CALCULUS (CLOTH)
4th Edition
ISBN: 9781319050733
Author: Rogawski
Publisher: MAC HIGHER
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Chapter 13.3, Problem 39E
To determine
Simplify the expression.
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r>0
(r, 0) =
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74. Geometry of implicit differentiation Suppose x and y are related
0. Interpret the solution of this equa-
by the equation F(x, y)
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tion as the set of points (x, y) that lie on the intersection of the
F(x, y) with the xy-plane (z = 0).
surface
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dy
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F
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b. Explain geometrically what happens at points where F = 0.
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Example 3.2. Solve the following boundary value problem by ADM
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method
with the boundary conditions
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w(x, 0) = x² - 3x,
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Chapter 13 Solutions
CALCULUS (CLOTH)
Ch. 13.1 - Prob. 1PQCh. 13.1 - Prob. 2PQCh. 13.1 - Prob. 3PQCh. 13.1 - Prob. 4PQCh. 13.1 - Prob. 5PQCh. 13.1 - Prob. 6PQCh. 13.1 - Prob. 1ECh. 13.1 - Prob. 2ECh. 13.1 - Prob. 3ECh. 13.1 - Prob. 4E
Ch. 13.1 - Prob. 5ECh. 13.1 - Prob. 6ECh. 13.1 - Prob. 7ECh. 13.1 - Prob. 8ECh. 13.1 - Prob. 9ECh. 13.1 - Prob. 10ECh. 13.1 - Prob. 11ECh. 13.1 - Prob. 12ECh. 13.1 - Prob. 13ECh. 13.1 - Prob. 14ECh. 13.1 - Prob. 15ECh. 13.1 - Prob. 16ECh. 13.1 - Prob. 17ECh. 13.1 - Prob. 18ECh. 13.1 - Prob. 19ECh. 13.1 - Prob. 20ECh. 13.1 - Prob. 21ECh. 13.1 - Prob. 22ECh. 13.1 - Prob. 23ECh. 13.1 - Prob. 24ECh. 13.1 - Prob. 25ECh. 13.1 - Prob. 26ECh. 13.1 - Prob. 27ECh. 13.1 - Prob. 28ECh. 13.1 - Prob. 29ECh. 13.1 - Prob. 30ECh. 13.1 - Prob. 31ECh. 13.1 - Prob. 32ECh. 13.1 - Prob. 33ECh. 13.1 - Prob. 34ECh. 13.1 - Prob. 35ECh. 13.1 - Prob. 36ECh. 13.1 - Prob. 37ECh. 13.1 - Prob. 38ECh. 13.1 - Prob. 39ECh. 13.1 - Prob. 40ECh. 13.1 - Prob. 41ECh. 13.1 - Prob. 42ECh. 13.1 - Prob. 43ECh. 13.1 - Prob. 44ECh. 13.1 - Prob. 45ECh. 13.1 - Prob. 46ECh. 13.1 - Prob. 47ECh. 13.1 - Prob. 48ECh. 13.1 - Prob. 49ECh. 13.1 - Prob. 50ECh. 13.1 - Prob. 51ECh. 13.1 - Prob. 52ECh. 