Precalculus (6th Edition)
6th Edition
ISBN: 9780134494890
Author: Blitzer
Publisher: PEARSON
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Chapter 8.1, Problem 4PE
To determine
To calculate: The augmented matrix for the system of linear equations
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Exercise 11.3 A slope field is given for the equation y' = 4y+4.
(a) Sketch the particular solution that corresponds to y(0) = −2
(b) Find the constant solution
(c) For what initial conditions y(0) is the solution increasing?
(d) For what initial conditions y(0) is the solution decreasing?
(e) Verify these results using only the differential equation y' = 4y+4.
Chapter 8 Solutions
Precalculus (6th Edition)
Ch. 8.1 - Check Point 1 Write the augmented matrix for the...Ch. 8.1 - Check Point 2 Use the matrix
...Ch. 8.1 - Check Point 3 Use matrices to solve the system:...Ch. 8.1 - Check Point 4 Use matrices to solve the system:...Ch. 8.1 - Check Point 5 Solve the system in Check Point. 3...Ch. 8.1 - Prob. 1CVCCh. 8.1 - Fill in each blank so that the resulting statement...Ch. 8.1 - Prob. 3CVCCh. 8.1 - Prob. 4CVCCh. 8.1 - Fill in each blank so that the resulting statement...
Ch. 8.1 - Fill in each blank so that the resulting statement...Ch. 8.1 - Prob. 1PECh. 8.1 - Prob. 2PECh. 8.1 - Prob. 3PECh. 8.1 - Prob. 4PECh. 8.1 - Prob. 5PECh. 8.1 - Prob. 6PECh. 8.1 - Prob. 7PECh. 8.1 - Prob. 8PECh. 8.1 - Prob. 9PECh. 8.1 - Prob. 10PECh. 8.1 - Prob. 11PECh. 8.1 - Prob. 12PECh. 8.1 - Prob. 13PECh. 8.1 - Prob. 14PECh. 8.1 - Prob. 15PECh. 8.1 - Prob. 16PECh. 8.1 - Prob. 17PECh. 8.1 - Prob. 18PECh. 8.1 - Prob. 19PECh. 8.1 - Prob. 20PECh. 8.1 - Prob. 21PECh. 8.1 - Prob. 22PECh. 8.1 - Prob. 23PECh. 8.1 - Prob. 24PECh. 8.1 - Prob. 25PECh. 8.1 - Prob. 26PECh. 8.1 - Prob. 27PECh. 8.1 - Prob. 28PECh. 8.1 - Prob. 29PECh. 8.1 - Prob. 30PECh. 8.1 - Prob. 31PECh. 8.1 - Prob. 32PECh. 8.1 - Prob. 33PECh. 8.1 - Prob. 34PECh. 8.1 - Prob. 35PECh. 8.1 - In Exercises 21-38, solve each system of equations...Ch. 8.1 - Prob. 37PECh. 8.1 - In Exercises 21-38. solve each system of equations...Ch. 8.1 - Prob. 39PECh. 8.1 - Prob. 40PECh. 8.1 - Prob. 41PECh. 8.1 - Prob. 42PECh. 8.1 - Prob. 43PECh. 8.1 - Prob. 44PECh. 8.1 - Prob. 45PECh. 8.1 - Prob. 