Intermediate Algebra for College Students (7th Edition)
7th Edition
ISBN: 9780134178943
Author: Robert F. Blitzer
Publisher: PEARSON
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Textbook Question
Chapter 4.5, Problem 24E
Explaining the Concepts
What kinds of problems are solved using the linear programming method?
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2 Find det (A)
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Question 1. Solve the system
-
x1 x2 + 3x3 + 2x4
-x1 + x22x3 + x4
2x12x2+7x3+7x4
Question 2. Consider the system
= 1
=-2
= 1
3x1 - x2 + ax3
= 1
x1 + 3x2 + 2x3
x12x2+2x3
= -b
= 4
1 For what values of a, b will the system be inconsistent?
2 For what values of a, b will the system have only one solution?
For what values of a, b will the saystem have infinitely many solutions?
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det (A) = det (B)
Question 6. For what values of k is the matrix A = (2- k
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-1
2) singular?
k
Chapter 4 Solutions
Intermediate Algebra for College Students (7th Edition)
Ch. 4.1 - Check Point 1 Solve and graph the solution set on...Ch. 4.1 - Check Point 2 Solve and graph the solution set:...Ch. 4.1 - Prob. 1CVCCh. 4.1 - Prob. 2CVCCh. 4.1 - Prob. 3CVCCh. 4.1 - Prob. 4CVCCh. 4.1 - Prob. 5CVCCh. 4.1 - Prob. 6CVCCh. 4.1 - Prob. 7CVCCh. 4.1 - Prob. 8CVC
Ch. 4.1 - Prob. 9CVCCh. 4.1 - Prob. 10CVCCh. 4.1 - In Exercises 1 32, solve each linear inequality....Ch. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - Prob. 5ECh. 4.1 - Prob. 6ECh. 4.1 - Prob. 7ECh. 4.1 - Prob. 8ECh. 4.1 - Prob. 9ECh. 4.1 - Prob. 10ECh. 4.1 - In Exercises 1 –32, solve each linear inequality....Ch. 4.1 - Prob. 12ECh. 4.1 - Prob. 13ECh. 4.1 - Prob. 14ECh. 4.1 - In Exercises 1 –32, solve each linear inequality....Ch. 4.1 - Prob. 16ECh. 4.1 - In Exercises 1 –32, solve each linear inequality....Ch. 4.1 - Prob. 18ECh. 4.1 - In Exercises 1 32, solve each linear inequality....Ch. 4.1 - Prob. 20ECh. 4.1 - Prob. 21ECh. 4.1 - In Exercises 1 32, solve each linear inequality....Ch. 4.1 - Prob. 23ECh. 4.1 - Prob. 24ECh. 4.1 - In Exercises 1 32, solve each linear inequality....Ch. 4.1 - Prob. 26ECh. 4.1 - In Exercises 1 32, solve each linear inequality....Ch. 4.1 - In Exercises 1 32, solve each linear inequality....Ch. 4.1 - In Exercises 1 32, solve each linear inequality....Ch. 4.1 - Prob. 30ECh. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - Prob. 34ECh. 4.1 - Prob. 35ECh. 4.1 - Prob. 36ECh. 4.1 - Prob. 37ECh. 4.1 - Prob. 38ECh. 4.1 - Prob. 39ECh. 4.1 - Prob. 40ECh. 4.1 - Prob. 41ECh. 4.1 - Prob. 42ECh. 4.1 - Prob. 43ECh. 4.1 - Prob. 44ECh. 4.1 - Prob. 45ECh. 4.1 - Prob. 46ECh. 4.1 - The graphs show that the three components of love,...Ch. 4.1 - Prob. 48ECh. 4.1 - Prob. 49ECh. 4.1 - Prob. 50ECh. 4.1 - Prob. 51ECh. 4.1 - Prob. 52ECh. 4.1 - Prob. 53ECh. 4.1 - Prob. 54ECh. 4.1 - Diversity Index. What is the chance that the next...Ch. 4.1 - Prob. 56ECh. 4.1 - Prob. 57ECh. 4.1 - Prob. 58ECh. 4.1 - Prob. 59ECh. 4.1 - Prob. 60ECh. 4.1 - A city commission has proposed two tax bills. The...Ch. 4.1 - Prob. 62ECh. 4.1 - 63. A company manufactures and sells blank DVDs....Ch. 4.1 - Prob. 64ECh. 4.1 - 65. An elevator at a construction site has a...Ch. 4.1 - Prob. 66ECh. 4.1 - Prob. 67ECh. 4.1 - Prob. 68ECh. 4.1 - Prob. 69ECh. 4.1 - Prob. 70ECh. 4.1 - Prob. 71ECh. 4.1 - Prob. 72ECh. 4.1 - Prob. 73ECh. 4.1 - Prob. 74ECh. 4.1 - Prob. 75ECh. 4.1 - Prob. 76ECh. 4.1 - Prob. 77ECh. 4.1 - Prob. 78ECh. 4.1 - Prob. 79ECh. 4.1 - Prob. 80ECh. 4.1 - I have trouble remembering when to reverse the...Ch. 4.1 - Prob. 82ECh. 4.1 - Prob. 83ECh. 4.1 - Prob. 84ECh. 4.1 - Prob. 85ECh. 4.1 - Prob. 86ECh. 4.1 - Prob. 87ECh. 4.1 - Prob. 88ECh. 4.1 - Prob. 89ECh. 4.1 - Prob. 90ECh. 4.1 - Prob. 91ECh. 4.1 - Prob. 92ECh. 4.1 - Prob. 93ECh. 4.1 - Prob. 94ECh. 4.1 - Prob. 95ECh. 4.2 - Prob. 1CPCh. 4.2 - Prob. 2CPCh. 4.2 - Prob. 3CPCh. 4.2 - Prob. 4CPCh. 4.2 - Prob. 5CPCh. 4.2 - Prob. 6CPCh. 4.2 - Prob. 7CPCh. 4.2 - 1. The set of elements common to both set A and...Ch. 4.2 - Prob. 2CVCCh. 4.2 - Prob. 3CVCCh. 4.2 - Prob. 4CVCCh. 4.2 - Prob. 5CVCCh. 4.2 - Prob. 1ECh. 4.2 - Prob. 2ECh. 4.2 - Prob. 3ECh. 4.2 - Prob. 4ECh. 4.2 - Prob. 5ECh. 4.2 - Prob. 6ECh. 4.2 - Prob. 7ECh. 4.2 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - Prob. 10ECh. 4.2 - In Exercises 7 – 24, solve each compound...Ch. 4.2 - In Exercises 7 – 24, solve each compound...Ch. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.2 - Prob. 15ECh. 4.2 - In Exercises 7 – 24, solve each compound...Ch. 4.2 - Prob. 17ECh. 4.2 - Prob. 18ECh. 4.2 - In Exercises 7 – 24, solve each compound...Ch. 4.2 - Prob. 20ECh. