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5. Which of the following methods can be used to find root for f(x) = x2-3x + 2 which 0.5 is plotted below: A. Bisection method with initial guess interval of [0, 3] B. Secant method with initial guess interval of [0, 3]

5. Which of the following methods can be used to find root for f(x) = x2-3x + 2 which 0.5 is plotted below: A. Bisection method with initial guess interval of [0, 3] B. Secant method with initial guess interval of [0, 3]

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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5. Which of the following methods can be used to find root for f(x) = x2 – 3x + 2 which %3D 0.5 0.5 2.5 is plotted below: A. Bisection method with initial guess interval of [0, 3] B. Secant method with initial guess interval of [0, 3] C. False-position method with initial guess interval of [0, 3] D. Newton's method with x, = 1.5 E. Fixed point iteration, where g(x) = and xo = 3. F. Cannot be determined as (x) has complex roots. G. None of the above 6. Which of the following methods of finding roots of nonlinear equations falls under the category of bracketing methods A. Bisection and Newton. B. Secant and Newton C. Secant and False position. D. False position and Bisection. E. Fixed-point iteration and Newton. F. Secant and Fixed-point iteration. G. None of the above. 7. Suppose that 13/14 is approximated as 0.929, find the relative error, A. 4.6154 x 10-4 B. 4.2857 x 10-4 C. 4.6133 x 10-4 D. 2.1429 x 10-4 E. -4.6154 x 10-4 F. -4.2857 x 10-4 G. -2.1429 x 10-4 with explination please.
Transcribed Image Text:5. Which of the following methods can be used to find root for f(x) = x2 – 3x + 2 which %3D 0.5 0.5 2.5 is plotted below: A. Bisection method with initial guess interval of [0, 3] B. Secant method with initial guess interval of [0, 3] C. False-position method with initial guess interval of [0, 3] D. Newton's method with x, = 1.5 E. Fixed point iteration, where g(x) = and xo = 3. F. Cannot be determined as (x) has complex roots. G. None of the above 6. Which of the following methods of finding roots of nonlinear equations falls under the category of bracketing methods A. Bisection and Newton. B. Secant and Newton C. Secant and False position. D. False position and Bisection. E. Fixed-point iteration and Newton. F. Secant and Fixed-point iteration. G. None of the above. 7. Suppose that 13/14 is approximated as 0.929, find the relative error, A. 4.6154 x 10-4 B. 4.2857 x 10-4 C. 4.6133 x 10-4 D. 2.1429 x 10-4 E. -4.6154 x 10-4 F. -4.2857 x 10-4 G. -2.1429 x 10-4 with explination please.
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