Question: MATLAB code please! Solve number 4.23 (4.8 is for reference) using the added directions in the last screenshot. 4.8) Use a centered difference approximation of

MATLAB code please!

Solve number 4.23 (4.8 is for reference) using the added directions in the last screenshot.

MATLAB code please! Solve number 4.23 (4.8 is for reference) using the

added directions in the last screenshot. 4.8) Use a centered difference approximation

of O(h ) to estimate the second derivative of the function examined

4.8) Use a centered difference approximation of O(h ) to estimate the second derivative of the function examined in Prob. 4.5. Perform the evaluation at

x =2 using step sizes of h =0.25 and 0.125. Compare your estimates with the true value of the second derivative. Interpret your results on the basis of the remainder term of the Taylor series expansion.

4.23)Repeat Example 4.8, but for the forward divided difference

--> On your plot of log(error) vs. log(h), include the results for the forward difference as well as the centered difference. Interpret the results in terms of (a) the tradeoff between roundoff error and truncation error, and (b) the differences in truncation error between the forward and centered approximations.

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4.8 Use a centered difference approximation of Oth) to estimate the second derivative of the function examined in Prob. 4.5. Per- form the evaluation at x = 2 using step sizes of h = 0.25 and 0.125 Compare your estimates with the true value of the second deriva- tive. Interpret your results on the basis of the remainder term of the Taylor series expansion. 4.23 Repeat Example 4.8, but for the forward divided ditference (Eq. 4.17). 4. Textbook problem 4.23. On your plot of log(error) vs. log(h), include the results for the forward difference as well as the centered difference, which we plotted in class. Interpret the results in terms of (a) the tradeoff between roundoff error and truncation error, and (b) the differences in truncation error between the forward and centered approximations

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