13.1 - Prob. 53ECh. 13.1 - Prob. 54ECh. 13.1 - Prob. 55ECh. 13.1 - Prob. 56ECh. 13.1 - Prob. 57ECh. 13.1 - Prob. 58ECh. 13.1 - Prob. 59ECh. 13.1 - Prob. 60ECh. 13.1 - Prob. 61ECh. 13.1 - Prob. 62ECh. 13.1 - Prob. 63ECh. 13.1 - Prob. 64ECh. 13.1 - Prob. 65ECh. 13.1 - Prob. 66ECh. 13.1 - Prob. 67ECh. 13.1 - Prob. 68ECh. 13.1 - Prob. 69ECh. 13.1 - Prob. 70ECh. 13.1 - Prob. 71ECh. 13.1 - Prob. 72ECh. 13.1 - Prob. 73ECh. 13.1 - Prob. 74ECh. 13.1 - Prob. 75ECh. 13.2 - Prob. 1PQCh. 13.2 - Prob. 2PQCh. 13.2 - Prob. 3PQCh. 13.2 - Prob. 4PQCh. 13.2 - Prob. 5PQCh. 13.2 - Prob. 6PQCh. 13.2 - Prob. 7PQCh. 13.2 - Prob. 8PQCh. 13.2 - Prob. 1ECh. 13.2 - Prob. 2ECh. 13.2 - Prob. 3ECh. 13.2 - Prob. 4ECh. 13.2 - Prob. 5ECh. 13.2 - Prob. 6ECh. 13.2 - Prob. 7ECh. 13.2 - Prob. 8ECh. 13.2 - Prob. 9ECh. 13.2 - Prob. 10ECh. 13.2 - Prob. 11ECh. 13.2 - Prob. 12ECh. 13.2 - Prob. 13ECh. 13.2 - Prob. 14ECh. 13.2 - Prob. 15ECh. 13.2 - Prob. 16ECh. 13.2 - Prob. 17ECh. 13.2 - Prob. 18ECh. 13.2 - Prob. 19ECh. 13.2 - Prob. 20ECh. 13.2 - Prob. 21ECh. 13.2 - Prob. 22ECh. 13.2 - Prob. 23ECh. 13.2 - Prob. 24ECh. 13.2 - Prob. 25ECh. 13.2 - Prob. 26ECh. 13.2 - Prob. 27ECh. 13.2 - Prob. 28ECh. 13.2 - Prob. 29ECh. 13.2 - Prob. 30ECh. 13.2 - Prob. 31ECh. 13.2 - Prob. 32ECh. 13.2 - Prob. 33ECh. 13.2 - Prob. 34ECh. 13.2 - Prob. 35ECh. 13.2 - Prob. 36ECh. 13.2 - Prob. 37ECh. 13.2 - Prob. 38ECh. 13.2 - Prob. 39ECh. 13.2 - Prob. 40ECh. 13.2 - Prob. 41ECh. 13.2 - Prob. 42ECh. 13.2 - Prob. 43ECh. 13.2 - Prob. 44ECh. 13.2 - Prob. 45ECh. 13.2 - Prob. 46ECh. 13.2 - Prob. 47ECh. 13.2 - Prob. 48ECh. 13.2 - Prob. 49ECh. 13.2 - Prob. 50ECh. 13.2 - Prob. 51ECh. 13.2 - Prob. 52ECh. 13.2 - Prob. 53ECh. 13.2 - Prob. 54ECh. 13.2 - Prob. 55ECh. 13.2 - Prob. 56ECh. 13.2 - Prob. 57ECh. 13.2 - Prob. 58ECh. 13.2 - Prob. 59ECh. 13.2 - Prob. 60ECh. 13.2 - Prob. 61ECh. 13.2 - Prob. 62ECh. 13.2 - Prob. 63ECh. 13.2 - Prob. 64ECh. 13.2 - Prob. 65ECh. 13.2 - Prob. 66ECh. 13.2 - Prob. 67ECh. 13.2 - Prob. 68ECh. 13.2 - Prob. 69ECh. 13.2 - Prob. 70ECh. 13.2 - Prob. 71ECh. 13.2 - Prob. 72ECh. 13.2 - Prob. 73ECh. 13.2 - Prob. 74ECh. 13.2 - Prob. 75ECh. 13.2 - Prob. 76ECh. 13.2 - Prob. 77ECh. 13.2 - Prob. 78ECh. 13.2 - Prob. 79ECh. 13.2 - Prob. 80ECh. 13.3 - Prob. 1PQCh. 13.3 - Prob. 2PQCh. 13.3 - Prob. 3PQCh. 13.3 - Prob. 4PQCh. 13.3 - Prob. 5PQCh. 13.3 - Prob. 6PQCh. 13.3 - Prob. 1ECh. 13.3 - Prob. 2ECh. 13.3 - Prob. 3ECh. 13.3 - Prob. 4ECh. 13.3 - Prob. 5ECh. 13.3 - Prob. 6ECh. 13.3 - Prob. 7ECh. 13.3 - Prob. 8ECh. 13.3 - Prob. 9ECh. 13.3 - Prob. 10ECh. 13.3 - Prob. 11ECh. 13.3 - Prob. 12ECh. 13.3 - Prob. 13ECh. 13.3 - Prob. 14ECh. 13.3 - Prob. 15ECh. 13.3 - Prob. 16ECh. 13.3 - Prob. 17ECh. 13.3 - Prob. 18ECh. 13.3 - Prob. 19ECh. 13.3 - Prob. 20ECh. 13.3 - Prob. 21ECh. 13.3 - Prob. 22ECh. 13.3 - Prob. 23ECh. 13.3 - Prob. 24ECh. 13.3 - Prob. 25ECh. 13.3 - Prob. 26ECh. 13.3 - Prob. 27ECh. 13.3 - Prob. 28ECh. 13.3 - Prob. 29ECh. 13.3 - Prob. 30ECh. 13.3 - Prob. 31ECh. 13.3 - Prob. 32ECh. 13.3 - Prob. 33ECh. 13.3 - Prob. 34ECh. 13.3 - Prob. 35ECh. 13.3 - Prob. 36ECh. 13.3 - Prob. 37ECh. 13.3 - Prob. 38ECh. 13.3 - Prob. 39ECh. 13.3 - Prob. 40ECh. 13.3 - Prob. 41ECh. 13.3 - Prob. 42ECh. 13.3 - Prob. 43ECh. 13.3 - Prob. 44ECh. 13.3 - Prob. 45ECh. 13.3 - Prob. 46ECh. 13.3 - Prob. 47ECh. 13.3 - Prob. 48ECh. 13.3 - Prob. 49ECh. 13.3 - Prob. 50ECh. 13.3 - Prob. 51ECh. 13.3 - Prob. 52ECh. 13.3 - Prob. 53ECh. 13.3 - Prob. 54ECh. 13.3 - Prob. 55ECh. 13.3 - Prob. 56ECh. 13.3 - Prob. 57ECh. 13.3 - Prob. 58ECh. 13.3 - Prob. 59ECh. 13.3 - Prob. 60ECh. 13.3 - Prob. 61ECh. 13.3 - Prob. 62ECh. 13.3 - Prob. 63ECh. 13.3 - Prob. 64ECh. 13.3 - Prob. 65ECh. 13.3 - Prob. 66ECh. 13.3 - Prob. 67ECh. 13.3 - Prob. 68ECh. 13.3 - Prob. 69ECh. 13.3 - Prob. 70ECh. 13.3 - Prob. 71ECh. 13.3 - Prob. 72ECh. 13.3 - Prob. 73ECh. 13.3 - Prob. 74ECh. 13.3 - Prob. 75ECh. 13.3 - Prob. 76ECh. 13.3 - Prob. 77ECh. 13.3 - Prob. 78ECh. 13.3 - Prob. 79ECh. 13.3 - Prob. 80ECh. 13.3 - Prob. 81ECh. 13.3 - Prob. 82ECh. 13.3 - Prob. 83ECh. 13.3 - Prob. 84ECh. 13.3 - Prob. 85ECh. 13.3 - Prob. 86ECh. 13.3 - Prob. 87ECh. 13.3 - Prob. 88ECh. 13.3 - Prob. 89ECh. 13.3 - Prob. 90ECh. 13.3 - Prob. 91ECh. 13.3 - Prob. 92ECh. 13.3 - Prob. 93ECh. 13.3 - Prob. 94ECh. 13.3 - Prob. 95ECh. 13.3 - Prob. 96ECh. 13.3 - Prob. 97ECh. 13.3 - Prob. 98ECh. 13.3 - Prob. 99ECh. 13.3 - Prob. 100ECh. 13.3 - Prob. 101ECh. 13.3 - Prob. 102ECh. 13.3 - Prob. 103ECh. 13.3 - Prob. 104ECh. 13.3 - Prob. 105ECh. 13.4 - Prob. 1PQCh. 13.4 - Prob. 2PQCh. 13.4 - Prob. 3PQCh. 13.4 - Prob. 4PQCh. 13.4 - Prob. 5PQCh. 13.4 - Prob. 6PQCh. 13.4 - Prob. 7PQCh. 13.4 - Prob. 8PQCh. 13.4 - Prob. 1ECh. 13.4 - Prob. 2ECh. 13.4 - Prob. 3ECh. 13.4 - Prob. 4ECh. 13.4 - Prob. 5ECh. 13.4 - Prob. 6ECh. 13.4 - Prob. 7ECh. 13.4 - Prob. 8ECh. 13.4 - Prob. 9ECh. 13.4 - Prob. 10ECh. 13.4 - Prob. 11ECh. 13.4 - Prob. 12ECh. 13.4 - Prob. 13ECh. 13.4 - Prob. 14ECh. 13.4 - Prob. 15ECh. 13.4 - Prob. 16ECh. 13.4 - Prob. 17ECh. 13.4 - Prob. 18ECh. 13.4 - Prob. 19ECh. 13.4 - Prob. 20ECh. 13.4 - Prob. 21ECh. 13.4 - Prob. 22ECh. 13.4 - Prob. 23ECh. 13.4 - Prob. 24ECh. 13.4 - Prob. 25ECh. 13.4 - Prob. 26ECh. 13.4 - Prob. 27ECh. 13.4 - Prob. 28ECh. 13.4 - Prob. 29ECh. 13.4 - Prob. 30ECh. 13.4 - Prob. 31ECh. 13.4 - Prob. 32ECh. 13.4 - Prob. 33ECh. 13.4 - Prob. 34ECh. 13.4 - Prob. 35ECh. 13.4 - Prob. 36ECh. 13.4 - Prob. 37ECh. 13.4 - Prob. 38ECh. 13.4 - Prob. 39ECh. 13.4 - Prob. 40ECh. 13.4 - Prob. 41ECh. 13.4 - Prob. 42ECh. 13.4 - Prob. 43ECh. 13.4 - Prob. 44ECh. 13.4 - Prob. 45ECh. 13.4 - Prob. 46ECh. 13.4 - Prob. 47ECh. 13.4 - Prob. 48ECh. 13.4 - Prob. 49ECh. 13.4 - Prob. 50ECh. 13.4 - Prob. 51ECh. 13.4 - Prob. 52ECh. 13.4 - Prob. 53ECh. 13.4 - Prob. 54ECh. 13.4 - Prob. 55ECh. 13.4 - Prob. 56ECh. 13.4 - Prob. 57ECh. 13.4 - Prob. 58ECh. 13.4 - Prob. 59ECh. 13.4 - Prob. 60ECh. 13.4 - Prob. 61ECh. 13.4 - Prob. 62ECh. 13.4 - Prob. 63ECh. 13.4 - Prob. 64ECh. 13.4 - Prob. 65ECh. 13.4 - Prob. 66ECh. 13.4 - Prob. 67ECh. 13.4 - Prob. 68ECh. 13.4 - Prob. 69ECh. 13.4 - Prob. 70ECh. 13.4 - Prob. 71ECh. 13.4 - Prob. 72ECh. 13.4 - Prob. 73ECh. 13.4 - Prob. 74ECh. 13.4 - Prob. 75ECh. 13.4 - Prob. 76ECh. 13.4 - Prob. 77ECh. 13.4 - Prob. 78ECh. 13.4 - Prob. 79ECh. 13.4 - Prob. 80ECh. 13.4 - Prob. 81ECh. 13.4 - Prob. 82ECh. 13.4 - Prob. 83ECh. 13.5 - Prob. 1PQCh. 13.5 - Prob. 2PQCh. 13.5 - Prob. 3PQCh. 13.5 - Prob. 4PQCh. 13.5 - Prob. 5PQCh. 13.5 - Prob. 6PQCh. 13.5 - Prob. 1ECh. 13.5 - Prob. 2ECh. 13.5 - Prob. 3ECh. 13.5 - Prob. 4ECh. 13.5 - Prob. 5ECh. 13.5 - Prob. 6ECh. 13.5 - Prob. 7ECh. 13.5 - Prob. 8ECh. 13.5 - Prob. 9ECh. 13.5 - Prob. 10ECh. 13.5 - Prob. 11ECh. 13.5 - Prob. 12ECh. 13.5 - Prob. 13ECh. 13.5 - Prob. 14ECh. 13.5 - Prob. 15ECh. 13.5 - Prob. 16ECh. 13.5 - Prob. 17ECh. 13.5 - Prob. 18ECh. 13.5 - Prob. 19ECh. 13.5 - Prob. 20ECh. 13.5 - Prob. 21ECh. 13.5 - Prob. 22ECh. 13.5 - Prob. 23ECh. 13.5 - Prob. 24ECh. 13.5 - Prob. 25ECh. 13.5 - Prob. 26ECh. 13.5 - Prob. 27ECh. 13.5 - Prob. 28ECh. 13.5 - Prob. 29ECh. 13.5 - Prob. 30ECh. 13.5 - Prob. 31ECh. 13.5 - Prob. 32ECh. 13.5 - Prob. 33ECh. 13.5 - Prob. 34ECh. 13.5 - Prob. 35ECh. 13.5 - Prob. 36ECh. 13.5 - Prob. 37ECh. 13.5 - Prob. 38ECh. 13.5 - Prob. 39ECh. 13.5 - Prob. 40ECh. 13.5 - Prob. 41ECh. 13.5 - Prob. 42ECh. 13.5 - Prob. 43ECh. 13.5 - Prob. 44ECh. 13.5 - Prob. 45ECh. 13.5 - Prob. 46ECh. 13.5 - Prob. 47ECh. 13.5 - Prob. 48ECh. 13.5 - Prob. 49ECh. 13.5 - Prob. 50ECh. 13.5 - Prob. 51ECh. 13.5 - Prob. 52ECh. 13.5 - Prob. 53ECh. 13.5 - Prob. 54ECh. 13.5 - Prob. 55ECh. 13.5 - Prob. 56ECh. 13.5 - Prob. 57ECh. 13.5 - Prob. 58ECh. 13.5 - Prob. 59ECh. 13.5 - Prob. 60ECh. 13.5 - Prob. 61ECh. 13.5 - Prob. 62ECh. 13.5 - Prob. 63ECh. 13.5 - Prob. 64ECh. 13.5 - Prob. 65ECh. 13.5 - Prob. 66ECh. 13.5 - Prob. 67ECh. 13.5 - Prob. 68ECh. 13.5 - Prob. 69ECh. 13.5 - Prob. 70ECh. 13.5 - Prob. 71ECh. 13.5 - Prob. 72ECh. 13.5 - Prob. 73ECh. 13.5 - Prob. 74ECh. 13.5 - Prob. 75ECh. 13.5 - Prob. 76ECh. 13.5 - Prob. 77ECh. 13.5 - Prob. 78ECh. 13.5 - Prob. 79ECh. 13.5 - Prob. 80ECh. 13.6 - Prob. 1PQCh. 13.6 - Prob. 2PQCh. 13.6 - Prob. 3PQCh. 13.6 - Prob. 4PQCh. 13.6 - Prob. 5PQCh. 13.6 - Prob. 6PQCh. 13.6 - Prob. 1ECh. 13.6 - Prob. 2ECh. 13.6 - Prob. 3ECh. 13.6 - Prob. 4ECh. 13.6 - Prob. 5ECh. 13.6 - Prob. 6ECh. 13.6 - Prob. 7ECh. 13.6 - Prob. 8ECh. 13.6 - Prob. 9ECh. 13.6 - Prob. 10ECh. 13.6 - Prob. 11ECh. 13.6 - Prob. 12ECh. 13.6 - Prob. 13ECh. 13.6 - Prob. 14ECh. 13.6 - Prob. 15ECh. 13.6 - Prob. 16ECh. 13.6 - Prob. 17ECh. 13.6 - Prob. 18ECh. 13.6 - Prob. 19ECh. 13.6 - Prob. 20ECh. 13.6 - Prob. 21ECh. 13.6 - Prob. 22ECh. 13.6 - Prob. 23ECh. 13.6 - Prob. 24ECh. 13.6 - Prob. 25ECh. 13.6 - Prob. 26ECh. 13.6 - Prob. 27ECh. 13.6 - Prob. 28ECh. 13.6 - Prob. 29ECh. 13.6 - Prob. 30ECh. 13.6 - Prob. 31ECh. 13.6 - Prob. 32ECh. 13.6 - Prob. 33ECh. 13.6 - Prob. 34ECh. 13.6 - Prob. 35ECh. 13.6 - Prob. 36ECh. 13.6 - Prob. 37ECh. 13.6 - Prob. 38ECh. 13.6 - Prob. 39ECh. 13.6 - Prob. 40ECh. 13.6 - Prob. 41ECh. 13.6 - Prob. 42ECh. 13.6 - Prob. 43ECh. 13.6 - Prob. 44ECh. 13.6 - Prob. 45ECh. 13.6 - Prob. 46ECh. 13.6 - Prob. 47ECh. 13.6 - Prob. 48ECh. 13.6 - Prob. 49ECh. 13.6 - Prob. 50ECh. 13.6 - Prob. 51ECh. 13.6 - Prob. 52ECh. 13.6 - Prob. 53ECh. 13.7 - Prob. 1PQCh. 13.7 - Prob. 2PQCh. 13.7 - Prob. 3PQCh. 13.7 - Prob. 4PQCh. 13.7 - Prob. 5PQCh. 13.7 - Prob. 1ECh. 13.7 - Prob. 2ECh. 13.7 - Prob. 3ECh. 13.7 - Prob. 4ECh. 13.7 - Prob. 5ECh. 13.7 - Prob. 6ECh. 13.7 - Prob. 7ECh. 13.7 - Prob. 8ECh. 13.7 - Prob. 9ECh. 13.7 - Prob. 10ECh. 13.7 - Prob. 11ECh. 13.7 - Prob. 12ECh. 13.7 - Prob. 13ECh. 13.7 - Prob. 14ECh. 