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Compute forward and backward difference approximations of O(h) and O(h2), and central difference approximations of O(h2) and O(h4) for the first derivative of y=sinx at
Compute forward and backward difference approximations of O(h) and O(h2), and central difference approximations of O(h2) and O(h4) for the first derivative of y=sinx at x=/4 using a value of h=/12. Estimate the true percent relative error t for each approximation. (Round the final answers to five decimal places and the percent relative error to two decimal places.) The results are summarized as follows
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