Answer to Question #332126 in Algorithms for Jaguar

Question #332126

(For Questions 6 to 7 )


Consider the nonlinear equation sin x − e


−x = 0, which has a roots in the intervals [0, 1], [3, 4] and


[6, 7].



Question 7


Consider again the nonlinear equation sin x − e


−x = 0. Applying the regula falsi method, with


starting point p0 = 3 and p1 = 4 and a tolerance of 10−5 yields the following result :



(1) 0.589117 after at least three iterations



(2) 0.588641 after at most three iteration



(3) The method does not converge to a solution.



(4) 3.096308 after exactly three iterations



(5) None of the above is true.


Consider now the function f(x) = x


4 − 2x


3 − 12x


2 + 16x − 4 which has four distinct roots.

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