13.7 - Prob. 15ECh. 13.7 - Prob. 16ECh. 13.7 - Prob. 17ECh. 13.7 - Prob. 18ECh. 13.7 - Prob. 19ECh. 13.7 - Prob. 20ECh. 13.7 - Prob. 21ECh. 13.7 - Prob. 22ECh. 13.7 - Prob. 23ECh. 13.7 - Prob. 24ECh. 13.7 - Prob. 25ECh. 13.7 - Prob. 26ECh. 13.7 - Prob. 27ECh. 13.7 - Prob. 28ECh. 13.7 - Prob. 29ECh. 13.7 - Prob. 30ECh. 13.7 - Prob. 31ECh. 13.7 - Prob. 32ECh. 13.7 - Prob. 33ECh. 13.7 - Prob. 34ECh. 13.7 - Prob. 35ECh. 13.7 - Prob. 36ECh. 13.7 - Prob. 37ECh. 13.7 - Prob. 38ECh. 13.7 - Prob. 39ECh. 13.7 - Prob. 40ECh. 13.7 - Prob. 41ECh. 13.7 - Prob. 42ECh. 13.7 - Prob. 43ECh. 13.7 - Prob. 44ECh. 13.7 - Prob. 45ECh. 13.7 - Prob. 46ECh. 13.7 - Prob. 47ECh. 13.7 - Prob. 48ECh. 13.7 - Prob. 49ECh. 13.7 - Prob. 50ECh. 13.7 - Prob. 51ECh. 13.7 - Prob. 52ECh. 13.7 - Prob. 53ECh. 13.7 - Prob. 54ECh. 13.7 - Prob. 55ECh. 13.7 - Prob. 56ECh. 13.7 - Prob. 57ECh. 13.7 - Prob. 58ECh. 13.7 - Prob. 59ECh. 13.7 - Prob. 60ECh. 13.7 - Prob. 61ECh. 13.7 - Prob. 62ECh. 13.7 - Prob. 63ECh. 13.7 - Prob. 64ECh. 13.7 - Prob. 65ECh. 13.7 - Prob. 66ECh. 13.7 - Prob. 67ECh. 13.7 - Prob. 68ECh. 13.7 - Prob. 69ECh. 13.7 - Prob. 70ECh. 13.7 - Prob. 71ECh. 13.7 - Prob. 72ECh. 13.7 - Prob. 73ECh. 13.7 - Prob. 74ECh. 13.7 - Prob. 75ECh. 13.7 - Prob. 76ECh. 13.7 - Prob. 77ECh. 13.7 - Prob. 78ECh. 13.7 - Prob. 79ECh. 13.7 - Prob. 80ECh. 13.7 - Prob. 81ECh. 13.7 - Prob. 82ECh. 13.7 - Prob. 83ECh. 13.7 - Prob. 84ECh. 13.7 - Prob. 85ECh. 13.7 - Prob. 86ECh. 13.7 - Prob. 87ECh. 13.7 - Prob. 88ECh. 13.7 - Prob. 89ECh. 13.7 - Prob. 90ECh. 13 - Prob. 1CRECh. 13 - Prob. 2CRECh. 13 - Prob. 3CRECh. 13 - Prob. 4CRECh. 13 - Prob. 5CRECh. 13 - Prob. 6CRECh. 13 - Prob. 7CRECh. 13 - Prob. 8CRECh. 13 - Prob. 9CRECh. 13 - Prob. 10CRECh. 13 - Prob. 11CRECh. 13 - Prob. 12CRECh. 13 - Prob. 13CRECh. 13 - Prob. 14CRECh. 13 - Prob. 15CRECh. 13 - Prob. 16CRECh. 13 - Prob. 17CRECh. 13 - Prob. 18CRECh. 13 - Prob. 19CRECh. 13 - Prob. 20CRECh. 13 - Prob. 21CRECh. 13 - Prob. 22CRECh. 13 - Prob. 23CRECh. 13 - Prob. 24CRECh. 13 - Prob. 25CRECh. 13 - Prob. 26CRECh. 13 - Prob. 27CRECh. 13 - Prob. 28CRECh. 13 - Prob. 29CRECh. 13 - Prob. 30CRECh. 13 - Prob. 31CRECh. 13 - Prob. 32CRECh. 13 - Prob. 33CRECh. 13 - Prob. 34CRECh. 13 - Prob. 35CRECh. 13 - Prob. 36CRECh. 13 - Prob. 37CRECh. 13 - Prob. 38CRECh. 13 - Prob. 39CRECh. 13 - Prob. 40CRECh. 13 - Prob. 41CRECh. 13 - Prob. 42CRECh. 13 - Prob. 43CRECh. 