Advanced Engineering Mathematics
6th Edition
ISBN: 9781284105902
Author: Dennis G. Zill
Publisher: Jones & Bartlett Learning
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In Problems 19–56, solve each system of equations. If the system has no solution, say that it is inconsistent. For Problems 19–30, graphthe lines of the system
In Problems 57–68, solve each equation in the real number system.
57. x* - x + 2x?
- 4x - 8 = 0
58. 2x + 3x? + 2x + 3 = 0
59. 3x + 4x? - 7x + 2 = 0
60. 2x – 3x –- 3x – 5 = 0
234
CHAPTER 4 Polynomial and Rational Functions
61. 3x – x? - 15x + 5 = 0
62. 2x - 11x² + 10x + 8 = 0
63. x* + 4x + 2r? - x + 6 = 0
64. x* - 2x + 10x?
- 1&r + 9 == (0
8
+x +1 = 0
65. x
66. х +
+ 3x - 2 = 0
67. 2x - 19x + 57x - 64x + 20 = 0
68. 2x + x - 24x + 20x + 16 = 0
5.
By using the matrix methods to solve the following linear system:
I1 + 12 – 13 = 5, 3r1 +x2 – 2r3 = -4,
-I1 + 12 - 2r3 = 3;
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- Problems 74–77 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. 74. To graph g(x) = |x + 2| – 3, shift the graph of f(x) = \x| units 76. Solve: logs (x + 3) = 2 units and then 77. Solve the given system using matrices. number Teft/right| number up/down Зх + у + 2z %3 1 75. Find the rectangular coordinates of the point whose polar 2x – 2y + 5z = 5 x + 3y + 2z = -9 coordinates are ( 6, 3arrow_forwardSolve each system in Exercises 1–4 by using elementary rowoperations on the equations or on the augmented matrix. Followthe systematic elimination procedure described in this section.. x1 + 5x2 =7 - 2x1- 7x2 = -5arrow_forward6. Use Cramer’s Rule to solve for x3 of the linear system 2x1 + x2 + x3 = 63x1 + 2x2 − 2x3 = −2x1 + x2 + 2x3 = −4arrow_forward
- 1. Use Cramer's rule to solve the following system: 2x₁2x₂ + 3x3 = 0 x₁ + 2x₂ + 3x3 = 8 -2x₁ + 4x₂ + x3 = 6arrow_forward1. Solve the following system of equations using cramer's rule -3x+2y-6z = 6 5x+7y-5z = 6 x+4y-2z = 8arrow_forward2. Find the solution set to the following system of linear equations using Gauss-Jordan elimination. (2.x1 + 7x2 – 12.x3 = -9 x1 + 2x2 – 3.x3 = 0 3x1 + 5x2 – 7x3 = 3 - Determine the rank of the coefficient matrix and the augmented matrix.arrow_forward
- In Exercises 11–14, solve the systems of equations in Z7.arrow_forwardHow can the following problem be solved?arrow_forwardIn Problems 1–6, use ZERO (or ROOT) to approximate the smaller of the two x-intercepts of each equation. Express the answer rounded to two decimal places. 1. y = x? + 4x + 2 4. y = 3x? + 5x + 1 2. y = x? + 4x – 3 3. y = 2x? + 4x + 1 5. y = 2r – 3x – 1 6. y = 2x? – 4x – 1arrow_forward
- 1. Solve the following system of linear equations by Cramer's Rule, Gauss- Elimination, and Gauss-Jordan X1 + X2 + X3 = 5 X1 + 2X2 +2X3 = 6 X1 + 2X2 + 3X3 = 8arrow_forward1. Use Cramer's rule to solve the following systems X1 + 3x2 -5 а. 2x1 – x2 4 2.x1 + 3x2 + x3 b. 4.x1 + 7x2 + 5x3 8 20 -2x2 + 2x3 I| ||||arrow_forward
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