First set of correct answers will get full rating! Thanks! Use the Trapezoidal R
ID: 3341962 • Letter: F
Question
First set of correct answers will get full rating! Thanks!
Use the Trapezoidal Rule, with n = 5. to approximate the integral T 5 = -1.074003737 The actual value of The error involved in the approximation of part (a) is The second derivative f" (x) The value of K = max |f"(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 Tn to the integral is guaranteed to be accurate to within 0.001.Explanation / Answer
(b) 1.5[sin(4)] = -1.13520374296
(c) -0.0612
(d) -96cos(4x), 96
(e) 96(1)^3/(12*25) = 0.32
(f) 96/(12n^2) < 0.001 so 8/n^2 < 1/1000 so n^2 > 8000 so n > 89.44, so n = 90 is the answer
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