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - Prob. 23ECh. 4.2 - Prob. 24ECh. 4.2 - In Exercises 25 – 32, solve each inequality and...Ch. 4.2 - Prob. 26ECh. 4.2 - Prob. 27ECh. 4.2 - Prob. 28ECh. 4.2 - In Exercises 25 – 32, solve each inequality and...Ch. 4.2 - Prob. 30ECh. 4.2 - In Exercises 25 – 32, solve each inequality and...Ch. 4.2 - Prob. 32ECh. 4.2 - Prob. 33ECh. 4.2 - Prob. 34ECh. 4.2 - Prob. 35ECh. 4.2 - Prob. 36ECh. 4.2 - Prob. 37ECh. 4.2 - Prob. 38ECh. 4.2 - Prob. 39ECh. 4.2 - In Exercises 39 54, solve each compound...Ch. 4.2 - In Exercises 39 – 54, solve each compound...Ch. 4.2 - Prob. 42ECh. 4.2 - In Exercises 39 – 54, solve each compound...Ch. 4.2 - Prob. 44ECh. 4.2 - In Exercises 39 54, solve each compound...Ch. 4.2 - Prob. 46ECh. 4.2 - Prob. 47ECh. 4.2 - Prob. 48ECh. 4.2 - Prob. 49ECh. 4.2 - In Exercises 39 – 54, solve each compound...Ch. 4.2 - In Exercises 39 54, solve each compound...Ch. 4.2 - Prob. 52ECh. 4.2 - Prob. 53ECh. 4.2 - Prob. 54ECh. 4.2 - Prob. 55ECh. 4.2 - Prob. 56ECh. 4.2 - Prob. 57ECh. 4.2 - Prob. 58ECh. 4.2 - Prob. 59ECh. 4.2 - Prob. 60ECh. 4.2 - Prob. 61ECh. 4.2 - Prob. 62ECh. 4.2 - Prob. 63ECh. 4.2 - Prob. 64ECh. 4.2 - Prob. 65ECh. 4.2 - Prob. 66ECh. 4.2 - Prob. 67ECh. 4.2 - Prob. 68ECh. 4.2 - Application Exercises
In more U.S. marriages,...Ch. 4.2 - Application Exercises
In more U.S. marriages,...Ch. 4.2 - Prob. 71ECh. 4.2 - Prob. 72ECh. 4.2 - On the first four exams, your grades are 70, 75,...Ch. 4.2 - Prob. 74ECh. 4.2 - Prob. 75ECh. 4.2 - Parts for an automobile repair cost $1.75. The...Ch. 4.2 - Prob. 77ECh. 4.2 - Prob. 78ECh. 4.2 - Prob. 79ECh. 4.2 - Prob. 80ECh. 4.2 - Prob. 81ECh. 4.2 - Prob. 82ECh. 4.2 - Prob. 83ECh. 4.2 - Prob. 84ECh. 4.2 - Prob. 85ECh. 4.2 - Prob. 86ECh. 4.2 - Prob. 87ECh. 4.2 - Prob. 88ECh. 4.2 - Prob. 89ECh. 4.2 - Prob. 90ECh. 4.2 - Prob. 91ECh. 4.2 - Prob. 92ECh. 4.2 - Prob. 93ECh. 4.2 - In Exercises 92 –95, determine whether each...Ch. 4.2 - Prob. 95ECh. 4.2 - Prob. 96ECh. 4.2 - Prob. 97ECh. 4.2 - Prob. 98ECh. 4.2 - Prob. 99ECh. 4.2 - Prob. 100ECh. 4.2 - Prob. 101ECh. 4.2 - Prob. 102ECh. 4.2 - Prob. 103ECh. 4.2 - Prob. 104ECh. 4.2 - Prob. 105ECh. 4.2 - Prob. 106ECh. 4.2 - Prob. 107ECh. 4.3 - Prob. 1CPCh. 4.3 - Prob. 2CPCh. 4.3 - Prob. 3CPCh. 4.3 - Prob. 4CPCh. 4.3 - Prob. 5CPCh. 4.3 - Prob. 6CPCh. 4.3 - Prob. 7CPCh. 4.3 - Prob. 1CVCCh. 4.3 - Prob. 2CVCCh. 4.3 - Prob. 3CVCCh. 4.3 - Prob. 4CVCCh. 4.3 - Prob. 5CVCCh. 4.3 - Prob. 6CVCCh. 4.3 - Prob. 7CVCCh. 4.3 - Prob. 8CVCCh. 4.3 - Prob. 9CVCCh. 4.3 - Prob. 10CVCCh. 4.3 - Prob. 11CVCCh. 4.3 - Prob. 12CVCCh. 4.3 - Prob. 1ECh. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - Prob. 9ECh. 4.3 - Prob. 10ECh. 4.3 - Prob. 11ECh. 4.3 - Prob. 12ECh. 4.3 - In Exercises 1 – 38, find the solution set for...Ch. 4.3 - Prob. 14ECh. 4.3 - Prob. 15ECh. 4.3 - Prob. 16ECh. 4.3 - In Exercises 1 38, find the solution set for each...Ch. 4.3 - Prob. 18ECh. 4.3 - Prob. 19ECh. 4.3 - Prob. 20ECh. 4.3 - In Exercises 1 38, find the solution set for each...Ch. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - In Exercises 1– 38, find the solution set for each...Ch. 4.3 - In Exercises 1 38, find the solution set for each...Ch. 4.3 - In Exercises 1– 38 , find the solution set for...Ch. 4.3 - In Exercises 1 38, find the solution set for each...Ch. 4.3 - In Exercises 1 38, find the solution set for each...Ch. 4.3 - In Exercises 1 38, find the solution set for each...Ch. 4.3 - In Exercises 1 38, find the solution set for each...Ch. 4.3 - In Exercises 1 – 38, find the solution set for...Ch. 4.3 - In Exercises 1– 38, find the solution set for each...Ch. 4.3 - Prob. 36ECh. 4.3 - Prob. 37ECh. 4.3 - Prob. 38ECh. 4.3 - In Exercises 39 74, solve and graph the solution...Ch. 4.3 - In Exercises 39– 74, solve and graph the solution...Ch. 4.3 - In Exercises 39 74, solve and graph the solution...Ch. 4.3 - In Exercises 39– 74, solve and graph the solution...Ch. 4.3 - In Exercises 39 – 74, solve and graph the solution...Ch. 4.3 - Prob. 44ECh. 4.3 - In Exercises 39 – 74, solve and graph the solution...Ch. 4.3 - In Exercises 39 74, solve and graph the solution...Ch. 4.3 - Prob. 47ECh. 4.3 - Prob. 48ECh. 4.3 - In Exercises 39– 74, solve and graph the solution...Ch. 4.3 - Prob. 50ECh. 4.3 - Prob. 51ECh. 4.3 - In Exercises 39 74, solve and graph the solution...Ch. 4.3 - Prob. 53ECh. 4.3 - Prob. 54ECh. 4.3 - In Exercises 39 74, solve and graph the solution...Ch. 4.3 - Prob. 56ECh. 4.3 - Prob. 57ECh. 4.3 - Prob. 58ECh. 4.3 - Prob. 59ECh. 4.3 - Prob. 60ECh. 4.3 - Prob. 61ECh. 4.3 - In Exercises 39 − 74, solve and graph the solution...Ch. 4.3 - In Exercises 39 −74, solve and graph the solution...Ch. 4.3 - Prob. 64ECh. 4.3 - Prob. 65ECh. 4.3 - Prob. 66ECh. 4.3 - Prob. 67ECh. 4.3 - Prob. 68ECh. 4.3 - In Exercises 39 −74, solve and graph the solution...Ch. 4.3 - Prob. 70ECh. 4.3 - Prob. 71ECh. 4.3 - Prob. 72ECh. 4.3 - In Exercises 39 74, solve and graph the solution...Ch. 4.3 - Prob. 74ECh. 4.3 - Prob. 75ECh. 4.3 - Prob. 76ECh. 4.3 - 77. Let | and Find all values of x for which
Ch. 4.3 - 78. Let and Find all values of x for which
