Practice Introduction to Numerical Methods for Solving Equations - 2.1 | 2. Numerical Solutions of Algebraic and Transcendental Equations | Numerical Techniques
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a root of an equation?

πŸ’‘ Hint: Think about the values that make f(x) = 0.

Question 2

Easy

Name one numerical method for solving equations.

πŸ’‘ Hint: It's a method that requires an interval.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does the Bisection Method require?

  • An initial guess
  • An interval with opposite signs
  • Function derivatives

πŸ’‘ Hint: What do we look for in the endpoints of the interval?

Question 2

True or False: The Newton-Raphson method can converge quickly when starting close to the root.

  • True
  • False

πŸ’‘ Hint: What helps the Newton-Raphson method?

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Using the Newton-Raphson method, find the root of f(x) = x^2 - 2, starting from x0 = 1.

πŸ’‘ Hint: Remember to use the derivative correctly.

Question 2

Demonstrate the Secant Method on f(x) = x^2 - 4 with x0 = 1 and x1 = 3, calculate two iterations.

πŸ’‘ Hint: Make sure you properly apply the formula for the secant method.

Challenge and get performance evaluation