Question: In Matlab R2019a 3. (20 Points) Using the Bisect and False Position functions, compute the roots of the function f(x) = -0.1 0.0025 cos(x) e3x

In Matlab R2019aIn Matlab R2019a 3. (20 Points) Using the Bisect and False Position

3. (20 Points) Using the Bisect and False Position functions, compute the roots of the function f(x) = -0.1 0.0025 cos(x) e3x and the number of iterations required as described below. Use an error tolerance of 0.001%. Hint: Modify your functions to include the number of iterations as an output to the functions. Plot the function between 0 and 5. a. b. Compute the root between 0 and 4 for both methods. Display a table in the command window with the following columns: Method, Root, and Iterations. Display the root with 10 decimal places. Just above the table, use an fprintf statement to display a statement such as: "Using 0 and 4 as the bounds". After the table, explain the difference in the number of iterations between the two methods (use fprintf statement). c. Create the table again but use 4 and 5 as the bounds. After the table, explain the difference in the number of iterations between part b and c for the False Position method (use fprintf statement). d. Plot all solutions (on the plot from part a) using: Bisection part b: a red asterisk Bisection part c: green asterisk False Position part b: a red square False Position part c: a green square M4. 3. (20 Points) Using the Bisect and False Position functions, compute the roots of the function f(x) = -0.1 0.0025 cos(x) e3x and the number of iterations required as described below. Use an error tolerance of 0.001%. Hint: Modify your functions to include the number of iterations as an output to the functions. Plot the function between 0 and 5. a. b. Compute the root between 0 and 4 for both methods. Display a table in the command window with the following columns: Method, Root, and Iterations. Display the root with 10 decimal places. Just above the table, use an fprintf statement to display a statement such as: "Using 0 and 4 as the bounds". After the table, explain the difference in the number of iterations between the two methods (use fprintf statement). c. Create the table again but use 4 and 5 as the bounds. After the table, explain the difference in the number of iterations between part b and c for the False Position method (use fprintf statement). d. Plot all solutions (on the plot from part a) using: Bisection part b: a red asterisk Bisection part c: green asterisk False Position part b: a red square False Position part c: a green square M4

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