Calculus: Early Transcendentals
4th Edition
ISBN: 9781319050740
Author: Jon Rogawski, Colin Adams, Robert Franzosa
Publisher: W. H. Freeman
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Question
Chapter 3.4, Problem 36E
To determine
(a)
The average rate of change of the current I in a circuit with respect to the resistance R of the circuit for the interval from R = 8 ohms to R = 8.1 ohms when V = 12 Volts
To determine
(b)
The rate of change of the current I in a circuit with respect to the resistance R of the circuit when R = 8 ohms when V = 12 Volts
To determine
(c)
The rate of change of the resistance R of a circuit with respect to the current I flowing in the circuit when I = 1.5 A when V = 12 Volts
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Let I =
f(x) dx, where f is the function whose graph is shown.
4
2
y
f
X
1
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3
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R₂
M2
=
=
=
(b) Are these underestimates or overestimates of I?
O 42 is an underestimate.
O 42 is an overestimate.
◇ R2 is an underestimate.
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OM2 is an underestimate.
○ M2 is an overestimate.
(c) Use the graph to find T2.
T₂ =
Vector u has a magnitude of 23 and vector v has a magnitude of 83. The angle between the two vectors is 126 degrees.a) Draw a fully-labelled vector diagram showing the two vectors and the resultant vector when they are added together.b) Find the magnitude of the resultant vector.c) Find the direction of the resultant vector relative to vector u.
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Chapter 3 Solutions
Calculus: Early Transcendentals
Ch. 3.1 - Prob. 1PQCh. 3.1 - Prob. 2PQCh. 3.1 - Prob. 3PQCh. 3.1 - Prob. 4PQCh. 3.1 - Prob. 5PQCh. 3.1 - Prob. 6PQCh. 3.1 - Prob. 7PQCh. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3E