46PECh. 8.1 - Prob. 47PECh. 8.1 - Write a system of linear equations in three or...Ch. 8.1 - Prob. 49PECh. 8.1 - Prob. 50PECh. 8.1 - Prob. 51PECh. 8.1 - Prob. 52PECh. 8.1 - Prob. 53PECh. 8.1 - Describe how to use row operations and matrices to...Ch. 8.1 - What is the difference between Gaussian...Ch. 8.1 - Prob. 56PECh. 8.1 - Prob. 57PECh. 8.1 - Prob. 58PECh. 8.1 - Make Sense? In Exercises 59-62, determine whether...Ch. 8.1 - Prob. 60PECh. 8.1 - Prob. 61PECh. 8.1 - Prob. 62PECh. 8.1 - Prob. 63PECh. 8.1 - Prob. 64PECh. 8.1 - Prob. 65PECh. 8.1 - Prob. 66PECh. 8.1 - Prob. 67PECh. 8.1 - Prob. 68PECh. 8.1 - Prob. 69PECh. 8.1 - Prob. 70PECh. 8.1 - Prob. 71PECh. 8.1 - Prob. 72PECh. 8.1 - Prob. 73PECh. 8.1 - Prob. 74PECh. 8.2 - Check Point 1 Use Gaussian elimination to solve...Ch. 8.2 - Check Point 2 Use Gaussian elimination to solve...Ch. 8.2 - Prob. 3CPCh. 8.2 - Check Point 4 Figure 8.5 shows a system of four...Ch. 8.2 - Prob. 1CVCCh. 8.2 - Prob. 2CVCCh. 8.2 - Prob. 3CVCCh. 8.2 - Prob. 4CVCCh. 8.2 - Prob. 5CVCCh. 8.2 - Prob. 1PECh. 8.2 - Prob. 2PECh. 8.2 - Prob. 3PECh. 8.2 - Prob. 4PECh. 8.2 - Prob. 5PECh. 8.2 - Prob. 6PECh. 8.2 - Prob. 7PECh. 8.2 - Prob. 8PECh. 8.2 - Prob. 9PECh. 8.2 - Prob. 10PECh. 8.2 - Prob. 11PECh. 8.2 - In Exercises 1-24, use Gaussian elimination to...Ch. 8.2 - Prob. 13PECh. 8.2 - Prob. 14PECh. 8.2 - Prob. 15PECh. 8.2 - Prob. 16PECh. 8.2 - Prob. 17PECh. 8.2 - Prob. 18PECh. 8.2 - Prob. 19PECh. 8.2 - Prob. 20PECh. 8.2 - Prob. 21PECh. 8.2 - Prob. 22PECh. 8.2 - Prob. 23PECh. 8.2 - Prob. 24PECh. 8.2 - Prob. 25PECh. 8.2 - Prob. 26PECh. 8.2 - Prob. 27PECh. 8.2 - Prob. 28PECh. 8.2 - Prob. 29PECh. 8.2 - Prob. 30PECh. 8.2 - Prob. 31PECh. 8.2 - Prob. 32PECh. 8.2 - 33. The figure shows the intersections of four...Ch. 8.2 - Prob. 34PECh. 8.2 - Prob. 35PECh. 8.2 - Prob. 36PECh. 8.2 - Prob. 37PECh. 8.2 - Describe what happens when Gaussian elimination is...Ch. 8.2 - Prob. 39PECh. 8.2 - Prob. 40PECh. 8.2 - Prob. 41PECh. 8.2 - Prob. 42PECh. 8.2 - Prob. 43PECh. 8.2 - Prob. 44PECh. 8.2 - Prob. 45PECh. 8.2 - Before beginning this exercise, the group needs to...Ch. 8.2 - Prob. 47PECh. 8.2 - Prob. 48PECh. 8.2 - Prob. 49PECh. 8.2 - Prob. 50PECh. 8.2 - Prob. 51PECh. 8.2 - Prob. 52PECh. 8.2 - Prob. 53PECh. 8.3 - Check Point 1 Let
