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.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 27PT: Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and...
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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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