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Here are the steps to solve this practice problem: 1) Find the Taylor polynomial P(x) of order 4 for the function f(x) = e^x about x0 = 0: P(x) = 1 + x + x^2/2 + x^3/6 + x^4/24 2) Integrate P(x) from 0 to 1/4: p^ = P(1/4) = 0.2553074609 3) Compute the absolute error: A.E. = p - p^ = 3.833×10^-7 4) Compute the relative error: R.E. = A.E./p

Author

syed Minhaj uddin

Language

EN