![]() ![]() F_xa = SIN(a) f_xb = SIN(b) f_xm = SIN(m) IF (ABS(m) 0) THEN a= m ELSE IF (f_xa*f_xm. The attempt at a solution program bisec IMPLICIT NONE REAL:: a, b, m, f_xa, f_xb, f_xm WRITE (*,*) 'Please enter the interval :' READ (*,*) a,b DO!WHILE (ABS(m) >1E-7) m = (a + b)/2. The intervals are input by the user, and then the do loop continues until the condition (m becomes very close to 0 or equals 0) is met. The problem statement, all variables and given/known data The purpose of this program is to calculate the approximate roots of the Sine function on given intervals. ![]() In the following table, each line/entry contains the program file name, the page number where it can be found in the textbook, and a brief description. ![]() Lagrange interpolation with the Aitken method (appeared in the book). This method is used to find root of an equation in a given interval that is value of ‘x’ for which f(x) = 0. What is Bisection Method? The method is also called the interval halving method, the binary search method or the dichotomy method. ![]()
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