Ch. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10ECh. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Prob. 39ECh. 3.1 - Prob. 40ECh. 3.1 - Prob. 41ECh. 3.1 - Prob. 42ECh. 3.1 - Prob. 43ECh. 3.1 - Prob. 44ECh. 3.1 - Prob. 45ECh. 3.1 - Prob. 46ECh. 3.1 - Prob. 47ECh. 3.1 - Prob. 48ECh. 3.1 - Prob. 49ECh. 3.1 - Prob. 50ECh. 3.1 - Prob. 51ECh. 3.1 - Prob. 52ECh. 3.1 - Prob. 53ECh. 3.1 - Prob. 54ECh. 3.1 - Prob. 55ECh. 3.1 - Prob. 56ECh. 3.1 - 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Prob. 3ECh. 3.4 - Prob. 4ECh. 3.4 - Prob. 5ECh. 3.4 - Prob. 6ECh. 3.4 - Prob. 7ECh. 3.4 - Prob. 8ECh. 3.4 - Prob. 9ECh. 3.4 - Prob. 10ECh. 3.4 - Prob. 11ECh. 3.4 - Prob. 12ECh. 3.4 - Prob. 13ECh. 3.4 - Prob. 14ECh. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.4 - Prob. 17ECh. 3.4 - Prob. 18ECh. 3.4 - Prob. 19ECh. 3.4 - Prob. 20ECh. 3.4 - Prob. 21ECh. 3.4 - Prob. 22ECh. 3.4 - Prob. 23ECh. 3.4 - Prob. 24ECh. 3.4 - Prob. 25ECh. 3.4 - Prob. 26ECh. 3.4 - Prob. 27ECh. 3.4 - Prob. 28ECh. 3.4 - Prob. 29ECh. 3.4 - Prob. 30ECh. 3.4 - Prob. 31ECh. 3.4 - Prob. 32ECh. 3.4 - Prob. 33ECh. 3.4 - Prob. 34ECh. 3.4 - Prob. 35ECh. 3.4 - Prob. 36ECh. 3.4 - Prob. 37ECh. 3.4 - Prob. 38ECh. 3.4 - Prob. 39ECh. 3.4 - Prob. 40ECh. 3.4 - Prob. 41ECh. 3.4 - Prob. 42ECh. 3.4 - Prob. 43ECh. 3.4 - Prob. 44ECh. 3.4 - Prob. 45ECh. 3.4 - Prob. 46ECh. 3.4 - Prob. 47ECh. 3.4 - Prob. 48ECh. 3.4 - Prob. 49ECh. 3.4 - Prob. 50ECh. 3.4 - Prob. 51ECh. 3.5 - Prob. 1PQCh. 3.5 - Prob. 2PQCh. 3.5 - Prob. 3PQCh. 3.5 - Prob. 4PQCh. 3.5 - Prob. 5PQCh. 3.5 - Prob. 6PQCh. 3.5 - Prob. 7PQCh. 3.5 - Prob. 1ECh. 3.5 - Prob. 2ECh. 3.5 - Prob. 3ECh. 3.5 - Prob. 4ECh. 3.5 - Prob. 5ECh. 3.5 - Prob. 6ECh. 3.5 - Prob. 7ECh. 3.5 - Prob. 8ECh. 3.5 - Prob. 9ECh. 3.5 - Prob. 10ECh. 3.5 - Prob. 11ECh. 3.5 - Prob. 12ECh. 3.5 - Prob. 13ECh. 3.5 - Prob. 14ECh. 3.5 - Prob. 15ECh. 3.5 - Prob. 16ECh. 3.5 - Prob. 17ECh. 3.5 - Prob. 18ECh. 3.5 - Prob. 19ECh. 3.5 - Prob. 20ECh. 3.5 - Prob. 21ECh. 3.5 - Prob. 22ECh. 3.5 - Prob. 23ECh. 3.5 - Prob. 24ECh. 3.5 - Prob. 25ECh. 3.5 - Prob. 26ECh. 3.5 - Prob. 27ECh. 3.5 - Prob. 28ECh. 3.5 - Prob. 29ECh. 3.5 - Prob. 30ECh. 3.5 - Prob. 31ECh. 3.5 - Prob. 32ECh. 3.5 - Prob. 33ECh. 3.5 - Prob. 34ECh. 3.5 - Prob. 35ECh. 3.5 - Prob. 36ECh. 3.5 - Prob. 37ECh. 3.5 - Prob. 38ECh. 3.5 - Prob. 39ECh. 3.5 - Prob. 40ECh. 3.5 - Prob. 41ECh. 3.5 - Prob. 42ECh. 3.5 - Prob. 43ECh. 3.5 - Prob. 44ECh. 3.5 - Prob. 