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Write a Java program that has the following inputs and outputs: Bisection To find a solution to f(x)0 given the continuous function f on the
Write a Java program that has the following inputs and outputs:
Bisection To find a solution to f(x)0 given the continuous function f on the interval [a, b], where f(a) and f (b) have opposite signs: INPUT endpoints a, b; tolerance TOL; maximum number of iterations No OUTPUT approximate solution p or message of failure. Step 1 Seti FA= f(a). Step 2 While i No do Steps 3-6. Step 3 Set p a(b - a/2: (Compute p.) FP = f(p). Step 4 If FP = 0 or (b-a)/2 0 then set a = p; (Compute ai, bi.) else set b p. (FA is unchanged.) Step 7 OUTPUT ('Method failed after No iterations, No ' No: FA = FP (The procedure was unsuccessful.) STOP Bisection To find a solution to f(x)0 given the continuous function f on the interval [a, b], where f(a) and f (b) have opposite signs: INPUT endpoints a, b; tolerance TOL; maximum number of iterations No OUTPUT approximate solution p or message of failure. Step 1 Seti FA= f(a). Step 2 While i No do Steps 3-6. Step 3 Set p a(b - a/2: (Compute p.) FP = f(p). Step 4 If FP = 0 or (b-a)/2 0 then set a = p; (Compute ai, bi.) else set b p. (FA is unchanged.) Step 7 OUTPUT ('Method failed after No iterations, No ' No: FA = FP (The procedure was unsuccessful.) STOP
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