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Author Question: Let f(x) = e-x2 and let I = dx. Given that 12 for 0 x 1, what is the smallest value of n for ... (Read 27 times)

tfester

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Let  f(x) = e-x2 and let  I = dx. Given that ≤ 12 for 0 ≤  x ≤ 1,  what is the smallest value of  n  for which the Simpson's Rule approximation  I  ≈  S2n  will have error  less than 0.0005 in absolute value?  Hence, what is the value of  I  rounded to 3 decimal places?
◦ n = 4,  I  ≈  S8  ≈  0.747
◦ n = 2,  I  ≈  S4  ≈  0.747
◦ n = 3,  I  ≈  S6  ≈  0.747
◦ n = 1,  I  ≈  S2  ≈  0.747
◦ n = 3,  I  ≈  S8  ≈  0.747


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Marked as best answer by tfester on May 26, 2021

6ana001

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tfester

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Reply 2 on: May 26, 2021
YES! Correct, THANKS for helping me on my review


lcapri7

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Reply 3 on: Yesterday
Great answer, keep it coming :)

 

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