45ECh. 3.5 - Prob. 46ECh. 3.5 - Prob. 47ECh. 3.5 - Prob. 48ECh. 3.5 - Prob. 49ECh. 3.5 - Prob. 50ECh. 3.5 - Prob. 51ECh. 3.5 - Prob. 52ECh. 3.5 - Prob. 53ECh. 3.5 - Prob. 54ECh. 3.6 - Prob. 1PQCh. 3.6 - Prob. 2PQCh. 3.6 - Prob. 3PQCh. 3.6 - Prob. 4PQCh. 3.6 - Prob. 1ECh. 3.6 - Prob. 2ECh. 3.6 - Prob. 3ECh. 3.6 - Prob. 4ECh. 3.6 - Prob. 5ECh. 3.6 - Prob. 6ECh. 3.6 - Prob. 7ECh. 3.6 - Prob. 8ECh. 3.6 - Prob. 9ECh. 3.6 - Prob. 10ECh. 3.6 - Prob. 11ECh. 3.6 - Prob. 12ECh. 3.6 - Prob. 13ECh. 3.6 - Prob. 14ECh. 3.6 - Prob. 15ECh. 3.6 - Prob. 16ECh. 3.6 - Prob. 17ECh. 3.6 - Prob. 18ECh. 3.6 - Prob. 19ECh. 3.6 - Prob. 20ECh. 3.6 - Prob. 21ECh. 3.6 - Prob. 22ECh. 3.6 - Prob. 23ECh. 3.6 - Prob. 24ECh. 3.6 - Prob. 25ECh. 3.6 - Prob. 26ECh. 3.6 - Prob. 27ECh. 3.6 - Prob. 28ECh. 3.6 - Prob. 29ECh. 3.6 - Prob. 30ECh. 3.6 - Prob. 31ECh. 3.6 - Prob. 32ECh. 3.6 - Prob. 33ECh. 3.6 - Prob. 34ECh. 3.6 - Prob. 35ECh. 3.6 - Prob. 36ECh. 3.6 - Prob. 37ECh. 3.6 - Prob. 38ECh. 3.6 - Prob. 39ECh. 3.6 - Prob. 40ECh. 3.6 - Prob. 41ECh. 3.6 - Prob. 42ECh. 3.6 - Prob. 43ECh. 3.6 - Prob. 44ECh. 3.6 - Prob. 45ECh. 3.6 - Prob. 46ECh. 3.6 - Prob. 47ECh. 3.6 - Prob. 48ECh. 3.6 - Prob. 49ECh. 3.6 - Prob. 50ECh. 3.6 - Prob. 51ECh. 3.6 - Prob. 52ECh. 3.6 - Prob. 53ECh. 3.6 - Prob. 54ECh. 3.6 - Prob. 55ECh. 3.6 - Prob. 56ECh. 3.6 - Prob. 57ECh. 3.6 - Prob. 58ECh. 3.6 - Prob. 59ECh. 3.6 - Prob. 60ECh. 3.6 - Prob. 61ECh. 3.6 - Prob. 62ECh. 3.7 - Prob. 1PQCh. 3.7 - Prob. 2PQCh. 3.7 - Prob. 3PQCh. 3.7 - Prob. 4PQCh. 3.7 - Prob. 1ECh. 3.7 - Prob. 2ECh. 3.7 - Prob. 3ECh. 3.7 - Prob. 4ECh. 3.7 - Prob. 5ECh. 3.7 - Prob. 6ECh. 3.7 - Prob. 7ECh. 3.7 - Prob. 8ECh. 3.7 - Prob. 9ECh. 3.7 - Prob. 10ECh. 3.7 - Prob. 11ECh. 3.7 - Prob. 12ECh. 3.7 - Prob. 13ECh. 3.7 - Prob. 14ECh. 3.7 - Prob. 15ECh. 3.7 - Prob. 16ECh. 3.7 - Prob. 17ECh. 3.7 - Prob. 18ECh. 3.7 - Prob. 19ECh. 3.7 - Prob. 20ECh. 3.7 - Prob. 21ECh. 3.7 - Prob. 22ECh. 3.7 - Prob. 23ECh. 3.7 - Prob. 24ECh. 3.7 - Prob. 25ECh. 3.7 - Prob. 26ECh. 3.7 - Prob. 27ECh. 3.7 - Prob. 28ECh. 3.7 - Prob. 29ECh. 3.7 - Prob. 30ECh. 3.7 - Prob. 31ECh. 3.7 - Prob. 32ECh. 3.7 - Prob. 33ECh. 3.7 - Prob. 34ECh. 3.7 - Prob. 35ECh. 3.7 - 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Prob. 77ECh. 3.8 - Prob. 78ECh. 3.8 - Prob. 79ECh. 3.8 - Prob. 80ECh. 3.8 - Prob. 81ECh. 3.8 - Prob. 82ECh. 3.8 - Prob. 83ECh. 3.8 - Prob. 84ECh. 3.8 - Prob. 85ECh. 3.8 - Prob. 86ECh. 3.8 - Prob. 87ECh. 3.8 - Prob. 88ECh. 3.8 - Prob. 89ECh. 3.8 - Prob. 90ECh. 3.8 - Prob. 91ECh. 3.8 - Prob. 92ECh. 3.8 - Prob. 93ECh. 3.9 - Prob. 1PQCh. 3.9 - Prob. 2PQCh. 3.9 - Prob. 3PQCh. 3.9 - Prob. 4PQCh. 3.9 - Prob. 5PQCh. 3.9 - Prob. 1ECh. 3.9 - Prob. 2ECh. 3.9 - Prob. 3ECh. 3.9 - Prob. 4ECh. 3.9 - Prob. 5ECh. 3.9 - Prob. 6ECh. 3.9 - Prob. 7ECh. 3.9 - Prob. 8ECh. 3.9 - Prob. 9ECh. 3.9 - Prob. 10ECh. 3.9 - Prob. 11ECh. 3.9 - Prob. 12ECh. 3.9 - Prob. 13ECh. 3.9 - Prob. 14ECh. 3.9 - Prob. 15ECh. 3.9 - Prob. 16ECh. 3.9 - Prob. 17ECh. 3.9 - Prob. 18ECh. 3.9 - Prob. 19ECh. 3.9 - Prob. 20ECh. 3.9 - Prob. 21ECh. 3.9 - Prob. 22ECh. 3.9 - Prob. 23ECh. 3.9 - Prob. 24ECh. 3.9 - Prob. 25ECh. 3.9 - Prob. 26ECh. 3.9 - Prob. 27ECh. 3.9 - Prob. 28ECh. 3.9 - Prob. 29ECh. 3.9 - Prob. 30ECh. 3.9 - Prob. 31ECh. 3.9 - Prob. 32ECh. 3.9 - Prob. 33ECh. 3.9 - Prob. 34ECh. 3.9 - Prob. 35ECh. 3.9 - Prob. 36ECh. 3.9 - Prob. 37ECh. 3.9 - Prob. 38ECh. 3.9 - Prob. 39ECh. 3.9 - Prob. 40ECh. 3.9 - Prob. 41ECh. 3.9 - Prob. 42ECh. 3.9 - Prob. 43ECh. 3.9 - Prob. 44ECh. 3.9 - Prob. 45ECh. 3.9 - Prob. 46ECh. 3.9 - Prob. 47ECh. 3.9 - Prob. 48ECh. 3.9 - Prob. 49ECh. 3.9 - Prob. 50ECh. 3.9 - Prob. 51ECh. 3.9 - Prob. 52ECh. 3.9 - Prob. 53ECh. 3.9 - Prob. 54ECh. 3.9 - Prob. 55ECh. 3.9 - Prob. 56ECh. 3.9 - Prob. 57ECh. 3.9 - Prob. 58ECh. 3.9 - Prob. 59ECh. 3.9 - Prob. 60ECh. 3.9 - Prob. 61ECh. 3.9 - Prob. 62ECh. 3.9 - Prob. 63ECh. 3.9 - Prob. 64ECh. 3.9 - Prob. 65ECh. 3.9 - Prob. 66ECh. 3.9 - Prob. 67ECh. 3.9 - Prob. 68ECh. 3.9 - Prob. 69ECh. 3.9 - Prob. 70ECh. 3.9 - Prob. 71ECh. 3.9 - Prob. 72ECh. 3.9 - Prob. 73ECh. 3.9 - Prob. 74ECh. 3.9 - Prob. 75ECh. 3.9 - Prob. 76ECh. 3.9 - Prob. 77ECh. 3.9 - Prob. 78ECh. 3.9 - Prob. 79ECh. 3.9 - Prob. 80ECh. 3.9 - Prob. 81ECh. 3.9 - Prob. 82ECh. 3.9 - Prob. 83ECh. 3.9 - Prob. 84ECh. 3.9 - Prob. 85ECh. 3.9 - Prob. 86ECh. 3.9 - Prob. 87ECh. 3.9 - Prob. 88ECh. 