Precalculus
11th Edition
ISBN: 9780135189405
Author: Michael Sullivan
Publisher: PEARSON
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Concept explainers
Question
Chapter A.9, Problem 11AYU
To determine
The correct choice from the following that will not change the direction, or sense, of an inequality.
Dividing both sides by a negative number
Interchanging sides
Taking the reciprocal of both sides
Subtracting a positive number from both sides
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Students have asked these similar questions
An open-top rectangular box is being constructed to hold a volume of 150 in³. The base of the box is made
from a material costing 7 cents/in². The front of the box must be decorated, and will cost 11 cents/in².
The remainder of the sides will cost 3 cents/in².
Find the dimensions that will minimize the cost of constructing this box. Please show your answers to at
least 4 decimal places.
Front width:
Depth:
in.
in.
Height:
in.
Find and classify the critical points of z = (x² – 8x) (y² – 6y).
Local maximums:
Local minimums:
Saddle points:
-
For each classification, enter a list of ordered pairs (x, y) where the max/min/saddle occurs. Enter DNE if
there are no points for a classification.
Suppose that f(x, y, z) = (x − 2)² + (y – 2)² + (z − 2)² with 0 < x, y, z and x+y+z≤ 10.
1. The critical point of f(x, y, z) is at (a, b, c). Then
a =
b =
C =
2. Absolute minimum of f(x, y, z) is
and the absolute maximum is
Chapter A Solutions
Precalculus
Ch. A.1 - Prob. 1AYUCh. A.1 - Prob. 2AYUCh. A.1 - Prob. 3AYUCh. A.1 - Prob. 4AYUCh. A.1 - Prob. 5AYUCh. A.1 - Prob. 6AYUCh. A.1 - Prob. 7AYUCh. A.1 - Prob. 8AYUCh. A.1 - Prob. 9AYUCh. A.1 - Prob. 10AYU
Ch. A.1 - Prob. 11AYUCh. A.1 - Prob. 12AYUCh. A.1 - Prob. 13AYUCh. A.1 - Prob. 14AYUCh. A.1 - Prob. 15AYUCh. A.1 - Prob. 16AYUCh. A.1 - Prob. 17AYUCh. A.1 - Prob. 18AYUCh. A.1 - Prob. 19AYUCh. A.1 - Prob. 20AYUCh. A.1 - Prob. 21AYUCh. A.1 - Prob. 22AYUCh. A.1 - Prob. 23AYUCh. A.1 - Prob. 24AYUCh. A.1 - Prob. 25AYUCh. A.1 - Prob. 26AYUCh. A.1 - Prob. 27AYUCh. A.1 - Prob. 28AYUCh. A.1 - Prob. 29AYUCh. A.1 - Prob. 30AYUCh. A.1 - Prob. 31AYUCh. A.1 - Prob. 32AYUCh. A.1 - Prob. 33AYUCh. A.1 - Prob. 34AYUCh. A.1 - Prob. 35AYUCh. A.1 - Prob. 36AYUCh. A.1 - Prob. 37AYUCh. A.1 - Prob. 38AYUCh. A.1 - Prob. 39AYUCh. A.1 - Prob. 40AYUCh. A.1 - Prob. 41AYUCh. A.1 - Prob. 42AYUCh. A.1 - Prob. 43AYUCh. A.1 - Prob. 44AYUCh. A.1 - Prob. 45AYUCh. A.1 - Prob. 46AYUCh. A.1 - Prob. 47AYUCh. A.1 - Prob. 48AYUCh. A.1 - Prob. 49AYUCh. A.1 - Prob. 50AYUCh. A.1 - Prob. 51AYUCh. A.1 - Prob. 52AYUCh. A.1 - Prob. 53AYUCh. A.1 - Prob. 54AYUCh. A.1 - Prob. 55AYUCh. A.1 - Prob. 56AYUCh. A.1 - Prob. 57AYUCh. A.1 - Prob. 58AYUCh. A.1 - Prob. 59AYUCh. A.1 - Prob. 60AYUCh. A.1 - Prob. 61AYUCh. A.1 - Prob. 62AYUCh. A.1 - Prob. 63AYUCh. A.1 - Prob. 64AYUCh. A.1 - Prob. 65AYUCh. A.1 - Prob. 66AYUCh. A.1 - Prob. 67AYUCh. A.1 - Prob. 68AYUCh. A.1 - Prob. 69AYUCh. A.1 - Prob. 