...Ch. 8.3 - Prob. 2CPCh. 8.3 - Prob. 3CPCh. 8.3 - Prob. 4CPCh. 8.3 - Prob. 5CPCh. 8.3 - Prob. 6CPCh. 8.3 - Prob. 7CPCh. 8.3 - Check Point 8 Change the contrast of the letter L...Ch. 8.3 - Prob. 9CPCh. 8.3 - Prob. 1CVCCh. 8.3 - Prob. 2CVCCh. 8.3 - Prob. 3CVCCh. 8.3 - Prob. 4CVCCh. 8.3 - Prob. 5CVCCh. 8.3 - Prob. 6CVCCh. 8.3 - Prob. 7CVCCh. 8.3 - Prob. 8CVCCh. 8.3 - Prob. 9CVCCh. 8.3 - Prob. 10CVCCh. 8.3 - Prob. 1PECh. 8.3 - Prob. 2PECh. 8.3 - Prob. 3PECh. 8.3 - Prob. 4PECh. 8.3 - Prob. 5PECh. 8.3 - Prob. 6PECh. 8.3 - Prob. 7PECh. 8.3 - Prob. 8PECh. 8.3 - Prob. 9PECh. 8.3 - Prob. 10PECh. 8.3 - Prob. 11PECh. 8.3 - Prob. 12PECh. 8.3 - Prob. 13PECh. 8.3 - Prob. 14PECh. 8.3 - Prob. 15PECh. 8.3 - Prob. 16PECh. 8.3 - Prob. 17PECh. 8.3 - Prob. 18PECh. 8.3 - Prob. 19PECh. 8.3 - Prob. 20PECh. 8.3 - Prob. 21PECh. 8.3 - Prob. 22PECh. 8.3 - Prob. 23PECh. 8.3 - Prob. 24PECh. 8.3 - Prob. 25PECh. 8.3 - Prob. 26PECh. 8.3 - Prob. 27PECh. 8.3 - Prob. 28PECh. 8.3 - Prob. 29PECh. 8.3 - Prob. 30PECh. 8.3 - Prob. 31PECh. 8.3 - Prob. 32PECh. 8.3 - Prob. 33PECh. 8.3 - Prob. 34PECh. 8.3 - Prob. 35PECh. 8.3 - Prob. 36PECh. 8.3 - Prob. 37PECh. 8.3 - Prob. 38PECh. 8.3 - Prob. 39PECh. 8.3 - Prob. 40PECh. 8.3 - Prob. 41PECh. 8.3 - Prob. 42PECh. 8.3 - Prob. 43PECh. 8.3 - Prob. 44PECh. 8.3 - Prob. 45PECh. 8.3 - Prob. 46PECh. 8.3 - Prob. 47PECh. 8.3 - Prob. 48PECh. 8.3 - Prob. 49PECh. 8.3 - Prob. 50PECh. 8.3 - Prob. 51PECh. 8.3 - Prob. 52PECh. 8.3 - Prob. 53PECh. 8.3 - Prob. 54PECh. 8.3 - Prob. 55PECh. 8.3 - Prob. 56PECh. 8.3 - Prob. 57PECh. 8.3 - Prob. 58PECh. 8.3 - Prob. 59PECh. 8.3 - Prob. 60PECh. 8.3 - Prob. 61PECh. 8.3 - The table gives an estimate of basic caloric needs...Ch. 8.3 - 63. Tire final grade in a particular course is...Ch. 8.3 - 64. Ina certain county, the proportion of voters...Ch. 8.3 - 65. What is ment by the order or a matrix? Give an...Ch. 8.3 - Prob. 66PECh. 8.3 - Prob. 67PECh. 8.3 - Prob. 68PECh. 8.3 - Prob. 69PECh. 8.3 - Prob. 70PECh. 8.3 - Prob. 71PECh. 8.3 - Prob. 72PECh. 8.3 - Prob. 73PECh. 8.3 - Prob. 74PECh. 8.3 - Prob. 75PECh. 8.3 - Prob. 76PECh. 8.3 - Prob. 77PECh. 8.3 - Prob. 78PECh. 8.3 - Prob. 79PECh. 8.3 - Prob. 80PECh. 8.3 - Prob. 81PECh. 8.3 - Prob. 82PECh. 8.3 - Prob. 83PECh. 8.3 - Prob. 84PECh. 8.3 - Prob. 85PECh. 8.3 - Prob. 86PECh. 8.3 - Prob. 87PECh. 8.3 - Prob. 88PECh. 8.3 - Prob. 89PECh. 8.3 - Prob. 90PECh. 8.3 - Prob. 91PECh. 8.3 - Prob. 1MCCPCh. 