QUESTION 1 Which one of the following methods for finding roots of nonlinear equ

Question

QUESTION 1 Which one of the following methods for finding roots of nonlinear equations is likely to diverge? False-position method Bisection method Secant methoo Incremental search method QUESTION 2 If one root of a real and continuous function, f(x)=0, is bounded by values x=x1, x-xu then ·f(x) 0 xl. xu0 f(xl). f(xu)0 f(xl)> 0 and f(xu)0 QUESTION 3 To find an approximation to the cubic root of a real number p, the following iteration is used: xi+,-xi- Which of the following methods is used in the above iteration? (xi, p)(xi-1-xi) / (xi-r·xi, with an initial guesses XO-p/3 and xl = p/4. Newton-Raphson O Incremental search Fixed-point iteration O Secant method

Explanation / Answer

As per Chegg Q&A guidelines whenever there are multiple questions we have to answer the very first question only

1.Answer is secant method

Because all other methods converge in case of finding roots of nonlinear equations

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