70AYUCh. A.1 - Prob. 71AYUCh. A.1 - Prob. 72AYUCh. A.1 - Prob. 73AYUCh. A.1 - Prob. 74AYUCh. A.1 - Prob. 75AYUCh. A.1 - Prob. 76AYUCh. A.1 - Prob. 77AYUCh. A.1 - Prob. 78AYUCh. A.1 - Prob. 79AYUCh. A.1 - Prob. 80AYUCh. A.1 - Prob. 81AYUCh. A.1 - Prob. 82AYUCh. A.1 - Prob. 83AYUCh. A.1 - Prob. 84AYUCh. A.1 - Prob. 85AYUCh. A.1 - Prob. 86AYUCh. A.1 - Prob. 87AYUCh. A.1 - Prob. 88AYUCh. A.1 - Prob. 89AYUCh. A.1 - Prob. 90AYUCh. A.1 - Prob. 91AYUCh. A.1 - Prob. 92AYUCh. A.1 - Prob. 93AYUCh. A.1 - Prob. 94AYUCh. A.1 - Prob. 95AYUCh. A.1 - Prob. 96AYUCh. A.1 - Prob. 97AYUCh. A.1 - Prob. 98AYUCh. A.1 - Prob. 99AYUCh. A.1 - Prob. 100AYUCh. A.1 - Prob. 101AYUCh. A.1 - Prob. 102AYUCh. A.1 - Prob. 103AYUCh. A.1 - Prob. 104AYUCh. A.1 - Prob. 105AYUCh. A.1 - Prob. 106AYUCh. A.1 - Prob. 107AYUCh. A.1 - Prob. 108AYUCh. A.1 - Prob. 109AYUCh. A.1 - Prob. 110AYUCh. A.1 - Prob. 111AYUCh. A.1 - Prob. 112AYUCh. A.1 - Prob. 113AYUCh. A.1 - Prob. 114AYUCh. A.1 - Prob. 115AYUCh. A.1 - Prob. 116AYUCh. A.1 - Prob. 117AYUCh. A.1 - Prob. 118AYUCh. A.1 - Prob. 119AYUCh. A.1 - Prob. 120AYUCh. A.1 - Prob. 121AYUCh. A.1 - Prob. 122AYUCh. A.1 - Prob. 123AYUCh. A.1 - Prob. 124AYUCh. A.1 - Prob. 125AYUCh. A.1 - Prob. 126AYUCh. A.1 - Prob. 127AYUCh. A.1 - Prob. 128AYUCh. A.1 - Prob. 129AYUCh. A.1 - Prob. 130AYUCh. A.1 - Prob. 131AYUCh. A.1 - Prob. 132AYUCh. A.1 - Prob. 133AYUCh. A.1 - Prob. 134AYUCh. A.1 - Prob. 135AYUCh. A.1 - Prob. 136AYUCh. A.1 - Prob. 137AYUCh. A.1 - Prob. 138AYUCh. A.1 - Prob. 139AYUCh. A.1 - Prob. 140AYUCh. A.1 - Prob. 141AYUCh. A.1 - Prob. 142AYUCh. A.1 - Prob. 143AYUCh. A.1 - Prob. 144AYUCh. A.1 - Prob. 145AYUCh. A.1 - Prob. 146AYUCh. A.1 - Prob. 147AYUCh. A.1 - Prob. 148AYUCh. A.1 - Prob. 149AYUCh. A.1 - Prob. 150AYUCh. A.1 - Prob. 151AYUCh. A.1 - Prob. 152AYUCh. A.1 - Prob. 153AYUCh. A.1 - Prob. 154AYUCh. A.2 - Prob. 1AYUCh. A.2 - Prob. 2AYUCh. A.2 - Prob. 3AYUCh. A.2 - Prob. 4AYUCh. A.2 - Prob. 5AYUCh. A.2 - Prob. 6AYUCh. A.2 - Prob. 7AYUCh. A.2 - Prob. 8AYUCh. A.2 - Prob. 9AYUCh. A.2 - Prob. 10AYUCh. A.2 - Prob. 11AYUCh. A.2 - Prob. 12AYUCh. A.2 - Prob. 13AYUCh. A.2 - Prob. 14AYUCh. A.2 - Prob. 15AYUCh. A.2 - Prob. 16AYUCh. A.2 - Prob. 17AYUCh. A.2 - Prob. 18AYUCh. A.2 - Prob. 19AYUCh. A.2 - Prob. 20AYUCh. A.2 - Prob. 21AYUCh. A.2 - Prob. 22AYUCh. A.2 - Prob. 23AYUCh. A.2 - Prob. 24AYUCh. A.2 - Prob. 25AYUCh. A.2 - Prob. 26AYUCh. A.2 - Prob. 27AYUCh. A.2 - Prob. 28AYUCh. A.2 - Prob. 29AYUCh. A.2 - Prob. 30AYUCh. A.2 - Prob. 31AYUCh. A.2 - Prob. 32AYUCh. A.2 - Prob. 33AYUCh. A.2 - Prob. 34AYUCh. A.2 - Prob. 35AYUCh. A.2 - Prob. 36AYUCh. A.2 - Prob. 37AYUCh. A.2 - Prob. 38AYUCh. A.2 - Prob. 39AYUCh. A.2 - Prob. 40AYUCh. A.2 - Prob. 41AYUCh. A.2 - Prob. 42AYUCh. A.2 - Prob. 43AYUCh. A.2 - Prob. 44AYUCh. A.2 - Prob. 45AYUCh. A.2 - Prob. 46AYUCh. A.2 - Prob. 47AYUCh. A.2 - Prob. 48AYUCh. A.2 - Prob. 49AYUCh. A.2 - Prob. 50AYUCh. A.2 - Prob. 51AYUCh. A.2 - Prob. 52AYUCh. A.2 - Prob. 53AYUCh. A.2 - Prob. 54AYUCh. A.2 - Prob. 55AYUCh. A.2 - Prob. 56AYUCh. A.2 - Prob. 57AYUCh. A.2 - Prob. 58AYUCh. A.2 - Prob. 59AYUCh. A.2 - Prob. 60AYUCh. A.2 - Prob. 61AYUCh. A.2 - Prob. 62AYUCh. A.3 - Prob. 1AYUCh. A.3 - Prob. 2AYUCh. A.3 - Prob. 3AYUCh. A.3 - Prob. 4AYUCh. A.3 - Prob. 5AYUCh. A.3 - Prob. 6AYUCh. A.3 - Prob. 7AYUCh. A.3 - Prob. 8AYUCh. A.3 - Prob. 9AYUCh. A.3 - Prob. 10AYUCh. A.3 - Prob. 11AYUCh. A.3 - Prob. 12AYUCh. A.3 - Prob. 13AYUCh. A.3 - Prob. 14AYUCh. A.3 - Prob. 15AYUCh. A.3 - Prob. 16AYUCh. A.3 - Prob. 17AYUCh. A.3 - Prob. 18AYUCh. A.3 - Prob. 19AYUCh. A.3 - Prob. 20AYUCh. A.3 - Prob. 21AYUCh. A.3 - Prob. 22AYUCh. A.3 - Prob. 23AYUCh. A.3 - Prob. 24AYUCh. A.3 - Prob. 25AYUCh. A.3 - Prob. 26AYUCh. A.3 - Prob. 27AYUCh. A.3 - Prob. 28AYUCh. A.3 - Prob. 29AYUCh. A.3 - Prob. 30AYUCh. A.3 - Prob. 31AYUCh. A.3 - Prob. 32AYUCh. A.3 - Prob. 33AYUCh. A.3 - Prob. 34AYUCh. A.3 - Prob. 35AYUCh. A.3 - Prob. 36AYUCh. A.3 - Prob. 37AYUCh. A.3 - Prob. 38AYUCh. A.3 - Prob. 39AYUCh. A.3 - Prob. 40AYUCh. A.3 - Prob. 41AYUCh. A.3 - Prob. 42AYUCh. A.3 - Prob. 43AYUCh. A.3 - Prob. 44AYUCh. A.3 - Prob. 45AYUCh. A.3 - Prob. 46AYUCh. A.3 - Prob. 47AYUCh. A.3 - Prob. 48AYUCh. A.3 - Prob. 49AYUCh. A.3 - Prob. 50AYUCh. A.3 - Prob. 51AYUCh. A.3 - Prob. 52AYUCh. A.3 - Prob. 53AYUCh. A.3 - Prob. 54AYUCh. A.3 - Prob. 55AYUCh. A.3 - Prob. 56AYUCh. A.3 - Prob. 57AYUCh. A.3 - Prob. 58AYUCh. A.3 - Prob. 59AYUCh. A.3 - Prob. 60AYUCh. A.3 - Prob. 61AYUCh. A.3 - Prob. 62AYUCh. A.3 - Prob. 63AYUCh. A.3 - Prob. 64AYUCh. A.3 - Prob. 65AYUCh. A.3 - Prob. 66AYUCh. A.3 - Prob. 67AYUCh. A.3 - Prob. 68AYUCh. A.3 - Prob. 69AYUCh. A.3 - Prob. 70AYUCh. A.3 - Prob. 71AYUCh. A.3 - Prob. 72AYUCh. A.3 - Prob. 73AYUCh. A.3 - Prob. 74AYUCh. A.3 - Prob. 75AYUCh. A.3 - Prob. 76AYUCh. A.3 - Prob. 77AYUCh. A.3 - Prob. 78AYUCh. A.3 - Prob. 79AYUCh. A.3 - Prob. 80AYUCh. A.3 - Prob. 81AYUCh. A.3 - Prob. 82AYUCh. A.3 - Prob. 83AYUCh. A.3 - Prob. 84AYUCh. A.3 - Prob. 85AYUCh. A.3 - Prob. 86AYUCh. A.3 - Prob. 87AYUCh. A.3 - Prob. 88AYUCh. A.3 - Prob. 89AYUCh. A.3 - Prob. 90AYUCh. A.3 - Prob. 91AYUCh. A.3 - Prob. 92AYUCh. A.3 - Prob. 93AYUCh. A.3 - Prob. 94AYUCh. A.3 - Prob. 95AYUCh. A.3 - Prob. 96AYUCh. A.3 - Prob. 97AYUCh. A.3 - Prob. 98AYUCh. A.3 - Prob. 99AYUCh. A.3 - Prob. 100AYUCh. A.3 - Prob. 101AYUCh. A.3 - Prob. 102AYUCh. A.3 - Prob. 103AYUCh. A.3 - Prob. 104AYUCh. A.3 - Prob. 105AYUCh. A.3 - Prob. 106AYUCh. A.3 - Prob. 107AYUCh. A.3 - Prob. 108AYUCh. A.3 - Prob. 109AYUCh. A.3 - Prob. 110AYUCh. A.3 - Prob. 111AYUCh. A.3 - Prob. 112AYUCh. A.3 - Prob. 113AYUCh. A.3 - Prob. 114AYUCh. A.3 - Prob. 115AYUCh. A.3 - Prob. 116AYUCh. A.3 - Prob. 117AYUCh. A.3 - Prob. 118AYUCh. A.3 - Prob. 119AYUCh. A.3 - Prob. 120AYUCh. A.3 - Prob. 121AYUCh. A.3 - Prob. 122AYUCh. A.3 - Prob. 123AYUCh. A.3 - Prob. 124AYUCh. A.3 - Prob. 125AYUCh. A.3 - Prob. 126AYUCh. A.3 - Prob. 127AYUCh. A.3 - Prob. 128AYUCh. A.3 - Prob. 129AYUCh. A.3 - Prob. 130AYUCh. A.3 - Prob. 131AYUCh. A.3 - Prob. 132AYUCh. A.3 - Prob. 133AYUCh. A.3 - Prob. 134AYUCh. A.3 - Prob. 135AYUCh. A.3 - Prob. 136AYUCh. A.3 - Prob. 137AYUCh. A.3 - Prob. 138AYUCh. A.3 - Prob. 139AYUCh. A.3 - Prob. 140AYUCh. A.3 - Prob. 141AYUCh. A.3 - Prob. 142AYUCh. A.3 - Prob. 143AYUCh. A.3 - Prob. 144AYUCh. A.3 - Prob. 145AYUCh. A.3 - Prob. 146AYUCh. A.3 - Prob. 147AYUCh. A.3 - Prob. 148AYUCh. A.4 - Prob. 1AYUCh. A.4 - Prob. 2AYUCh. A.4 - Prob. 3AYUCh. A.4 - Prob. 4AYUCh. A.4 - Prob. 5AYUCh. A.4 - Prob. 6AYUCh. A.4 - Prob. 7AYUCh. A.4 - Prob. 8AYUCh. A.4 - Prob. 9AYUCh. A.4 - Prob. 10AYUCh. A.4 - Prob. 11AYUCh. A.4 - Prob. 12AYUCh. A.4 - Prob. 13AYUCh. A.4 - Prob. 14AYUCh. A.4 - Prob. 15AYUCh. A.4 - Prob. 16AYUCh. A.4 - Prob. 17AYUCh. A.4 - Prob. 18AYUCh. A.4 - Prob. 19AYUCh. A.4 - Prob. 20AYUCh. A.4 - Prob. 21AYUCh. A.4 - Prob. 22AYUCh. A.4 - Prob. 23AYUCh. A.4 - Prob. 24AYUCh. A.4 - Prob. 25AYUCh. A.4 - Prob. 26AYUCh. A.4 - Prob. 27AYUCh. A.4 - Prob. 28AYUCh. A.4 - Prob. 29AYUCh. A.4 - Prob. 30AYUCh. A.5 - Prob. 1AYUCh. A.5 - Prob. 2AYUCh. A.5 - Prob. 3AYUCh. A.5 - Prob. 4AYUCh. A.5 - Prob. 5AYUCh. A.5 - Prob. 6AYUCh. A.5 - Prob. 7AYUCh. A.5 - Prob. 8AYUCh. A.5 - Prob. 9AYUCh. A.5 - Prob. 10AYUCh. A.5 - Prob. 11AYUCh. A.5 - Prob. 12AYUCh. A.5 - Prob. 13AYUCh. A.5 - Prob. 14AYUCh. A.5 - Prob. 15AYUCh. A.5 - Prob. 16AYUCh. A.5 - Prob. 17AYUCh. A.5 - Prob. 18AYUCh. A.5 - Prob. 19AYUCh. A.5 - Prob. 20AYUCh. A.5 - Prob. 21AYUCh. A.5 - Prob. 22AYUCh. A.5 - Prob. 23AYUCh. A.5 - Prob. 24AYUCh. A.5 - Prob. 25AYUCh. A.5 - Prob. 26AYUCh. A.5 - Prob. 27AYUCh. A.5 - Prob. 28AYUCh. A.5 - Prob. 29AYUCh. A.5 - Prob. 30AYUCh. A.5 - Prob. 31AYUCh. A.5 - Prob. 32AYUCh. A.5 - Prob. 33AYUCh. A.5 - Prob. 34AYUCh. A.5 - Prob. 35AYUCh. A.5 - Prob. 36AYUCh. A.5 - Prob. 37AYUCh. A.5 - Prob. 38AYUCh. A.5 - Prob. 39AYUCh. A.5 - Prob. 40AYUCh. A.5 - Prob. 41AYUCh. A.5 - Prob. 42AYUCh. A.5 - Prob. 43AYUCh. A.5 - Prob. 44AYUCh. A.5 - Prob. 45AYUCh. A.5 - Prob. 46AYUCh. A.5 - Prob. 47AYUCh. A.5 - Prob. 48AYUCh. A.5 - Prob. 49AYUCh. A.6 - Factor:
Ch. A.6 - Prob. 2AYUCh. A.6 - Prob. 3AYUCh. A.6 - Prob. 4AYUCh. A.6 - Prob. 5AYUCh. A.6 - Prob. 6AYUCh. A.6 - Prob. 7AYUCh. A.6 - To solve the equation by completing the square,...Ch. A.6 - Prob. 9AYUCh. A.6 - Prob. 10AYUCh. A.6 - Prob. 11AYUCh. A.6 - Prob. 12AYUCh. A.6 - Prob. 13AYUCh. A.6 - Prob. 14AYUCh. A.6 - Prob. 15AYUCh. A.6 - Prob. 16AYUCh. A.6 - Prob. 17AYUCh. A.6 - Prob. 18AYUCh. A.6 - Prob. 19AYUCh. A.6 - Prob. 20AYUCh. A.6 - Prob. 21AYUCh. A.6 - Prob. 22AYUCh. A.6 - Prob. 23AYUCh. A.6 - Prob. 24AYUCh. A.6 - Prob. 25AYUCh. A.6 - Prob. 26AYUCh. A.6 - Prob. 27AYUCh. A.6 - Prob. 28AYUCh. A.6 - Prob. 29AYUCh. A.6 - Prob. 30AYUCh. A.6 - Prob. 31AYUCh. A.6 - Prob. 32AYUCh. A.6 - Prob. 33AYUCh. A.6 - Prob. 34AYUCh. A.6 - Prob. 35AYUCh. A.6 - Prob. 36AYUCh. A.6 - Prob. 37AYUCh. A.6 - Prob. 38AYUCh. A.6 - Prob. 39AYUCh. A.6 - Prob. 40AYUCh. A.6 - Prob. 41AYUCh. A.6 - Prob. 42AYUCh. A.6 - Prob. 43AYUCh. A.6 - Prob. 44AYUCh. A.6 - In Problems , solve each equation.