Ch. 4.3 - Prob. 79ECh. 4.3 - Prob. 80ECh. 4.3 - Let h(x)=|2x3|+1 Find all values of x for which...Ch. 4.3 - Prob. 82ECh. 4.3 - Prob. 83ECh. 4.3 - Prob. 84ECh. 4.3 - Prob. 85ECh. 4.3 - Prob. 86ECh. 4.3 - In Exercises 87− 88, use the graph of to solve...Ch. 4.3 - Prob. 88ECh. 4.3 - Prob. 89ECh. 4.3 - Prob. 90ECh. 4.3 - Prob. 91ECh. 4.3 - Prob. 92ECh. 4.3 - Prob. 93ECh. 4.3 - Prob. 94ECh. 4.3 - Prob. 95ECh. 4.3 - Prob. 96ECh. 4.3 - Prob. 97ECh. 4.3 - Prob. 98ECh. 4.3 - Prob. 99ECh. 4.3 - Prob. 100ECh. 4.3 - Prob. 101ECh. 4.3 - Prob. 102ECh. 4.3 - Prob. 103ECh. 4.3 - Prob. 104ECh. 4.3 - Prob. 105ECh. 4.3 - Prob. 106ECh. 4.3 - Prob. 107ECh. 4.3 - Prob. 108ECh. 4.3 - Prob. 109ECh. 4.3 - Prob. 110ECh. 4.3 - Prob. 111ECh. 4.3 - Prob. 112ECh. 4.3 - Prob. 113ECh. 4.3 - Prob. 114ECh. 4.3 - Prob. 115ECh. 4.3 - Prob. 116ECh. 4.3 - Prob. 117ECh. 4.3 - Prob. 118ECh. 4.3 - Prob. 119ECh. 4.3 - Prob. 120ECh. 4.3 - Prob. 121ECh. 4.3 - Prob. 122ECh. 4.3 - Prob. 123ECh. 4.3 - Prob. 124ECh. 4.3 - Prob. 125ECh. 4.3 - Prob. 126ECh. 4.3 - Prob. 127ECh. 4.3 - Prob. 128ECh. 4.3 - Prob. 1MCCPCh. 4.3 - Prob. 2MCCPCh. 4.3 - Prob. 3MCCPCh. 4.3 - Prob. 4MCCPCh. 4.3 - Prob. 5MCCPCh. 4.3 - Prob. 6MCCPCh. 4.3 - Prob. 7MCCPCh. 4.3 - In Exercises 1 – 18, solve each inequality or...Ch. 4.3 - Prob. 9MCCPCh. 4.3 - Prob. 10MCCPCh. 4.3 - Prob. 11MCCPCh. 4.3 - Prob. 12MCCPCh. 4.3 - Prob. 13MCCPCh. 4.3 - Prob. 14MCCPCh. 4.3 - Prob. 15MCCPCh. 4.3 - Prob. 16MCCPCh. 4.3 - Prob. 17MCCPCh. 4.3 - Prob. 18MCCPCh. 4.3 - Prob. 19MCCPCh. 4.3 - Prob. 20MCCPCh. 4.3 - Prob. 21MCCPCh. 4.3 - Prob. 22MCCPCh. 4.4 - Check point 1
Graph:
Ch. 4.4 - Prob. 2CPCh. 4.4 - Check point 3
Graph each inequality in a...Ch. 4.4 - Check point 4 Show that point B in Figure 4.14 is...Ch. 4.4 - Prob. 5CPCh. 4.4 - Prob. 6CPCh. 4.4 - Prob. 1CVCCh. 4.4 - Prob. 2CVCCh. 4.4 - Prob. 3CVCCh. 4.4 - Prob. 4CVCCh. 4.4 - Prob. 5CVCCh. 4.4 - Prob. 6CVCCh. 4.4 - Prob. 7CVCCh. 4.4 - Prob. 8CVCCh. 4.4 - In Exercises 1 22, graph each inequality. x+y3Ch. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - In Exercises1 – 22, graph each inequality.
Ch. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - In Exercises 1 22, graph each inequality. x2+y31Ch. 4.4 - Prob. 10ECh. 4.4 - Prob. 11ECh. 4.4 - Prob. 12ECh. 4.4 - In Exercises 1 –22, graph each inequality.
Ch. 4.4 - Prob. 14ECh. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - In Exercises 1 22, graph each inequality. x2Ch. 4.4 - Prob. 18ECh. 4.4 - Prob. 19ECh. 4.4 - Prob. 20ECh. 4.4 - In Exercises 1 – 22, graph each inequality.
