Question
By hand using at least 5 significant digits find the solution z to the following equation r sin x e 1 where z is in
By hand using at least 5 significant digits find the solution z to the following equation r sin x e 1 where z is in radians Use 2 iterations of the bisection method with a starting interval of 0 3 Report the tolerance in function the estimated relative error and the tolerance in solution for the solution estimate after each iteration 3 f x x sin x e 0 Check initial infoval 9 6 0 3 f a f 0 0 sin 0 e 1 6 f 3 3 sin 3 e 6 779393 f a f b o X 26 013 1 5 f x 1 5 sin 15 e 2 10413405 Xp 3 f a f x 1 2 104 0 x 1 5 1 5 3 f a 2 10418105 1 4 x 2 5 1 513 2 25 f x 5 2 25 sin 2 25 2 1 124071579 dol fue f x 1 12 48159 tol sol 2 ere s XV 3 1 5 2 el Xys 1 0 75 12 25 1 5 0 0 33 1 Find interval a b such that f a f b 0 2 Calculate initial guess midpoint error measure 3 Update interval to either axs or xs b by checking sign of f a f xs 0 a 0 b 4 Update solution midpoint error measure while error errorok 33
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