - Prob. 32SCh. 1.6 - Prob. 33SCh. 1.6 - Prob. 34SCh. 1.6 - Prob. 35SCh. 1.6 - Prob. 36SCh. 1.6 - Prob. 37SCh. 1.6 - Prob. 38SCh. 1.6 - Prob. 39SCh. 1.6 - Prob. 40SCh. 1.6 - Prob. 41SCh. 1.6 - Prob. 42SCh. 1.6 - Prob. 43SCh. 1.6 - Prob. 44SCh. 1.6 - Prob. 45SCh. 1.6 - Prob. 46SCh. 1.6 - Prob. 47SCh. 1.6 - Prob. 48SCh. 1.6 - Prob. 49SCh. 1.6 - Prob. 50SCh. 1.6 - Prob. 51SCh. 1.6 - Prob. 52SCh. 1.6 - Prob. 53SCh. 1.6 - Prob. 54SCh. 1.6 - Prob. 55SCh. 1.6 - Prob. 56SCh. 1.6 - Prob. 57SCh. 1.6 - Prob. 58SCh. 1.6 - Prob. 59SCh. 1.6 - Prob. 60SCh. 1.6 - Prob. 61SCh. 1.6 - Prob. 62SCh. 1.6 - Prob. 63SCh. 1.6 - Prob. 64SCh. 1.6 - Prob. 65SCh. 1.6 - Prob. 66SCh. 1.6 - Prob. 67SCh. 1.6 - Prob. 68SCh. 1.6 - Prob. 69SCh. 1.6 - Prob. 70SCh. 1.6 - Prob. 71SCh. 1.6 - Prob. 72SCh. 1.6 - Prob. 73SCh. 1.6 - Prob. 74SCh. 1.6 - Prob. 75SCh. 1.6 - Prob. 76SCh. 1.6 - Prob. 77SCh. 1.6 - Prob. 78SCh. 1.6 - Prob. 79SCh. 1.6 - Prob. 80SCh. 1.6 - Prob. 81ACh. 1.6 - Prob. 82ACh. 1.6 - Prob. 83ACh. 1.6 - Prob. 84ACh. 1.6 - Prob. 85PCh. 1.6 - Prob. 86PCh. 1.6 - Prob. 87PCh. 1.6 - Prob. 88PCh. 1.6 - Prob. 89PCh. 1.6 - 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Prob. 21LRIFCh. 1 - Prob. 22LRIFCh. 1 - Prob. 23LRIFCh. 1 - Prob. 24LRIFCh. 1 - Prob. 25LRIFCh. 1 - Prob. 26LRIFCh. 1 - Prob. 27LRIFCh. 1 - Prob. 28LRIFCh. 1 - Prob. 29LRIFCh. 1 - Prob. 30LRIFCh. 1 - Prob. 31LRIFCh. 1 - Prob. 32LRIFCh. 1 - Prob. 33LRIFCh. 1 - Prob. 34LRIFCh. 1 - Prob. 35LRIFCh. 1 - Prob. 36LRIFCh. 1 - Prob. 37LRIFCh. 1 - Prob. 38LRIFCh. 1 - Prob. 39LRIFCh. 1 - Prob. 40LRIFCh. 1 - Prob. 41LRIFCh. 1 - Prob. 42LRIFCh. 1 - Prob. 43LRIFCh. 1 - Prob. 44LRIFCh. 1 - Prob. 45LRIFCh. 1 - Prob. 46LRIFCh. 1 - Prob. 47LRIFCh. 1 - Prob. 48LRIFCh. 1 - Prob. 49LRIFCh. 1 - Prob. 50LRIFCh. 1 - Prob. 1SCCh. 1 - Prob. 2SCCh. 1 - Prob. 3SCCh. 1 - Prob. 4SCCh. 1 - Prob. 5SCCh. 1 - Prob. 6SCCh. 1 - Prob. 7SCCh. 1 - Prob. 8SCCh. 1 - Prob. 9SCCh. 1 - Prob. 10SCCh. 1 - Prob. 11SCCh. 1 - Prob. 12SCCh. 1 - Prob. 13SCCh. 1 - Prob. 14SCCh. 1 - Prob. 15SCCh. 1 - Prob. 16SCCh. 1 - Prob. 17SCCh. 1 - Prob. 18SCCh. 1 - Prob. 19SCCh. 1 - Prob. 20SCCh. 1 - Prob. 21SCCh. 1 - Prob. 22SCCh. 1 - Prob. 23SCCh. 1 - Prob. 24SCCh. 1 - Prob. 25SCCh. 1 - Prob. 26SCCh. 1 - Prob. 27SCCh. 1 - Prob. 28SCCh. 1 - Prob. 29SCCh. 1 - Prob. 30SCCh. 1 - Prob. 31SCCh. 1 - Prob. 32SCCh. 1 - Prob. ACPCh. 1 - Prob. BCPCh. 1 - Prob. CCPCh. 1 - Prob. DCP