Ch. A.6 - Prob. 46AYUCh. A.6 - Prob. 47AYUCh. A.6 - Prob. 48AYUCh. A.6 - Prob. 49AYUCh. A.6 - Prob. 50AYUCh. A.6 - Prob. 51AYUCh. A.6 - Prob. 52AYUCh. A.6 - Prob. 53AYUCh. A.6 - Prob. 54AYUCh. A.6 - Prob. 55AYUCh. A.6 - Prob. 56AYUCh. A.6 - Prob. 57AYUCh. A.6 - Prob. 58AYUCh. A.6 - Prob. 59AYUCh. A.6 - Prob. 60AYUCh. A.6 - Prob. 61AYUCh. A.6 - Prob. 62AYUCh. A.6 - Prob. 63AYUCh. A.6 - Prob. 64AYUCh. A.6 - Prob. 65AYUCh. A.6 - Prob. 66AYUCh. A.6 - Prob. 67AYUCh. A.6 - Prob. 68AYUCh. A.6 - Prob. 69AYUCh. A.6 - Prob. 70AYUCh. A.6 - Prob. 71AYUCh. A.6 - Prob. 72AYUCh. A.6 - Prob. 73AYUCh. A.6 - Prob. 74AYUCh. A.6 - Prob. 75AYUCh. A.6 - Prob. 76AYUCh. A.6 - Prob. 77AYUCh. A.6 - Prob. 78AYUCh. A.6 - Prob. 79AYUCh. A.6 - Prob. 80AYUCh. A.6 - Prob. 81AYUCh. A.6 - Prob. 82AYUCh. A.6 - Prob. 83AYUCh. A.6 - Prob. 84AYUCh. A.6 - Prob. 85AYUCh. A.6 - Prob. 86AYUCh. A.6 - Prob. 87AYUCh. A.6 - Prob. 88AYUCh. A.6 - Prob. 89AYUCh. A.6 - Prob. 90AYUCh. A.6 - Prob. 91AYUCh. A.6 - Prob. 92AYUCh. A.6 - Prob. 93AYUCh. A.6 - Prob. 94AYUCh. A.6 - Prob. 95AYUCh. A.6 - Prob. 96AYUCh. A.6 - Prob. 97AYUCh. A.6 - Prob. 98AYUCh. A.6 - Prob. 99AYUCh. A.6 - Prob. 100AYUCh. A.6 - Prob. 101AYUCh. A.6 - Prob. 102AYUCh. A.6 - Prob. 103AYUCh. A.6 - Prob. 104AYUCh. A.6 - Prob. 105AYUCh. A.6 - Prob. 106AYUCh. A.6 - Prob. 107AYUCh. A.6 - Prob. 108AYUCh. A.6 - Prob. 109AYUCh. A.6 - Prob. 110AYUCh. A.6 - Prob. 111AYUCh. A.6 - Prob. 112AYUCh. A.6 - Prob. 113AYUCh. A.6 - Prob. 114AYUCh. A.6 - Prob. 115AYUCh. A.6 - Prob. 116AYUCh. A.6 - Prob. 117AYUCh. A.6 - Prob. 118AYUCh. A.6 - Prob. 119AYUCh. A.6 - Prob. 120AYUCh. A.6 - Prob. 121AYUCh. A.6 - Prob. 122AYUCh. A.6 - Prob. 123AYUCh. A.6 - Prob. 124AYUCh. A.6 - Prob. 125AYUCh. A.6 - Prob. 126AYUCh. A.6 - Prob. 127AYUCh. A.6 - Prob. 128AYUCh. A.6 - Prob. 129AYUCh. A.6 - Prob. 130AYUCh. A.6 - Prob. 131AYUCh. A.6 - Prob. 132AYUCh. A.6 - Prob. 133AYUCh. A.6 - Prob. 134AYUCh. A.6 - Prob. 135AYUCh. A.7 - Prob. 1AYUCh. A.7 - Prob. 2AYUCh. A.7 - Prob. 3AYUCh. A.7 - Prob. 4AYUCh. A.7 - Prob. 5AYUCh. A.7 - Prob. 6AYUCh. A.7 - Prob. 7AYUCh. A.7 - Prob. 8AYUCh. A.7 - Prob. 9AYUCh. A.7 - Prob. 10AYUCh. A.7 - Prob. 11AYUCh. A.7 - Prob. 12AYUCh. A.7 - Prob. 13AYUCh. A.7 - Prob. 14AYUCh. A.7 - Prob. 15AYUCh. A.7 - Prob. 16AYUCh. A.7 - Prob. 17AYUCh. A.7 - Prob. 18AYUCh. A.7 - Prob. 19AYUCh. A.7 - Prob. 20AYUCh. A.7 - Prob. 21AYUCh. A.7 - Prob. 22AYUCh. A.7 - Prob. 23AYUCh. A.7 - Prob. 24AYUCh. A.7 - Prob. 25AYUCh. A.7 - Prob. 26AYUCh. A.7 - Prob. 27AYUCh. A.7 - Prob. 28AYUCh. A.7 - Prob. 29AYUCh. A.7 - Prob. 30AYUCh. A.7 - Prob. 31AYUCh. A.7 - Prob. 32AYUCh. A.7 - Prob. 33AYUCh. A.7 - Prob. 34AYUCh. A.7 - Prob. 35AYUCh. A.7 - Prob. 36AYUCh. A.7 - Prob. 37AYUCh. A.7 - Prob. 38AYUCh. A.7 - Prob. 39AYUCh. A.7 - Prob. 40AYUCh. A.7 - Prob. 41AYUCh. A.7 - Prob. 42AYUCh. A.7 - Prob. 43AYUCh. A.7 - Prob. 44AYUCh. A.7 - Prob. 45AYUCh. A.7 - Prob. 46AYUCh. A.7 - Prob. 47AYUCh. A.7 - Prob. 48AYUCh. A.7 - Prob. 49AYUCh. A.7 - Prob. 50AYUCh. A.7 - Prob. 51AYUCh. A.7 - Prob. 52AYUCh. A.7 - Prob. 53AYUCh. A.7 - Prob. 54AYUCh. A.7 - Prob. 55AYUCh. A.7 - Prob. 56AYUCh. A.7 - Prob. 57AYUCh. A.7 - Prob. 58AYUCh. A.7 - Prob. 59AYUCh. A.7 - Prob. 60AYUCh. A.7 - Prob. 61AYUCh. A.7 - Prob. 62AYUCh. A.7 - Prob. 63AYUCh. A.7 - Prob. 64AYUCh. A.7 - Prob. 65AYUCh. A.7 - Prob. 66AYUCh. A.7 - Prob. 67AYUCh. A.7 - Prob. 