The function f(x) = x³ + 6x² - 4x - 2 We want to find a positive root using secant method. a) Use x_₁ = 0 and x₁ = 1 as the initial guess and perform three iterations of the method. You must provide the updating formula of the method. b) Plot the function f(x) in the interval [-2,5] using MATLAB.Determine the value of the roots using the graghical method. Attach the gragh c) Show the first iteration on the graph in part (b). Clearly indicate the initial guesses x-1 and xo and the first approximation x₁ on the graph.
The function f(x) = x³ + 6x² - 4x - 2 We want to find a positive root using secant method. a) Use x_₁ = 0 and x₁ = 1 as the initial guess and perform three iterations of the method. You must provide the updating formula of the method. b) Plot the function f(x) in the interval [-2,5] using MATLAB.Determine the value of the roots using the graghical method. Attach the gragh c) Show the first iteration on the graph in part (b). Clearly indicate the initial guesses x-1 and xo and the first approximation x₁ on the graph.
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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![Q3)
The function
f(x) = x³ + 6x² - 4x − 2
We want to find a positive root using secant method.
a) Use x_₁ = 0 and xo = 1 as the initial guess and perform three iterations of the
method. You must provide the updating formula of the method.
b) Plot the function f(x) in the interval [-2,5] using MATLAB.Determine the value of
the roots using the graghical method. Attach the gragh
c) Show the first iteration on the graph in part (b). Clearly indicate the initial guesses
x-₁ and xo and the first approximation x₁ on the graph.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F429ffdfb-db8b-4178-8c86-86285a2be835%2F9b13c6e3-788f-4296-8305-664ee9e75c9d%2F4sz0gh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q3)
The function
f(x) = x³ + 6x² - 4x − 2
We want to find a positive root using secant method.
a) Use x_₁ = 0 and xo = 1 as the initial guess and perform three iterations of the
method. You must provide the updating formula of the method.
b) Plot the function f(x) in the interval [-2,5] using MATLAB.Determine the value of
the roots using the graghical method. Attach the gragh
c) Show the first iteration on the graph in part (b). Clearly indicate the initial guesses
x-₁ and xo and the first approximation x₁ on the graph.
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