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Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved
Sec 12.4 - 1
Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved
Sec 12.4 - 2
Nonlinear Functions,
Conic Sections,
and Nonlinear Systems
Chapter 12
Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved
Sec 12.4 - 3
12.4
Nonlinear Systems of Equations
Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 4
12.4 Nonlinear Systems of Equations
Objectives
1. Solve a nonlinear system by substitution.
2. Use the elimination method to solve a
system with two second-degree equations.
3. Solve a system that requires a
combination of methods.
Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 5
12.4 Nonlinear Systems of Equations
Solving Nonlinear Systems of Equations
Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 6
12.4 Nonlinear Systems of Equations
Solving Nonlinear Systems of Equations
Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 7
12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by Substitution
Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 8
12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by Substitution
Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 9
12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by Substitution
Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 10
12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by Substitution
Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 11
12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by Elimination
Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 12
12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by Elimination
Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 13
12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by Elimination
Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 14
12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by Elimination
Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 15
12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by Elimination
Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 16
12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by a Combination of Methods
Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 17
12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by a Combination of Methods
Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 18
12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by a Combination of Methods
Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 19
12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by a Combination of Methods
Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 20
12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by a Combination of Methods
Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 21
12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by a Combination of Methods
Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 22
12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by a Combination of Methods

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MAT1033.12.4.ppt

  • 1. Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved Sec 12.4 - 1
  • 2. Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved Sec 12.4 - 2 Nonlinear Functions, Conic Sections, and Nonlinear Systems Chapter 12
  • 3. Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved Sec 12.4 - 3 12.4 Nonlinear Systems of Equations
  • 4. Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 4 12.4 Nonlinear Systems of Equations Objectives 1. Solve a nonlinear system by substitution. 2. Use the elimination method to solve a system with two second-degree equations. 3. Solve a system that requires a combination of methods.
  • 5. Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 5 12.4 Nonlinear Systems of Equations Solving Nonlinear Systems of Equations
  • 6. Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 6 12.4 Nonlinear Systems of Equations Solving Nonlinear Systems of Equations
  • 7. Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 7 12.4 Nonlinear Systems of Equations Solve a Nonlinear System by Substitution
  • 8. Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 8 12.4 Nonlinear Systems of Equations Solve a Nonlinear System by Substitution
  • 9. Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 9 12.4 Nonlinear Systems of Equations Solve a Nonlinear System by Substitution
  • 10. Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 10 12.4 Nonlinear Systems of Equations Solve a Nonlinear System by Substitution
  • 11. Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 11 12.4 Nonlinear Systems of Equations Solve a Nonlinear System by Elimination
  • 12. Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 12 12.4 Nonlinear Systems of Equations Solve a Nonlinear System by Elimination
  • 13. Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 13 12.4 Nonlinear Systems of Equations Solve a Nonlinear System by Elimination
  • 14. Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 14 12.4 Nonlinear Systems of Equations Solve a Nonlinear System by Elimination
  • 15. Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 15 12.4 Nonlinear Systems of Equations Solve a Nonlinear System by Elimination
  • 16. Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 16 12.4 Nonlinear Systems of Equations Solve a Nonlinear System by a Combination of Methods
  • 17. Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 17 12.4 Nonlinear Systems of Equations Solve a Nonlinear System by a Combination of Methods
  • 18. Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 18 12.4 Nonlinear Systems of Equations Solve a Nonlinear System by a Combination of Methods
  • 19. Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 19 12.4 Nonlinear Systems of Equations Solve a Nonlinear System by a Combination of Methods
  • 20. Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 20 12.4 Nonlinear Systems of Equations Solve a Nonlinear System by a Combination of Methods
  • 21. Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 21 12.4 Nonlinear Systems of Equations Solve a Nonlinear System by a Combination of Methods
  • 22. Copyright ยฉ 2010 Pearson Education, Inc. All rights reserved. Sec 12.4 - 22 12.4 Nonlinear Systems of Equations Solve a Nonlinear System by a Combination of Methods