Answer to Question #332126 in Algorithms for Jaguar

Question

(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.

Answer 1

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