Question: 3. Root problem. (25 marks) Find the root of e' = x' in the range of [0:3] with = 1%. (1) Provide two initial guesses

3. Root problem. (25 marks) Find the root of e' =

3. Root problem. (25 marks) Find the root of e' = x' in the range of [0:3] with = 1%. (1) Provide two initial guesses for the bisection method. Please ensure that the absolute error is not larger than 0.01 and the iteration number not greater than 6 (Be creative!!). (5 marks) (2) Find the root with the bisection method using your initial guesses above. Show your steps carefully and summarize your results in a table similar to the below. (10 marks) Iteration E (%) XL Xr (3) Find the root with the Newton-Raphson method. Choose initial guess(es) on your own. Show your calculations carefully and summarize your data in a table similar to the below. (10 marks) Iteration . (%)

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