8.3 - Prob. 2MCCPCh. 8.3 - Prob. 3MCCPCh. 8.3 - Prob. 4MCCPCh. 8.3 - Prob. 5MCCPCh. 8.3 - Prob. 6MCCPCh. 8.3 - Prob. 7MCCPCh. 8.3 - Prob. 8MCCPCh. 8.3 - Prob. 9MCCPCh. 8.3 - Prob. 10MCCPCh. 8.4 - Check Point 1 Show that B is the multiplicative...Ch. 8.4 - Prob. 2CPCh. 8.4 - Check Point 3 Find the multiplicative inverse of...Ch. 8.4 - Prob. 4CPCh. 8.4 - Prob. 5CPCh. 8.4 - Prob. 6CPCh. 8.4 - Prob. 7CPCh. 8.4 - Prob. 1CVCCh. 8.4 - Prob. 2CVCCh. 8.4 - Prob. 3CVCCh. 8.4 - Prob. 4CVCCh. 8.4 - Prob. 5CVCCh. 8.4 - Prob. 6CVCCh. 8.4 - Prob. 7CVCCh. 8.4 - Prob. 8CVCCh. 8.4 - Prob. 9CVCCh. 8.4 - In Exercises 1-12, find the products AB and BA to...Ch. 8.4 - Prob. 2PECh. 8.4 - Prob. 3PECh. 8.4 - Prob. 4PECh. 8.4 - Prob. 5PECh. 8.4 - Prob. 6PECh. 8.4 - Prob. 7PECh. 8.4 - Prob. 8PECh. 8.4 - Prob. 9PECh. 8.4 - Prob. 10PECh. 8.4 - Prob. 11PECh. 8.4 - Prob. 12PECh. 8.4 - Prob. 13PECh. 8.4 - Prob. 14PECh. 8.4 - Prob. 15PECh. 8.4 - Prob. 16PECh. 8.4 - Prob. 17PECh. 8.4 - Prob. 18PECh. 8.4 - Prob. 19PECh. 8.4 - Prob. 20PECh. 8.4 - Prob. 21PECh. 8.4 - Prob. 22PECh. 8.4 - Prob. 23PECh. 8.4 - Prob. 24PECh. 8.4 - Prob. 25PECh. 8.4 - Prob. 26PECh. 8.4 - Prob. 27PECh. 8.4 - Prob. 28PECh. 8.4 - Prob. 29PECh. 8.4 - Prob. 30PECh. 8.4 - Prob. 31PECh. 8.4 - Prob. 32PECh. 8.4 - Prob. 33PECh. 8.4 - Prob. 34PECh. 8.4 - Prob. 35PECh. 8.4 - Prob. 36PECh. 8.4 - Prob. 37PECh. 8.4 - Prob. 38PECh. 8.4 - Prob. 39PECh. 8.4 - Prob. 40PECh. 8.4 - Prob. 41PECh. 8.4 - Prob. 42PECh. 8.4 - Prob. 43PECh. 8.4 - Prob. 44PECh. 8.4 - Prob. 45PECh. 8.4 - Prob. 46PECh. 8.4 - Prob. 47PECh. 8.4 - Prob. 48PECh. 8.4 - Prob. 49PECh. 8.4 - Prob. 50PECh. 8.4 - In Exercises 51-52, use the coding matrix A=[4131]...Ch. 8.4 - Prob. 52PECh. 8.4 - Prob. 53PECh. 8.4 - Prob. 54PECh. 8.4 - Prob. 55PECh. 8.4 - Prob. 56PECh. 8.4 - Prob. 57PECh. 8.4 - Prob. 58PECh. 8.4 - Prob. 59PECh. 8.4 - Prob. 60PECh. 8.4 - Prob. 61PECh. 8.4 - Prob. 62PECh. 8.4 - Prob. 63PECh. 8.4 - Prob. 64PECh. 8.4 - Prob. 65PECh. 8.4 - Prob. 66PECh. 8.4 - Prob. 67PECh. 8.4 - Prob. 68PECh. 8.4 - Prob. 69PECh. 8.4 - Prob. 