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Use a calculator to compute the first 10 iterations of Newton's method when applied to the function with the given initial approximation. Round to six decimal places. f(x) = 3x- cos x, X = 1 0 1.000000 0 1.000000 0 1.000000 0 1.000000 1 0.359699 10.469821 2 0.421897 1 1.559699 1 0.559699 2 0.517112 2 0.317010 2 1.517112 3 1.516751 30.516751 3 0.396478 3 0.316751 4 0.374126 40.316751 4 0.516751 5 0.516751 6 0.516751 4 1516751 50.316751 50.355412 6 0.355411 5 1516751 6 1.516751 7 1516751 8 1.516751 9 1516751 6 0.316751 7 0.316751 8 0.316751 9 0.316751 7 0.516751 7 0.355411 80516751 8 0.355411 9 0.516751 9 0.355411 10 1.516751 10 0.516751 10 0.355411 10 0.316751 Click to select your answer

Use a calculator to compute the first 10 iterations of Newton's method when applied to the function with the given initial approximation. Round to six decimal places. f(x) = 3x- cos x, X = 1 0 1.000000 0 1.000000 0 1.000000 0 1.000000 1 0.359699 10.469821 2 0.421897 1 1.559699 1 0.559699 2 0.517112 2 0.317010 2 1.517112 3 1.516751 30.516751 3 0.396478 3 0.316751 4 0.374126 40.316751 4 0.516751 5 0.516751 6 0.516751 4 1516751 50.316751 50.355412 6 0.355411 5 1516751 6 1.516751 7 1516751 8 1.516751 9 1516751 6 0.316751 7 0.316751 8 0.316751 9 0.316751 7 0.516751 7 0.355411 80516751 8 0.355411 9 0.516751 9 0.355411 10 1.516751 10 0.516751 10 0.355411 10 0.316751 Click to select your answer

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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Use a calculator to compute the first 10 iterations of Newton's method when applied to the function with the given initial approximation. Round to six decimal places. f(x) = 3x- cos x, Xg = 1 n 0 1.000000 1 0.359699 0 1.000000 0 1.000000 0 1.000000 10.469821 10.559699 1 1.559699 2 0.317010 2 0.421897 3 0.396478 4 0.374126 2 0.517112 2 1.517112 3 1.516751 4 1.516751 5 1.516751 3 0.316751 3 0.516751 4 0.316751 40.516751 5 0.316751 50.516751 5 0.355412 6 0.316751 7 0.316751 6 0.355411 6 1.516751 7 1516751 6 0.516751 7 0.516751 7 0.355411 8 0.316751 8 0.355411 9 0.355411 8 1.516751 8 0.516751 9 0.316751 90.516751 9 1.516751 10 0.316751 10 0.355411 10 0.516751 10 1.516751 Click to select your answer
Transcribed Image Text:Use a calculator to compute the first 10 iterations of Newton's method when applied to the function with the given initial approximation. Round to six decimal places. f(x) = 3x- cos x, Xg = 1 n 0 1.000000 1 0.359699 0 1.000000 0 1.000000 0 1.000000 10.469821 10.559699 1 1.559699 2 0.317010 2 0.421897 3 0.396478 4 0.374126 2 0.517112 2 1.517112 3 1.516751 4 1.516751 5 1.516751 3 0.316751 3 0.516751 4 0.316751 40.516751 5 0.316751 50.516751 5 0.355412 6 0.316751 7 0.316751 6 0.355411 6 1.516751 7 1516751 6 0.516751 7 0.516751 7 0.355411 8 0.316751 8 0.355411 9 0.355411 8 1.516751 8 0.516751 9 0.316751 90.516751 9 1.516751 10 0.316751 10 0.355411 10 0.516751 10 1.516751 Click to select your answer
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