Question: please solve them all Q1. Use zero-through third-order Taylor series expansions to predict V15 using a base point at x = 2. Compute the true
Q1. Use zero-through third-order Taylor series expansions to predict V15 using a base point at x = 2. Compute the true percent relative error for each approximation. Comment on your results. [3 marks] Q2. Consider the function f(x) = e* - 2 with h = 0.65. Use the forward, backward, and centered finite difference approximations to calculate f'(5). For each approximation, determine the let) and comment on your results. [3 marks) Q3. Develop a well-structured MATLAB function to compute the Maclaurin series expansion for the tan inverse function. Starting with the simplest version, tan- x = x, add terms one at a time to estimate tan? (1/4). After each new term is added, compute the true and approximate percent relative errors. Add terms until the absolute value of the approximate error estimate falls below an error criterion conforming to three significant figures. [4 marks)
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