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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define an algebraic equation.
💡 Hint: Think of equations with x raised to whole number powers.
Question 2
Easy
What is the primary condition for the Bisection Method to work?
💡 Hint: Remember the sign change condition.
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 kind of equations can be solved using numerical methods?
- Only algebraic
- Only transcendental
- Both algebraic and transcendental
💡 Hint: Consider examples discussed in class.
Question 2
The Bisection Method can only be applied if:
- True
- False
💡 Hint: Think about the conditions for continuity.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Use the Newton-Raphson method to find the root of the equation f(x) = x^2 - 3 starting from an initial guess x₀ = 2. Show the calculations for three iterations.
💡 Hint: Calculate f(x) and its derivative at each iteration.
Question 2
Explain how you would use the Fixed Point Iteration to solve for x in the equation x = 2x - 1. Iterates from x₀ = 1 until convergence.
💡 Hint: Keep track of how the value changes each iteration.
Challenge and get performance evaluation