Given the following nonlinear equation e-(a-1) – cos(r+ 1) = 0.1. i. Verify that there exists at least a real root in the interval (6,8). ii. Then, use the bisection method to approximate the root of the equation. Iterate until |f(c,) < 0.005.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1.
Given the following nonlinear equation
1) – cos(r +1) = 0.1.
i. Verify that there exists at least a real root in the interval [6,8].
e-(a-1)
ii. Then, use the bisection method to approximate the root of the
equation. Iterate until |f(c,)| < 0.005.
Transcribed Image Text:1. Given the following nonlinear equation 1) – cos(r +1) = 0.1. i. Verify that there exists at least a real root in the interval [6,8]. e-(a-1) ii. Then, use the bisection method to approximate the root of the equation. Iterate until |f(c,)| < 0.005.
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