Q2: Use bisection method to determining the root of x³ - 10 = 0 .Assume that the root lies between1 and 3, determine in the first iteration the values of c,f(a), f(c) and the values of a and b to be usedin the second iteration. Perform 5 iterations.

The given function is f(x)=x3-10. Given: Root lies between 1 and 3. To find: The approximated root…

Answered: Q2: Use bisection method to determining…

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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Find the roots of the equation by: (the < 0.001) error f(x) = x* – 3x2 +x + 1 a) Bisection method. b) False position method.
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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.
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17) Find Possible Positive, Negative or Imaginary Zeros. f(x)= x³2x²-5x + 6 Count the number of sign changes. Positive Sign Changes = Find f(-x) = (-x)³ -2(-x)²-5(-x)+6 simplify Count the number of sign changes. Negative Sign Changes = Types of Positive Negative Imaginary (Pairs) Roots Roots Roots Since f(x) has 3 total roots 87
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Determine the first root of: f (x) = –13 – 20x + 19x2 – 3x³ using graphical method

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Q2: Use bisection method to determining the root of x³ - 10 = 0 .Assume that the root lies between 1 and 3, determine in the first iteration the values of c,f(a), f(c) and the values of a and b to be used in the second iteration. Perform 5 iterations.