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M- 05. Determine the positive root of the polynomial x + 0.6x² + 5.6x – 4.8. a. Plot the polynomial and choose a point near the root for the first estimate of the solution. Using Newton's method, determine the approximate solution in the first four iterations. b. From the plot in part (a), choose two points near the root to start the solution process with the secant method. Determine the approximate solution in the first four iterations.

M- 05. Determine the positive root of the polynomial x + 0.6x² + 5.6x – 4.8. a. Plot the polynomial and choose a point near the root for the first estimate of the solution. Using Newton's method, determine the approximate solution in the first four iterations. b. From the plot in part (a), choose two points near the root to start the solution process with the secant method. Determine the approximate solution in the first four iterations.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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M- 05. Determine the positive root of the polynomial x³ + 0.6x² + 5.6x – 4.8. a. Plot the polynomial and choose a point near the root for the first estimate of the solution. Using Newton's method, determine the approximate solution in the first four iterations. b. From the plot in part (a), choose two points near the root to start the solution process with the secant method. Determine the approximate solution in the first four iterations.
Transcribed Image Text:M- 05. Determine the positive root of the polynomial x³ + 0.6x² + 5.6x – 4.8. a. Plot the polynomial and choose a point near the root for the first estimate of the solution. Using Newton's method, determine the approximate solution in the first four iterations. b. From the plot in part (a), choose two points near the root to start the solution process with the secant method. Determine the approximate solution in the first four iterations.
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