Ch. 4.4 - Prob. 22ECh. 4.4 - In Exercises 23 – 46, graph the solution set of...Ch. 4.4 - Prob. 24ECh. 4.4 - In Exercises 23 – 46, graph the solution set of...Ch. 4.4 - Prob. 26ECh. 4.4 - Prob. 27ECh. 4.4 - Prob. 28ECh. 4.4 - In Exercises 23 – 46, graph the solution set each...Ch. 4.4 - Prob. 30ECh. 4.4 - Prob. 31ECh. 4.4 - Prob. 32ECh. 4.4 - In Exercises 23 – 46, graph the solution set of...Ch. 4.4 - Prob. 34ECh. 4.4 - In Exercises 23–46, graph the solution set of each...Ch. 4.4 - Prob. 36ECh. 4.4 - In Exercises 23 46, graph the solution the...Ch. 4.4 - Prob. 38ECh. 4.4 - Prob. 39ECh. 4.4 - Prob. 40ECh. 4.4 - In Exercises 23–46, graph the solution set of each...Ch. 4.4 - Prob. 42ECh. 4.4 - Prob. 43ECh. 4.4 - Prob. 44ECh. 4.4 - In Exercises 23 46, graph the solution set of...Ch. 4.4 - Prob. 46ECh. 4.4 - Prob. 47ECh. 4.4 - Prob. 48ECh. 4.4 - Prob. 49ECh. 4.4 - In Exercises 49 – 50, write the given sentences as...Ch. 4.4 - Prob. 51ECh. 4.4 - Prob. 52ECh. 4.4 - Prob. 53ECh. 4.4 - Prob. 54ECh. 4.4 - Prob. 55ECh. 4.4 - Prob. 56ECh. 4.4 - Prob. 57ECh. 4.4 - Prob. 58ECh. 4.4 - Prob. 59ECh. 4.4 - Prob. 60ECh. 4.4 - Prob. 61ECh. 4.4 - Prob. 62ECh. 4.4 - 63. On your next vacation, you will divide lodging...Ch. 4.4 - Prob. 64ECh. 4.4 - Prob. 65ECh. 4.4 - Prob. 66ECh. 4.4 - Prob. 67ECh. 4.4 - Prob. 68ECh. 4.4 - Prob. 69ECh. 4.4 - Prob. 70ECh. 4.4 - Prob. 71ECh. 4.4 - Prob. 72ECh. 4.4 - Prob. 73ECh. 4.4 - Prob. 74ECh. 4.4 - Prob. 75ECh. 4.4 - Prob. 76ECh. 4.4 - Prob. 77ECh. 4.4 - Prob. 78ECh. 4.4 - Prob. 79ECh. 4.4 - Prob. 80ECh. 4.4 - Prob. 81ECh. 4.4 - Prob. 82ECh. 4.4 - Prob. 83ECh. 4.4 - Prob. 84ECh. 4.4 - Prob. 85ECh. 4.4 - Prob. 86ECh. 4.4 - Prob. 87ECh. 4.4 - Prob. 88ECh. 4.4 - Prob. 89ECh. 4.4 - Prob. 90ECh. 4.4 - Prob. 91ECh. 4.4 - Prob. 92ECh. 4.4 - Prob. 93ECh. 4.4 - Prob. 94ECh. 4.4 - Prob. 95ECh. 4.4 - Prob. 96ECh. 4.4 - Prob. 97ECh. 4.4 - Prob. 98ECh. 4.4 - a. Graph the solution set of the system:...Ch. 4.4 - Prob. 100ECh. 4.4 - Prob. 101ECh. 4.5 - Prob. 1CPCh. 4.5 - Prob. 2CPCh. 4.5 - Prob. 3CPCh. 4.5 - Prob. 4CPCh. 4.5 - Prob. 5CPCh. 4.5 - Fill in each blank so that the resulting statement...Ch. 4.5 - Prob. 2CVCCh. 4.5 - Prob. 3CVCCh. 