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For the system fi(x) = 10 x1 sin x2 + 2 = 0 f2(x) = 10 (x1)² - 10 xị cos x2 +1 = 0 a. Using the Newton-Raphson method, determine the values of x1 and x2 after the second iteration. Use x1 = 1, x2 = 0 as an initial guess. b. Is x1 = 0.5, X2 = 0 a good initial guess? Why or why not.

For the system fi(x) = 10 x1 sin x2 + 2 = 0 f2(x) = 10 (x1)² - 10 xị cos x2 +1 = 0 a. Using the Newton-Raphson method, determine the values of x1 and x2 after the second iteration. Use x1 = 1, x2 = 0 as an initial guess. b. Is x1 = 0.5, X2 = 0 a good initial guess? Why or why not.

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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For the system fi(x) = 10 xị sin x2 + 2 = 0 f2(x) = 10 (x1)² - 10 x1 cos x2 +1 = 0 a. Using the Newton-Raphson method, determine the values of x1 and x2 after the second iteration. Use x1 = 1, x2 = 0 as an initial guess. b. Is x1 = 0.5, X2 = 0 a good initial guess? Why or why not. %3D
Transcribed Image Text:For the system fi(x) = 10 xị sin x2 + 2 = 0 f2(x) = 10 (x1)² - 10 x1 cos x2 +1 = 0 a. Using the Newton-Raphson method, determine the values of x1 and x2 after the second iteration. Use x1 = 1, x2 = 0 as an initial guess. b. Is x1 = 0.5, X2 = 0 a good initial guess? Why or why not. %3D
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