70PECh. 8.4 - Prob. 71PECh. 8.4 - In Exercises 71-76, write each system in the form...Ch. 8.4 - Prob. 73PECh. 8.4 - Prob. 74PECh. 8.4 - Prob. 75PECh. 8.4 - Prob. 76PECh. 8.4 - Prob. 77PECh. 8.4 - Prob. 78PECh. 8.4 - Prob. 79PECh. 8.4 - Prob. 80PECh. 8.4 - Prob. 81PECh. 8.4 - I made an encoding error by selecting the wrong...Ch. 8.4 - Prob. 83PECh. 8.4 - Prob. 84PECh. 8.4 - Prob. 85PECh. 8.4 - Prob. 86PECh. 8.4 - Prob. 87PECh. 8.4 - Prob. 88PECh. 8.4 - 89. Give an example of a matrix that is its own...Ch. 8.4 - Prob. 90PECh. 8.4 - Prob. 91PECh. 8.4 - Prob. 92PECh. 8.4 - Prob. 93PECh. 8.4 - Prob. 94PECh. 8.4 - Prob. 95PECh. 8.4 - Prob. 96PECh. 8.4 - Prob. 97PECh. 8.4 - Prob. 98PECh. 8.4 - Prob. 99PECh. 8.5 - Prob. 1CPCh. 8.5 - Prob. 2CPCh. 8.5 - Prob. 3CPCh. 8.5 - Prob. 4CPCh. 8.5 - Prob. 5CPCh. 8.5 - Prob. 6CPCh. 8.5 - Prob. 1CVCCh. 8.5 - Prob. 2CVCCh. 8.5 - Prob. 3CVCCh. 8.5 - Prob. 4CVCCh. 8.5 - Prob. 5CVCCh. 8.5 - Prob. 1PECh. 8.5 - Prob. 2PECh. 8.5 - Prob. 3PECh. 8.5 - Prob. 4PECh. 8.5 - Prob. 5PECh. 8.5 - Prob. 6PECh. 8.5 - Prob. 7PECh. 8.5 - Prob. 8PECh. 8.5 - Prob. 9PECh. 8.5 - Prob. 10PECh. 8.5 - Prob. 11PECh. 8.5 - Prob. 12PECh. 8.5 - Prob. 13PECh. 8.5 - Prob. 14PECh. 8.5 - Prob. 15PECh. 8.5 - Prob. 16PECh. 8.5 - Prob. 17PECh. 8.5 - Prob. 18PECh. 8.5 - Prob. 19PECh. 8.5 - Prob. 20PECh. 8.5 - Prob. 21PECh. 8.5 - Prob. 22PECh. 8.5 - Prob. 23PECh. 8.5 - Prob. 24PECh. 8.5 - Prob. 25PECh. 8.5 - Prob. 26PECh. 8.5 - Prob. 27PECh. 8.5 - Prob. 28PECh. 8.5 - Prob. 29PECh. 8.5 - Prob. 30PECh. 8.5 - Prob. 31PECh. 8.5 - Prob. 32PECh. 8.5 - In Exercises 29-36, use Cramer's Rule to solve...Ch. 8.5 - Prob. 34PECh. 8.5 - Prob. 35PECh. 8.5 - Prob. 36PECh. 8.5 - Prob. 37PECh. 8.5 - Prob. 38PECh. 8.5 - Prob. 39PECh. 8.5 - Prob. 40PECh. 8.5 - Prob. 41PECh. 8.5 - Prob. 42PECh. 8.5 - Prob. 43PECh. 8.5 - Prob. 44PECh. 8.5 - Prob. 45PECh. 8.5 - Prob. 46PECh. 8.5 - Prob. 47PECh. 8.5 - Prob. 48PECh. 8.5 - Prob. 49PECh. 8.5 - Prob. 50PECh. 8.5 - Prob. 51PECh. 8.5 - then the points ,and are collinear. If the...Ch. 8.5 - Prob. 53PECh. 8.5 - Prob. 54PECh. 8.5 - Prob. 55PECh. 8.5 - Prob. 56PECh. 8.5 - Prob. 57PECh. 8.5 - Prob. 58PECh. 8.5 - Prob. 59PECh. 8.5 - Prob. 60PECh. 8.5 - Prob. 61PECh. 8.5 - 62. If you could use only