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{"ops":[{"insert":"Consider now the function f(x) = x^4-2x^3\u2212 12x^2 + 16x \u2212 4 which has four distinct roots."},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"Question 10"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"Choose the appropriate option:"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"(1) The secant method and Muller\u2019s method are similar in the sense that they both start with two"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"points. "},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"(2) The regula falsi and the secant methods are the same and convergence for the regula falsi is"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"guaranteed because the next approximation is bracketed."},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"(3) Muller\u2019s method determines the next approximation by considering the intersection of a parabola"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"and the x-axis through three given points."},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"(4) Statements (2) and (3) are correct."},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"(5) none of the above statements"},{"insert":"\n"}]}

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