Newton-Raphson Method for Nonlinear Systems of Equations


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What kind of solution method uses a guess at the solution and then makes refinements until a solution is reached?

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1. To write the equation x^2 + 2xy = 5 in a form suitable for the Newton-Raphson method, we write

2. What is the partial derivative of x^3 - 3xy with respect to y?

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About This Quiz & Worksheet

This quiz and worksheet gives you the chance to assess what you know about the Newton-Raphson method for solving nonlinear systems of equations. You will need to know the steps of this method and how it works to complete these practice questions.

Quiz & Worksheet Goals

You can access this quiz when you're ready to measure your ability to answer questions about:

  • Solution methods
  • Partial derivatives
  • How to check a solution found with the Newton-Raphson method

Skills Practiced

Our practice question will help you work on these skills:

  • Reading comprehension - ensure that you draw the most important information from the related lesson about the Newton-Raphson method
  • Knowledge application - use your knowledge to identify the equation form suitable for using the Newton-Raphson method
  • Interpreting information - verify that you can read information regarding the matrix containing partial derivatives and interpret it correctly

Additional Learning

This subject is discussed in greater detail in the lesson entitled Newton-Raphson Method for Nonlinear Systems of Equations. You can study this lesson to learn more about:

  • How to prepare for the Newton-Raphson method
  • Uses of calculus and linear algebra
  • The steps involved in the Newton-Raphson method