First set of correct answers will get full rating! Thanks! Use Simpson\'s Rule,
ID: 3341963 • Letter: F
Question
First set of correct answers will get full rating! Thanks!
Use Simpson's Rule, with n = 6. to approximate the integral s65 = 2.21791102 The actual value of The error involved in the approximation of part (a) is The fourth derivative f4 (x) The value of K = max |f4(x)|on the interval [0. 1] = Find a sharp upper bound for the error in the approximation of part (a) using the Error Bound Formula Find the smallest number of partitions n so that the approximation sn to the integral is guaranteed to be accurate to within 0.001.Explanation / Answer
(b) 7/3 - 7/(3e^3) = 2.21716
(c) -0.00074751
(d) 567e^(-3x), 567
(e) 567/(180*6^4) = 0.00243055555
(f) 567/(180*n^4) < 0.0001 so n^4 > 31500 so n > 13.3 so n = 14.
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