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5 cards from this section. Quick, good the night before a test.
What is required for the Bisection Method to work?
Think about the conditions of continuity and sign change.
In which method do you not need the derivative of the function?
Recall which methods require or do not require derivatives.
Which method requires two initial guesses?
Think about methods needing two values.
True or False: The Secant Method requires knowledge of the derivative of the function.
Recall the distinctive nature of the Secant Method.
Given the function f(x) = x^2 - 3, apply the Bisection Method to find the root between x = 1 and x = 2. Document each step.
Ensure you check the sign changes at each bounding step.
Derive an efficient way to estimate a root of f(x) = e^x - x using the Newton-Raphson method. Use an initial guess of 0.5.
Always evaluate f and f' accurately before each guess.
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