one method to solve...Ch. 8.5 - Use the feature of your graphing utility that...Ch. 8.5 - Prob. 64PECh. 8.5 - Prob. 65PECh. 8.5 - Prob. 66PECh. 8.5 - Prob. 67PECh. 8.5 - Prob. 68PECh. 8.5 - Prob. 69PECh. 8.5 - Prob. 70PECh. 8.5 - Prob. 71PECh. 8.5 - Prob. 72PECh. 8.5 - Prob. 73PECh. 8.5 - Prob. 74PECh. 8.5 - 75. Show that the equation of a line through and ...Ch. 8.5 - Prob. 76PECh. 8.5 - Prob. 77PECh. 8.5 - Prob. 78PECh. 8.5 - Prob. 79PECh. 8.5 - Prob. 80PECh. 8.5 - Prob. 81PECh. 8.5 - Prob. 82PECh. 8.5 - Prob. 83PECh. 8 - Prob. 1RECh. 8 - Prob. 2RECh. 8 - Prob. 3RECh. 8 - Prob. 4RECh. 8 - Prob. 5RECh. 8 - Prob. 6RECh. 8 - Prob. 7RECh. 8 - Prob. 8RECh. 8 - Prob. 9RECh. 8 - Prob. 10RECh. 8 - Prob. 11RECh. 8 - Prob. 12RECh. 8 - Prob. 13RECh. 8 - Prob. 14RECh. 8 - Prob. 15RECh. 8 - Prob. 16RECh. 8 - Prob. 17RECh. 8 - Prob. 18RECh. 8 - Prob. 19RECh. 8 - Prob. 20RECh. 8 - Prob. 21RECh. 8 - Prob. 22RECh. 8 - Prob. 23RECh. 8 - Prob. 24RECh. 8 - Prob. 25RECh. 8 - Prob. 26RECh. 8 - Prob. 27RECh. 8 - Prob. 28RECh. 8 - Prob. 29RECh. 8 - Prob. 30RECh. 8 - Prob. 31RECh. 8 - Prob. 32RECh. 8 - Prob. 33RECh. 8 - Prob. 34RECh. 8 - Prob. 35RECh. 8 - Prob. 36RECh. 8 - Prob. 37RECh. 8 - Prob. 38RECh. 8 - Prob. 39RECh. 8 - Prob. 40RECh. 8 - Prob. 41RECh. 8 - Prob. 42RECh. 8 - Prob. 43RECh. 8 - Prob. 44RECh. 8 - Prob. 45RECh. 8 - Prob. 46RECh. 8 - Prob. 47RECh. 8 - Prob. 48RECh. 8 - Prob. 49RECh. 8 - Prob. 50RECh. 8 - Prob. 51RECh. 8 - Prob. 52RECh. 8 - Prob. 53RECh. 8 - Prob. 54RECh. 8 - Prob. 55RECh. 8 - Prob. 56RECh. 8 - Prob. 1TCh. 8 - Prob. 2TCh. 8 - Prob. 3TCh. 8 - Prob. 4TCh. 8 - Prob. 5TCh. 8 - Prob. 6TCh. 8 - Prob. 7TCh. 8 - Prob. 8TCh. 8 - Prob. 9TCh. 8 - Prob. 10TCh. 8 - Prob. 1CRECh. 8 - Prob. 2CRECh. 8 - Prob. 3CRECh. 8 - Prob. 4CRECh. 8 - Solve each equation or inequality in Exercises...Ch. 8 - Prob. 6CRECh. 8 - Prob. 7CRECh. 8 - Prob. 8CRECh. 8 - Prob. 9CRECh. 8 - Prob. 10CRECh. 8 - Prob. 11CRECh. 8 - Prob. 12CRECh. 8 - Prob. 13CRECh. 8 - Prob. 14CRECh. 8 - Prob. 15CRECh. 8 - Prob. 16CRECh. 8 - Prob. 17CRECh. 8 - Prob. 18CRECh. 8 - Prob. 19CRECh. 8 - Prob. 20CRECh. 8 - Prob. 21CRECh. 8 - Prob. 22CRECh. 8 - Prob. 23CRECh. 8 - Prob. 24CRECh. 8 - Prob. 25CRE
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