13 - Prob. 44CRECh. 13 - Prob. 45CRECh. 13 - Prob. 46CRECh. 13 - Prob. 47CRECh. 13 - Prob. 48CRECh. 13 - Prob. 49CRECh. 13 - Prob. 50CRECh. 13 - Prob. 51CRECh. 13 - Prob. 52CRECh. 13 - Prob. 53CRECh. 13 - Prob. 54CRECh. 13 - Prob. 55CRECh. 13 - Prob. 56CRECh. 13 - Prob. 57CRECh. 13 - Prob. 58CRECh. 13 - Prob. 59CRECh. 13 - Prob. 60CRECh. 13 - Prob. 61CRECh. 13 - Prob. 62CRECh. 13 - Prob. 63CRECh. 13 - Prob. 64CRECh. 13 - Prob. 65CRECh. 13 - Prob. 66CRECh. 13 - Prob. 67CRECh. 13 - Prob. 68CRECh. 13 - Prob. 69CRECh. 13 - Prob. 70CRECh. 13 - Prob. 71CRE
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- 6. A particle moves according to a law of motion s(t) = t3-12t2 + 36t, where t is measured in seconds and s is in feet. (a) What is the velocity at time t? (b) What is the velocity after 3 s? (c) When is the particle at rest? (d) When is the particle moving in the positive direction? (e) What is the acceleration at time t? (f) What is the acceleration after 3 s?arrow_forwardConstruct a table and find the indicated limit. √√x+2 If h(x) = then find lim h(x). X-8 X-8 Complete the table below. X 7.9 h(x) 7.99 7.999 8.001 8.01 8.1 (Type integers or decimals rounded to four decimal places as needed.)arrow_forwardUse the graph to find the following limits. (a) lim f(x) (b) lim f(x) X-1 x→1 (a) Find lim f(x) or state that it does not exist. Select the correct choice X-1 below and, if necessary, fill in the answer box within your choice. OA. lim f(x) = X-1 (Round to the nearest integer as needed.) OB. The limit does not exist. Qarrow_forward
- Officials in a certain region tend to raise the sales tax in years in which the state faces a budget deficit and then cut the tax when the state has a surplus. The graph shows the region's sales tax in recent years. Let T(x) represent the sales tax per dollar spent in year x. Find the desired limits and values, if they exist. Note that '01 represents 2001. Complete parts (a) through (e). Tax (in cents) T(X)4 8.5 8- OA. lim T(x)= cent(s) X-2007 (Type an integer or a decimal.) OB. The limit does not exist and is neither ∞ nor - ∞. Garrow_forwardDecide from the graph whether each limit exists. If a limit exists, estimate its value. (a) lim F(x) X➡-7 (b) lim F(x) X-2 (a) What is the value of the limit? Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. lim F(x) = X-7 (Round to the nearest integer as needed.) OB. The limit does not exist. 17 Garrow_forwardFin lir X- a= (Us -10 OT Af(x) -10- 10arrow_forward
