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2 cards from this section. Quick, good the night before a test.
Define an algebraic equation and provide an example.
Think of simple polynomial forms.
What is the Bisection Method?
Consider the process of dividing an interval where a function changes sign.
What is a characteristic of transcendental equations?
Consider functions outside simple algebra.
True or False: The Bisection Method always converges.
Think about what conditions are necessary for a method.
Using the Newton-Raphson method, approximate the root of the equation x^3 - 2x - 5 = 0, starting with an initial guess of x0=2.
Calculate f(x) and f'(x) and apply the Newton-Raphson formula.
Find the root of the equation sin(x) = 0.5 using the Secant Method with initial guesses x0 = 0.5 and x1 = 1.
Use initial guesses to establish a pattern of convergence.
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