Bisection Method. §1: If the bisection method is used starting with the interval [2, 3], how many steps must be taken to compute a root with absolute accuracy < 10-6? Answer the same question for the relative accuacy.

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Chapter2: Second-order Linear Odes
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Bisection Method.
§1: If the bisection method is used starting with the interval [2, 3], how many steps must be
taken to compute a root with absolute accuracy < 10-6? Answer the same question for the
relative accuacy.
Newton's Method.
§2: Perform two iterations of Newton's method on this system,
4x² - x² = 0
4x1x² − x1 = 1
starting with (0,1).
Transcribed Image Text:Bisection Method. §1: If the bisection method is used starting with the interval [2, 3], how many steps must be taken to compute a root with absolute accuracy < 10-6? Answer the same question for the relative accuacy. Newton's Method. §2: Perform two iterations of Newton's method on this system, 4x² - x² = 0 4x1x² − x1 = 1 starting with (0,1).
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