4.5 - Prob. 1ECh. 4.5 - Prob. 2ECh. 4.5 - Prob. 3ECh. 4.5 - Prob. 4ECh. 4.5 - Prob. 5ECh. 4.5 - Prob. 6ECh. 4.5 - Prob. 7ECh. 4.5 - Prob. 8ECh. 4.5 - Prob. 9ECh. 4.5 - Prob. 10ECh. 4.5 - In Exercises 5 14, an objective function and a...Ch. 4.5 - Prob. 12ECh. 4.5 - Prob. 13ECh. 4.5 - Prob. 14ECh. 4.5 - A television manufacture makes rear – projection...Ch. 4.5 - Prob. 16ECh. 4.5 - Prob. 17ECh. 4.5 - Prob. 18ECh. 4.5 - Prob. 19ECh. 4.5 - Use the two steps for solving a linear programming...Ch. 4.5 - Use the two steps for solving a linear programming...Ch. 4.5 - Prob. 22ECh. 4.5 - Prob. 23ECh. 4.5 - Explaining the Concepts What kinds of problems are...Ch. 4.5 - Prob. 25ECh. 4.5 - Prob. 26ECh. 4.5 - Prob. 27ECh. 4.5 - Prob. 28ECh. 4.5 - Prob. 29ECh. 4.5 - Prob. 30ECh. 4.5 - Make Sense? In Exercises 29 – 32, determine...Ch. 4.5 - Make Sense? In Exercises 29 – 32, determine...Ch. 4.5 - Prob. 33ECh. 4.5 - Prob. 34ECh. 4.5 - Prob. 35ECh. 4.5 - Prob. 36ECh. 4.5 - Prob. 37ECh. 4.5 - Prob. 38ECh. 4.5 - Prob. 39ECh. 4.5 - Prob. 40ECh. 4 - In Exercises 1 6, solve each linear inequality....Ch. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Prob. 18RECh. 4 - Prob. 19RECh. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Prob. 25RECh. 4 - Prob. 26RECh. 4 - Prob. 27RECh. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Prob. 34RECh. 4 - Prob. 35RECh. 4 - Prob. 36RECh. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - Prob. 39RECh. 4 - Prob. 40RECh. 4 - Prob. 41RECh. 4 - Prob. 42RECh. 4 - Prob. 43RECh. 4 - Prob. 44RECh. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Prob. 47RECh. 4 - Prob. 48RECh. 4 - Prob. 49RECh. 4 - Prob. 50RECh. 4 - Prob. 51RECh. 4 - Prob. 52RECh. 4 - Prob. 53RECh. 4 - Prob. 54RECh. 4 - Prob. 55RECh. 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. 14TCh. 4 - Prob. 15TCh. 4 - Prob. 16TCh. 4 - Prob. 17TCh. 4 - Prob. 18TCh. 4 - Prob. 19TCh. 4 - Prob. 20TCh. 4 - Prob. 21TCh. 4 - Prob. 22TCh. 4 - Prob. 23TCh. 4 - In Exercises 1 – 2, solve each equation.
Ch. 4 - In Exercises 1 2, solve each equation....Ch. 4 - In Exercises 1 – 2, solve each equation.
3....Ch. 4 - In Exercises 1 2, solve each equation. If...Ch. 4 - In Exercises 1 2, solve each equation. If...Ch. 4 - In Exercises 1 – 2, solve each equation.
6. Use...Ch. 4 - In Exercises 7 – 10, graph each equation or...Ch. 4 - In Exercises 7 10, graph each equation or...Ch. 4 - In Exercises 7 – 10, solve each equation or...Ch. 4 - In Exercises 7 – 10, graph each equation or...Ch. 4 - Prob. 11CRECh. 4 - Prob. 12CRECh. 4 - Prob. 13CRECh. 4 - Prob. 14CRECh. 4 - Which of the following are functions?Ch. 4 - In Exercises 16 20, solve and graph the solution...Ch. 4 - In Exercises 16–20, solve and graph the solution...Ch. 4 - In Exercises 16–20, solve and graph the solution...Ch. 4 - In Exercises 1620,solve and graph the solution set...Ch. 4 - In Exercises 1620, solve and graph the solution...