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- 12. For the differential equation in the previous question, what is the correct form for a particularsolution?A. yp = Ae^t + Bt^2 B. yp = Ae^t + Bt^2 + Ct + DC. yp = Ate^t + Bt^2 D. yp = Ate^t + Bt^2 + Ct + D Previous differential equation y′′ − 4y′ + 3y = e^t + t^2arrow_forward16. The appropriate form for the particular solution yp(x) of y^(3) − y′′ − 2y′ = x^2 + e^2x isA. yp(x) = Ax^2 + Bx + C + De^2x B. yp(x) = Ax^3 + Bx^2 + Cx + Dxe^2xC. yp(x) = Ax^2 +Be^2x D. yp(x) = A+Be^2x +Ce^−x E. yp(x) = Ax^2 +Bx+C +(Dx+E)e^2xarrow_forwardDistance Between Two Ships Two ships leave the same port at noon. Ship A sails north at 17 mph, and ship B sails east at 11 mph. How fast is the distance between them changing at 1 p.m.? (Round your answer to one decimal place.) 20.3 X mph Need Help? Read It Watch It SUBMIT ANSWERarrow_forward
- practice problem please help!arrow_forwardFind the first and second derivatives of the function. f(u) = √7 3u − 3 f'(u) 2 (7-34) (½) f"(u) = 9 4(7-3u) 32 X Need Help? Read It Watch It SUBMIT ANSWERarrow_forward11. Consider the 2nd-order non-homogeneous differential equation y′′ − 4y′ + 3y = et + t2What is the complementary (or homogeneous) solution?A. yc = c1e^t + c2t^2 B. yc = c1e^−t + c2e^−3t C. yc = c1e^t + c2e^3t D. yc = c1e^t + c2e^−3tarrow_forward
- 5. A trial solution for the non-homogeneous equation y′′ + y′ − 2y = e^x isA. Ae^x B. Ae^x+ Be^−2x C. Ae^x + Be^−x D. Axe^x E. None of these.arrow_forward14. Write u = - sint-cost in the form u = C cos(t - a) with C > 0 and 0 ? PAUSE Z X C VI B N Marrow_forward19. If the method of undetermined coefficients is used, the form of a particular solution ofy^(4) − y = e^−t + 3 sin(t) isA. yp(t) = Ate^−t + B cos(t) + C sin(t)B. yp(t) = At^2e^−t + B cos(t) + C sin(t)C. yp(t) = Ate^−t + Bt cos(t) + Ct sin(t)D. yp(t) = At^2e^−t + Bt cos(t) + Ct sin(t)E. yp(t) = Ate^−t + Bt sin(t)arrow_forward
- 15. A spring-mass system is governed by the differential equation 2x′′ + 72x = 100 sin(3ωt) .For what value of ω will resonance occur?A. 3 B. 6√2 C. 2 D. 10 E. No valuearrow_forwardQuestion 3. A manufacturer has modeled its yearly production function P (the value of its entire production, in millions of dollars) as a Cobb-Douglas function P(L, K) = 1.47L0.65 0.35 where L is the number of labor hours (in thousands) and K is the invested capital (in millions of dollars). ӘР Ət (a) Express the rate of change of production 07-2 in time, in terms of the rate of change of the labor force and the rate of change of the capital in time. (b) Suppose that when L = 30 and K = 8, the labor force is decreasing at a rate of 2000 labor hours per year and capital is increasing at a rate of 500,000 per year. What is the rate of change of production per year?arrow_forward17. Consider a mass-spring system that satisfies 2y′′(t) + by′(t) + 50y(t) = 0.Which of the following is/are true?(i) If b = 0, the motion is critically damped with period π/5 .(ii) If b = 12, the motion is underdamped.(iii) If b = 40, the motion is overdamped.A. (ii) and (iii) only B. (ii) only C. (i) and (ii) only D. (i) and (iii) only E. Allarrow_forward
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