Consider now the function f(x) = x^4-2x^3− 12x^2 + 16x − 4 which has four distinct roots.
Question 10
Choose the appropriate option:
(1) The secant method and Muller’s method are similar in the sense that they both start with two
points.
(2) The regula falsi and the secant methods are the same and convergence for the regula falsi is
guaranteed because the next approximation is bracketed.
(3) Muller’s method determines the next approximation by considering the intersection of a parabola
and the x-axis through three given points.
(4) Statements (2) and (3) are correct.
(5) none of the above statements
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