5.1.2.1 - Types of Equations
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Practice Questions
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Define an algebraic equation.
💡 Hint: Think of simple math expressions.
What is the Bisection Method?
💡 Hint: Recall the interval where the function changes signs.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What type of equation includes polynomial expressions?
💡 Hint: Think about basic algebra.
The Newton-Raphson Method requires knowledge of what?
💡 Hint: What do you need to draw a tangent line?
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Challenge Problems
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Solve the transcendental equation sin(x) = 0.5 using the Newton-Raphson method starting with an initial guess of x = 0.5.
💡 Hint: Remember to update using: `x_{n+1} = x_n - f(x_n) / f'(x_n)`.
Create a practical example where you might encounter a transcendental equation in a real-world engineering scenario, and outline the necessary numerical method to solve it.
💡 Hint: Identify the rearrangement of the equation you could use.
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