3.10 - Prob. 1PQCh. 3.10 - Prob. 2PQCh. 3.10 - Prob. 3PQCh. 3.10 - Prob. 4PQCh. 3.10 - Prob. 5PQCh. 3.10 - Prob. 6PQCh. 3.10 - Prob. 1ECh. 3.10 - Prob. 2ECh. 3.10 - Prob. 3ECh. 3.10 - Prob. 4ECh. 3.10 - Prob. 5ECh. 3.10 - Prob. 6ECh. 3.10 - Prob. 7ECh. 3.10 - Prob. 8ECh. 3.10 - Prob. 9ECh. 3.10 - Prob. 10ECh. 3.10 - Prob. 11ECh. 3.10 - Prob. 12ECh. 3.10 - Prob. 13ECh. 3.10 - Prob. 14ECh. 3.10 - Prob. 15ECh. 3.10 - Prob. 16ECh. 3.10 - Prob. 17ECh. 3.10 - Prob. 18ECh. 3.10 - Prob. 19ECh. 3.10 - Prob. 20ECh. 3.10 - Prob. 21ECh. 3.10 - Prob. 22ECh. 3.10 - Prob. 23ECh. 3.10 - Prob. 24ECh. 3.10 - Prob. 25ECh. 3.10 - Prob. 26ECh. 3.10 - Prob. 27ECh. 3.10 - Prob. 28ECh. 3.10 - Prob. 29ECh. 3.10 - Prob. 30ECh. 3.10 - Prob. 31ECh. 3.10 - Prob. 32ECh. 3.10 - Prob. 33ECh. 3.10 - Prob. 34ECh. 3.10 - Prob. 35ECh. 3.10 - Prob. 36ECh. 3.10 - Prob. 37ECh. 3.10 - Prob. 38ECh. 3.10 - Prob. 39ECh. 3.10 - Prob. 40ECh. 3.10 - Prob. 41ECh. 3.10 - Prob. 42ECh. 3.10 - Prob. 43ECh. 3.10 - Prob. 44ECh. 3.10 - Prob. 45ECh. 3 - Prob. 1CRECh. 3 - Prob. 2CRECh. 3 - Prob. 3CRECh. 3 - Prob. 4CRECh. 3 - Prob. 5CRECh. 3 - Prob. 6CRECh. 3 - Prob. 7CRECh. 3 - Prob. 8CRECh. 3 - Prob. 9CRECh. 3 - Prob. 10CRECh. 3 - Prob. 11CRECh. 3 - Prob. 12CRECh. 3 - Prob. 13CRECh. 3 - Prob. 14CRECh. 3 - Prob. 15CRECh. 3 - Prob. 16CRECh. 3 - Prob. 17CRECh. 3 - Prob. 18CRECh. 3 - Prob. 19CRECh. 3 - Prob. 20CRECh. 3 - Prob. 21CRECh. 3 - Prob. 22CRECh. 3 - Prob. 23CRECh. 3 - Prob. 24CRECh. 3 - Prob. 25CRECh. 3 - Prob. 26CRECh. 3 - Prob. 27CRECh. 3 - Prob. 28CRECh. 3 - Prob. 29CRECh. 3 - Prob. 30CRECh. 3 - Prob. 31CRECh. 3 - Prob. 32CRECh. 3 - Prob. 33CRECh. 3 - Prob. 34CRECh. 3 - Prob. 35CRECh. 3 - Prob. 36CRECh. 3 - Prob. 37CRECh. 3 - Prob. 38CRECh. 3 - Prob. 39CRECh. 3 - Prob. 40CRECh. 3 - Prob. 41CRECh. 3 - Prob. 42CRECh. 3 - Prob. 43CRECh. 3 - Prob. 44CRECh. 3 - Prob. 45CRECh. 3 - Prob. 46CRECh. 3 - Prob. 47CRECh. 3 - Prob. 48CRECh. 3 - Prob. 49CRECh. 3 - Prob. 50CRECh. 3 - Prob. 51CRECh. 3 - Prob. 52CRECh. 3 - Prob. 53CRECh. 3 - Prob. 54CRECh. 3 - Prob. 55CRECh. 3 - Prob. 56CRECh. 3 - Prob. 57CRECh. 3 - Prob. 58CRECh. 3 - Prob. 59CRECh. 3 - Prob. 60CRECh. 