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03- 2. Find the positive real root of f(x) = x* – 8x – 35x² + 450x – 1001 using the false-position method. Use initial guesses of x = 4.5 and xu = 6 and perform five iterations. Compute both the true and approximate errors based on the fact that the root is 5.60979. Use a plot to explain your results and perform the computation to within ɛs = 1.0%. %3D

03- 2. Find the positive real root of f(x) = x* – 8x – 35x² + 450x – 1001 using the false-position method. Use initial guesses of x = 4.5 and xu = 6 and perform five iterations. Compute both the true and approximate errors based on the fact that the root is 5.60979. Use a plot to explain your results and perform the computation to within ɛs = 1.0%. %3D

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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03 - 2. Find the positive real root of f(x) = x* – 8x³ – 35x² + 450x – 1001 using the false-position method. Use initial guesses of x = 4.5 and xu = 6 and perform five iterations. Compute both the true and approximate errors based on the fact that the root is 5.60979. Use a plot to explain your results and perform the computation to within ɛs = 1.0%. %3D
Transcribed Image Text:03 - 2. Find the positive real root of f(x) = x* – 8x³ – 35x² + 450x – 1001 using the false-position method. Use initial guesses of x = 4.5 and xu = 6 and perform five iterations. Compute both the true and approximate errors based on the fact that the root is 5.60979. Use a plot to explain your results and perform the computation to within ɛs = 1.0%. %3D
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