Bisection To find a solution to f(x) = 0 given the continuous function f on the interval [a, b], where f(a) and (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 Set i = 1; FA = f(a). Step 2 While i ≤No do Steps 3-6. Step 3 Set p = a+ (b − a)/2; (Compute pi.) FP = f(p). Step 4 If FP = 0 or (ba)/2 < TOL then OUTPUT (p); (Procedure completed successfully.) STOP. Step 5 Seti = i +1. Step 6 If FA FP > 0 then set a = p; (Compute a;, bi.) FA = FP else set b = p. (FA is unchanged.) Step 7 OUTPUT ('Method failed after No iterations, No =', No); (The procedure was unsuccessful.) STOP. 1. Use the Bisection method to find p3 for f(x) = √x cos x = 0 on [0, 1].