2 - Numerical Solutions of Algebraic and Transcendental Equations
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Practice Questions
Test your understanding with targeted questions
What is the Bisection Method?
💡 Hint: Think about how you narrow down your guess.
Define the Newton-Raphson Method.
💡 Hint: Consider how it improves a guess.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the Bisection Method guarantee?
💡 Hint: Remember the conditions for it to work.
Is the Secant Method derivative-free?
💡 Hint: Think about what it uses instead.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Using the Newton-Raphson Method, determine the root of f(x) = x^3 - 2x - 5 starting from x0 = 2.
💡 Hint: Don't forget to calculate the derivative f'(x) = 3x^2 - 2.
Implement the Fixed-Point Iteration method to find the root of x = cos(x) starting with x0 = 0.5. What challenges might arise?
💡 Hint: Consider if the function g(x) = cos(x) supports fixed-point constrains.
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