68AYUCh. A.7 - Prob. 69AYUCh. A.7 - Prob. 70AYUCh. A.7 - Prob. 71AYUCh. A.7 - Prob. 72AYUCh. A.7 - Prob. 73AYUCh. A.7 - Prob. 74AYUCh. A.7 - Prob. 75AYUCh. A.7 - Prob. 76AYUCh. A.7 - Prob. 77AYUCh. A.7 - Prob. 78AYUCh. A.7 - Prob. 79AYUCh. A.7 - Prob. 80AYUCh. A.7 - Prob. 81AYUCh. A.7 - Prob. 82AYUCh. A.7 - Prob. 83AYUCh. A.7 - Prob. 84AYUCh. A.7 - Prob. 85AYUCh. A.7 - Prob. 86AYUCh. A.7 - Prob. 87AYUCh. A.7 - Prob. 88AYUCh. A.7 - Prob. 89AYUCh. A.7 - Prob. 90AYUCh. A.7 - Prob. 91AYUCh. A.7 - Prob. 92AYUCh. A.7 - Prob. 93AYUCh. A.7 - Prob. 94AYUCh. A.7 - Prob. 95AYUCh. A.7 - Prob. 96AYUCh. A.8 - Prob. 1AYUCh. A.8 - Prob. 2AYUCh. A.8 - Prob. 3AYUCh. A.8 - Prob. 4AYUCh. A.8 - Prob. 5AYUCh. A.8 - Prob. 6AYUCh. A.8 - Prob. 7AYUCh. A.8 - Prob. 8AYUCh. A.8 - Prob. 9AYUCh. A.8 - Prob. 10AYUCh. A.8 - Prob. 11AYUCh. A.8 - Prob. 12AYUCh. A.8 - Prob. 13AYUCh. A.8 - Prob. 14AYUCh. A.8 - Prob. 15AYUCh. A.8 - Prob. 16AYUCh. A.8 - Prob. 17AYUCh. A.8 - Prob. 18AYUCh. A.8 - Prob. 19AYUCh. A.8 - Prob. 20AYUCh. A.8 - Prob. 21AYUCh. A.8 - Prob. 22AYUCh. A.8 - Prob. 23AYUCh. A.8 - Prob. 24AYUCh. A.8 - Prob. 25AYUCh. A.8 - Prob. 26AYUCh. A.8 - Prob. 27AYUCh. A.8 - Prob. 28AYUCh. A.8 - Prob. 29AYUCh. A.8 - Prob. 30AYUCh. A.8 - Moving Walkways The speed of a moving walkway is...Ch. A.8 - Prob. 32AYUCh. A.8 - Prob. 33AYUCh. A.8 - Prob. 34AYUCh. A.8 - Prob. 35AYUCh. A.8 - Prob. 36AYUCh. A.8 - Prob. 37AYUCh. A.8 - Prob. 38AYUCh. A.8 - Prob. 39AYUCh. A.8 - Prob. 40AYUCh. A.8 - Prob. 41AYUCh. A.8 - Prob. 42AYUCh. A.8 - Prob. 43AYUCh. A.8 - Prob. 44AYUCh. A.8 - Prob. 45AYUCh. A.8 - Prob. 46AYUCh. A.8 - Prob. 47AYUCh. A.8 - Prob. 48AYUCh. A.8 - Prob. 49AYUCh. A.8 - Prob. 50AYUCh. A.8 - Prob. 51AYUCh. A.8 - Prob. 52AYUCh. A.8 - Prob. 53AYUCh. A.8 - Prob. 54AYUCh. A.8 - Prob. 55AYUCh. A.8 - Prob. 56AYUCh. A.8 - Prob. 57AYUCh. A.8 - Prob. 58AYUCh. A.8 - Prob. 59AYUCh. A.8 - Prob. 60AYUCh. A.8 - Prob. 61AYUCh. A.8 - Prob. 62AYUCh. A.8 - Prob. 63AYUCh. A.9 - Prob. 1AYUCh. A.9 - Prob. 2AYUCh. A.9 - Prob. 3AYUCh. A.9 - Prob. 4AYUCh. A.9 - Prob. 5AYUCh. A.9 - Prob. 6AYUCh. A.9 - Prob. 7AYUCh. A.9 - Prob. 8AYUCh. A.9 - Prob. 9AYUCh. A.9 - Prob. 10AYUCh. A.9 - Prob. 11AYUCh. A.9 - Prob. 12AYUCh. A.9 - Prob. 13AYUCh. A.9 - Prob. 14AYUCh. A.9 - Prob. 15AYUCh. A.9 - Prob. 16AYUCh. A.9 - Prob. 17AYUCh. A.9 - Prob. 18AYUCh. A.9 - Prob. 19AYUCh. A.9 - Prob. 20AYUCh. A.9 - Prob. 21AYUCh. A.9 - Prob. 22AYUCh. A.9 - Prob. 23AYUCh. A.9 - Prob. 24AYUCh. A.9 - Prob. 25AYUCh. A.9 - Prob. 26AYUCh. A.9 - Prob. 27AYUCh. A.9 - Prob. 28AYUCh. A.9 - Prob. 29AYUCh. A.9 - Prob. 30AYUCh. A.9 - Prob. 31AYUCh. A.9 - Prob. 32AYUCh. A.9 - Prob. 33AYUCh. A.9 - Prob. 34AYUCh. A.9 - Prob. 35AYUCh. A.9 - Prob. 36AYUCh. A.9 - Prob. 37AYUCh. A.9 - Prob. 38AYUCh. A.9 - Prob. 39AYUCh. A.9 - Prob. 40AYUCh. A.9 - Prob. 41AYUCh. A.9 - Prob. 42AYUCh. A.9 - Prob. 43AYUCh. A.9 - Prob. 44AYUCh. A.9 - Prob. 45AYUCh. A.9 - Prob. 46AYUCh. A.9 - Prob. 47AYUCh. A.9 - Prob. 48AYUCh. A.9 - Prob. 49AYUCh. A.9 - Prob. 50AYUCh. A.9 - Prob. 51AYUCh. A.9 - Prob. 52AYUCh. A.9 - Prob. 53AYUCh. A.9 - Prob. 54AYUCh. A.9 - Prob. 55AYUCh. A.9 - Prob. 56AYUCh. A.9 - Prob. 57AYUCh. A.9 - Prob. 58AYUCh. A.9 - Prob. 59AYUCh. A.9 - Prob. 60AYUCh. A.9 - Prob. 61AYUCh. A.9 - Prob. 62AYUCh. A.9 - Prob. 63AYUCh. A.9 - Prob. 64AYUCh. A.9 - Prob. 65AYUCh. A.9 - Prob. 66AYUCh. A.9 - Prob. 67AYUCh. A.9 - Prob. 68AYUCh. A.9 - Prob. 69AYUCh. A.9 - Prob. 70AYUCh. A.9 - Prob. 71AYUCh. A.9 - Prob. 72AYUCh. A.9 - Prob. 73AYUCh. A.9 - Prob. 74AYUCh. A.9 - Prob. 75AYUCh. A.9 - Prob. 76AYUCh. A.9 - Prob. 77AYUCh. A.9 - Prob. 78AYUCh. A.9 - Prob. 79AYUCh. A.9 - Prob. 80AYUCh. A.9 - Prob. 81AYUCh. A.9 - Prob. 82AYUCh. A.9 - Prob. 83AYUCh. A.9 - Prob. 84AYUCh. A.9 - Prob. 85AYUCh. A.9 - Prob. 86AYUCh. A.9 - Prob. 87AYUCh. A.9 - Prob. 88AYUCh. A.9 - Prob. 89AYUCh. A.9 - Prob. 90AYUCh. A.9 - Prob. 91AYUCh. A.9 - Prob. 92AYUCh. A.9 - Prob. 93AYUCh. A.9 - Prob. 94AYUCh. A.9 - Prob. 95AYUCh. A.9 - Prob. 96AYUCh. A.9 - Prob. 97AYUCh. A.9 - Prob. 98AYUCh. A.9 - Prob. 99AYUCh. A.9 - Prob. 100AYUCh. A.9 - Prob. 101AYUCh. A.9 - Prob. 102AYUCh. A.9 - Prob. 103AYUCh. A.9 - Prob. 104AYUCh. A.9 - Prob. 105AYUCh. A.9 - Prob. 106AYUCh. A.9 - Prob. 107AYUCh. A.9 - Prob. 108AYUCh. A.9 - Prob. 109AYUCh. A.9 - Prob. 110AYUCh. A.9 - Prob. 111AYUCh. A.9 - Prob. 112AYUCh. A.9 - Prob. 113AYUCh. A.9 - Prob. 114AYUCh. A.9 - Prob. 115AYUCh. A.9 - Prob. 116AYUCh. A.9 - Prob. 117AYUCh. A.9 - Prob. 118AYUCh. A.9 - Prob. 119AYUCh. A.9 - Prob. 120AYUCh. A.9 - Prob. 121AYUCh. A.9 - Prob. 122AYUCh. A.9 - Prob. 123AYUCh. A.9 - Prob. 124AYUCh. A.9 - Prob. 125AYUCh. A.9 - Prob. 126AYUCh. A.9 - Prob. 127AYUCh. A.9 - Prob. 128AYUCh. A.9 - Prob. 129AYUCh. A.9 - Prob. 130AYUCh. A.9 - Prob. 131AYUCh. A.9 - Prob. 132AYUCh. A.9 - Computing Grades In your Economics 101 class, you...Ch. A.9 - Prob. 134AYUCh. A.9 - Prob. 135AYUCh. A.9 - Prob. 136AYUCh. A.9 - Prob. 137AYUCh. A.9 - Prob. 138AYUCh. A.9 - Prob. 139AYUCh. A.9 - Prob. 140AYUCh. A.9 - Prob. 141AYUCh. A.10 - Prob. 1AYUCh. A.10 - Prob. 2AYUCh. A.10 - Prob. 3AYUCh. A.10 - Prob. 4AYUCh. A.10 - Prob. 5AYUCh. A.10 - Prob. 6AYUCh. A.10 - Prob. 7AYUCh. A.10 - Prob. 8AYUCh. A.10 - Prob. 9AYUCh. A.10 - Prob. 10AYUCh. A.10 - Prob. 11AYUCh. A.10 - Prob. 12AYUCh. A.10 - Prob. 13AYUCh. A.10 - Prob. 14AYUCh. A.10 - Prob. 15AYUCh. A.10 - Prob. 16AYUCh. A.10 - Prob. 17AYUCh. A.10 - Prob. 18AYUCh. A.10 - Prob. 19AYUCh. A.10 - Prob. 20AYUCh. A.10 - Prob. 21AYUCh. A.10 - Prob. 22AYUCh. A.10 - Prob. 23AYUCh. A.10 - Prob. 24AYUCh. A.10 - Prob. 25AYUCh. A.10 - Prob. 26AYUCh. A.10 - Prob. 27AYUCh. A.10 - Prob. 28AYUCh. A.10 - Prob. 29AYUCh. A.10 - Prob. 30AYUCh. A.10 - Prob. 31AYUCh. A.10 - Prob. 32AYUCh. A.10 - Prob. 33AYUCh. A.10 - Prob. 34AYUCh. A.10 - Prob. 35AYUCh. A.10 - Prob. 36AYUCh. A.10 - Prob. 37AYUCh. A.10 - Prob. 38AYUCh. A.10 - Prob. 39AYUCh. A.10 - Prob. 40AYUCh. A.10 - Prob. 41AYUCh. A.10 - Prob. 42AYUCh. A.10 - Prob. 43AYUCh. A.10 - Prob. 44AYUCh. A.10 - Prob. 45AYUCh. A.10 - Prob. 46AYUCh. A.10 - Prob. 47AYUCh. A.10 - Prob. 48AYUCh. A.10 - Prob. 49AYUCh. A.10 - Prob. 50AYUCh. A.10 - Prob. 51AYUCh. A.10 - Prob. 52AYUCh. A.10 - Prob. 53AYUCh. A.10 - Prob. 54AYUCh. A.10 - Prob. 55AYUCh. A.10 - Prob. 56AYUCh. A.10 - Prob. 57AYUCh. A.10 - Prob. 58AYUCh. A.10 - Prob. 59AYUCh. A.10 - Prob. 60AYUCh. A.10 - Prob. 61AYUCh. A.10 - Prob. 62AYUCh. A.10 - Prob. 63AYUCh. A.10 - Prob. 64AYUCh. A.10 - Prob. 65AYUCh. A.10 - Prob. 66AYUCh. A.10 - Prob. 67AYUCh. A.10 - Prob. 68AYUCh. A.10 - Prob. 69AYUCh. A.10 - Prob. 70AYUCh. A.10 - Prob. 71AYUCh. A.10 - Prob. 72AYUCh. A.10 - Prob. 73AYUCh. A.10 - Prob. 74AYUCh. A.10 - Prob. 75AYUCh. A.10 - Prob. 76AYUCh. A.10 - Prob. 77AYUCh. A.10 - Prob. 78AYUCh. A.10 - Prob. 79AYUCh. A.10 - Prob. 80AYUCh. A.10 - Prob. 81AYUCh. A.10 - Prob. 82AYUCh. A.10 - Prob. 83AYUCh. A.10 - Prob. 84AYUCh. A.10 - Prob. 85AYUCh. A.10 - Prob. 86AYUCh. A.10 - Prob. 87AYUCh. A.10 - Prob. 88AYUCh. A.10 - Prob. 89AYUCh. A.10 - Prob. 90AYUCh. A.10 - Prob. 91AYUCh. A.10 - Prob. 92AYUCh. A.10 - Prob. 93AYUCh. A.10 - Prob. 94AYUCh. A.10 - Prob. 95AYUCh. A.10 - Prob. 96AYUCh. A.10 - Prob. 97AYUCh. A.10 - Prob. 98AYUCh. A.10 - Prob. 99AYUCh. A.10 - Prob. 100AYUCh. A.10 - Prob. 101AYUCh. A.10 - Prob. 102AYUCh. A.10 - Prob. 103AYUCh. A.10 - Prob. 104AYUCh. A.10 - Prob. 105AYUCh. A.10 - Prob. 106AYUCh. A.10 - Prob. 107AYUCh. A.10 - Prob. 108AYUCh. A.10 - Prob. 109AYUCh. A.10 - Prob. 110AYUCh. A.10 - Prob. 111AYUCh. A.10 - Prob. 112AYUCh. A.10 - Prob. 113AYUCh. A.10 - Prob. 114AYUCh. A.10 - Prob. 115AYUCh. A.10 - Prob. 116AYUCh. A.10 - Prob. 117AYUCh. A.10 - Prob. 118AYUCh. A.10 - Prob. 119AYUCh. A.10 - Prob. 120AYUCh. A.10 - Prob. 121AYUCh. A.10 - Prob. 122AYUCh. A.10 - Prob. 123AYUCh. A.10 - Prob. 124AYUCh. A.10 - Prob. 125AYUCh. A.10 - Prob. 126AYUCh. A.10 - Prob. 127AYUCh. A.10 - Prob. 128AYUCh. A.10 - Prob. 129AYUCh. A.10 - Prob. 130AYUCh. A.10 - Prob. 131AYUCh. A.10 - Prob. 132AYUCh. A.10 - Prob. 133AYUCh. A.10 - Prob. 134AYUCh. A.10 - Prob. 135AYUCh. A.10 - Prob. 136AYUCh. A.10 - Prob. 137AYUCh. A.10 - Prob. 138AYU
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- The spread of an infectious disease is often modeled using the following autonomous differential equation: dI - - BI(N − I) − MI, dt where I is the number of infected people, N is the total size of the population being modeled, ẞ is a constant determining the rate of transmission, and μ is the rate at which people recover from infection. Close a) (5 points) Suppose ẞ = 0.01, N = 1000, and µ = 2. Find all equilibria. b) (5 points) For the equilbria in part a), determine whether each is stable or unstable. c) (3 points) Suppose ƒ(I) = d. Draw a phase plot of f against I. (You can use Wolfram Alpha or Desmos to plot the function, or draw the dt function by hand.) Identify the equilibria as stable or unstable in the graph. d) (2 points) Explain the biological meaning of these equilibria being stable or unstable.arrow_forwardFind the indefinite integral. Check Answer: 7x 4 + 1x dxarrow_forwardshow sketcharrow_forward
- Find the indefinite integral. Check Answer: 7x 4 + 1x dxarrow_forwardQuestion 1: Evaluate the following indefinite integrals. a) (5 points) sin(2x) 1 + cos² (x) dx b) (5 points) t(2t+5)³ dt c) (5 points) √ (In(v²)+1) 4 -dv ขarrow_forwardFind the indefinite integral. Check Answer: In(5x) dx xarrow_forward
- Find the indefinite integral. Check Answer: 7x 4 + 1x dxarrow_forwardHere is a region R in Quadrant I. y 2.0 T 1.5 1.0 0.5 0.0 + 55 0.0 0.5 1.0 1.5 2.0 X It is bounded by y = x¹/3, y = 1, and x = 0. We want to evaluate this double integral. ONLY ONE order of integration will work. Good luck! The dA =???arrow_forward43–46. Directions of change Consider the following functions f and points P. Sketch the xy-plane showing P and the level curve through P. Indicate (as in Figure 15.52) the directions of maximum increase, maximum decrease, and no change for f. ■ 45. f(x, y) = x² + xy + y² + 7; P(−3, 3)arrow_forward
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