- Find all values x = a where the function is discontinuous. For each value of x, give the limit of the function as x approaches a. Be sure to note when the limit doesn't exist. f(x)=4x²+7x+1 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. (Use a comma to separate answers as needed.) OA. f is discontinuous at the single value x = B. f is discontinuous at the single value x = OC. f is discontinuous at the two values x = OD. fis discontinuous at the two values x = OE. f is discontinuous at the two values x = The limit is The limit does not exist and is not co or - oo. The limit for the smaller value is The limit for the larger value is The limit for both values do not exist and are not co or - co. The limit for the smaller value does not exist and is not oo or - co. The limit for the larger value isarrow_forwardFind all values x = a where the function is discontinuous. For each value of x, give the limit of the function as x approaches a. Be sure to note when the limit doesn't exist. 8+x f(x) = x(x-1) (Use a comma to separate answers as needed.) OA. The function f is discontinuous at the single value x = OB. The function f is discontinuous at the single value x = OC. The function f is discontinuous at the two values x = OD. The function f is discontinuous at the two values x = not oo or -0. OE. The function f is discontinuous at the two values x = The limit is The limit does not exist and is not oo or - co. The limits for both values do not exist and are not co or - co. The limit for the smaller value is The limit for the larger value does not exist and is The limit for the smaller value does not exist and is not co or - co. The limit for the largerarrow_forwardi need help please . and please dont use chat gpt i am trying to learn and see the mistake i did when solving minearrow_forward
- i need help please . and please dont use chat gpt i am trying to learn and see the mistake i did when solving minearrow_forwardThe radius of a sphere decreases at a rate of 3 m/s. Find the rate at which the surface area decreases when the radius is 8 m. Answer exactly or round to 2 decimal places. The surface area decreases at a rate of m²/sarrow_forwardi need help pleasearrow_forward
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