3 - Prob. 61CRECh. 3 - Prob. 62CRECh. 3 - Prob. 63CRECh. 3 - Prob. 64CRECh. 3 - Prob. 65CRECh. 3 - Prob. 66CRECh. 3 - Prob. 67CRECh. 3 - Prob. 68CRECh. 3 - Prob. 69CRECh. 3 - Prob. 70CRECh. 3 - Prob. 71CRECh. 3 - Prob. 72CRECh. 3 - Prob. 73CRECh. 3 - Prob. 74CRECh. 3 - Prob. 75CRECh. 3 - Prob. 76CRECh. 3 - Prob. 77CRECh. 3 - Prob. 78CRECh. 3 - Prob. 79CRECh. 3 - Prob. 80CRECh. 3 - Prob. 81CRECh. 3 - Prob. 82CRECh. 3 - Prob. 83CRECh. 3 - Prob. 84CRECh. 3 - Prob. 85CRECh. 3 - Prob. 86CRECh. 3 - Prob. 87CRECh. 3 - Prob. 88CRECh. 3 - Prob. 89CRECh. 3 - Prob. 90CRECh. 3 - Prob. 91CRECh. 3 - Prob. 92CRECh. 3 - Prob. 93CRECh. 3 - Prob. 94CRECh. 3 - Prob. 95CRECh. 3 - Prob. 96CRECh. 3 - Prob. 97CRECh. 3 - Prob. 98CRECh. 3 - Prob. 99CRECh. 3 - Prob. 100CRECh. 3 - Prob. 101CRECh. 3 - Prob. 102CRECh. 3 - Prob. 103CRECh. 3 - Prob. 104CRECh. 3 - Prob. 105CRECh. 3 - Prob. 106CRECh. 3 - Prob. 107CRECh. 3 - Prob. 108CRECh. 3 - Prob. 109CRECh. 3 - Prob. 110CRECh. 3 - Prob. 111CRECh. 3 - Prob. 112CRECh. 3 - Prob. 113CRECh. 3 - Prob. 114CRECh. 3 - Prob. 115CRECh. 3 - Prob. 116CRECh. 3 - Prob. 117CRECh. 3 - Prob. 118CRECh. 3 - Prob. 119CRECh. 3 - Prob. 120CRE
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- 16. Solve each of the following equations for x. (a) 42x+1 = 64 (b) 27-3815 (c) 92. 27² = 3-1 (d) log x + log(x - 21) = 2 (e) 3 = 14 (f) 2x+1 = 51-2xarrow_forward11. Find the composition fog and gof for the following functions. 2 (a) f(x) = 2x+5, g(x) = x² 2 (b) f(x) = x²+x, g(x) = √√x 1 (c) f(x) = -1/2) 9 9(x) = х = - Xarrow_forwardpractice problem please help!arrow_forward
- 13. A restaurant will serve a banquet at a cost of $20 per person for the first 50 people and $15 for person for each additional person. (a) Find a function C giving the cost of the banquet depending on the number of people p attending. (b) How many people can attend the banquet for $2000?arrow_forwardAlt Fn Ctrl 12. Find functions f and g such that h(x) = (fog)(x). (a) h(x) = (x² + 2)² x+1 (b) h(x) = 5 3arrow_forward15. Find the exact value. (a) log4 16 (b) log7 1 49 (c) logs 3/25arrow_forward
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