Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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For \(0 \leq x \leq 1\), \(y(x) = 3e^x - 5\)

Use the **Bisection Method** to look for a root of the equation. Begin with values of \(x_l = 0.5\) and \(x_r = 0.8\). Complete three iterations of the method by filling out the table below. Show your calculations.

| Iterations | \(x_l\) | \(x_r\) | \(x_c\) | \(f(x_r)\) | \(f(x_c)\) |
|------------|---------|---------|---------|------------|------------|
| 1          | 0.5     | 0.8     |         |            |            |
| 2          |         |         |         |            |            |
| 3          |         |         |         |            |            |
Transcribed Image Text:For \(0 \leq x \leq 1\), \(y(x) = 3e^x - 5\) Use the **Bisection Method** to look for a root of the equation. Begin with values of \(x_l = 0.5\) and \(x_r = 0.8\). Complete three iterations of the method by filling out the table below. Show your calculations. | Iterations | \(x_l\) | \(x_r\) | \(x_c\) | \(f(x_r)\) | \(f(x_c)\) | |------------|---------|---------|---------|------------|------------| | 1 | 0.5 | 0.8 | | | | | 2 | | | | | | | 3 | | | | | |
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