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- 1 4 5 Question 3. Find A-1 (if exists), where A = -3 -1 -2 2 3 4 Question 4. State 4 equivalent conditions for a matrix A to be nonsingulararrow_forwardHow long is a guy wire reaching from the top of a 15-foot pole to a point on the ground 9-feet from the pole? Question content area bottom Part 1 The guy wire is exactly feet long. (Type an exact answer, using radicals as needed.) Part 2 The guy wire is approximatelyfeet long. (Round to the nearest thousandth.)arrow_forwardQuestion 6 Not yet answered Marked out of 5.00 Flag question = If (4,6,-11) and (-12,-16,4), = Compute the cross product vx w karrow_forward
- Consider the following vector field v^-> (x,y): v^->(x,y)=2yi−xj What is the magnitude of the vector v⃗ located in point (13,9)? [Provide your answer as an integer number (no fraction). For a decimal number, round your answer to 2 decimal places]arrow_forwardQuestion 4 Find the value of the first element for the first row of the inverse matrix of matrix B. 3 Not yet answered B = Marked out of 5.00 · (³ ;) Flag question 7 [Provide your answer as an integer number (no fraction). For a decimal number, round your answer to 2 decimal places] Answer:arrow_forwardQuestion 2 Not yet answered Multiply the following Matrices together: [77-4 A = 36 Marked out of -5 -5 5.00 B = 3 5 Flag question -6 -7 ABarrow_forward
- Assume {u1, U2, u3, u4} does not span R³. Select the best statement. A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set. B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³. C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set. D. {u1, U2, u3} cannot span R³. E. {U1, U2, u3} spans R³ if u̸4 is the zero vector. F. none of the abovearrow_forwardSelect the best statement. A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectors are distinct. n B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0 excluded spans Rª. ○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains n vectors. ○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectors spans Rn. E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn. F. none of the abovearrow_forwardWhich of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.) ☐ A. { 7 4 3 13 -9 8 -17 7 ☐ B. 0 -8 3 ☐ C. 0 ☐ D. -5 ☐ E. 3 ☐ F. 4 THarrow_forward
- 3 and = 5 3 ---8--8--8 Let = 3 U2 = 1 Select all of the vectors that are in the span of {u₁, u2, u3}. (Check every statement that is correct.) 3 ☐ A. The vector 3 is in the span. -1 3 ☐ B. The vector -5 75°1 is in the span. ГОЛ ☐ C. The vector 0 is in the span. 3 -4 is in the span. OD. The vector 0 3 ☐ E. All vectors in R³ are in the span. 3 F. The vector 9 -4 5 3 is in the span. 0 ☐ G. We cannot tell which vectors are i the span.arrow_forward(20 p) 1. Find a particular solution satisfying the given initial conditions for the third-order homogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y(3)+2y"-y-2y = 0; y(0) = 1, y'(0) = 2, y"(0) = 0; y₁ = e*, y2 = e¯x, y3 = e−2x (20 p) 2. Find a particular solution satisfying the given initial conditions for the second-order nonhomogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y"-2y-3y = 6; y(0) = 3, y'(0) = 11 yc = c₁ex + c2e³x; yp = −2 (60 p) 3. Find the general, and if possible, particular solutions of the linear systems of differential equations given below using the eigenvalue-eigenvector method. (See Section 7.3 in your textbook if you need a review of the subject.) = a) x 4x1 + x2, x2 = 6x1-x2 b) x=6x17x2, x2 = x1-2x2 c) x = 9x1+5x2, x2 = −6x1-2x2; x1(0) = 1, x2(0)=0arrow_forwardFind the perimeter and areaarrow_forward
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