Find the positive real root of f(x) = x4 - 8x3 - 35x2 + 450x - 1001 using the false-position method. Use initial guesses of xl = 4.5 and xu = 6 and performs 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 es = 1.0%. *
Find the positive real root of f(x) = x4 - 8x3 - 35x2 + 450x - 1001 using the false-position method. Use initial guesses of xl = 4.5 and xu = 6 and performs 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 es = 1.0%. *
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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![QUESTION
Find the positive real root of f(x) = x4 - 8x3 - 35x2 + 450x - 1001 using the false-position
method. Use initial guesses of xl = 4.5 and xu = 6 and performs 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 es = 1.0%. Xir](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb04ae08a-9b79-4b88-b1ed-78284b1e193e%2F4f9e7835-4f0b-4fbd-8624-ca4ad95dc855%2F3i2gjjm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:QUESTION
Find the positive real root of f(x) = x4 - 8x3 - 35x2 + 450x - 1001 using the false-position
method. Use initial guesses of xl = 4.5 and xu = 6 and performs 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 es = 1.0%. Xir
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