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Author Question: Apply Simpson's Rule with n = 2 to approximate I =dx. What is the actual error in this ... (Read 71 times)

fasfsadfdsfa

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on: May 26, 2021

Question 1

The following table gives values of an unknown function  f(x)  determined by experimental measurement. Find the best  Simpson's Rule  approximation you can for dx based on the values given in the table.

xf(x)
2.001.052
2.251.042
2.501.034
2.751.026
3.001.020
3.251.016
3.501.012
3.751.010
4.001.008

◦ S8  ≈  2.0480
◦ S8  ≈  2.0473
◦ S8  ≈  2.0468
◦ S8  ≈  2.0465
◦ S8  ≈  2.0477

Question 2

Apply Simpson's Rule with n = 2 to approximate  I  =dx. What is the actual error in this approximation? What does the Simpson's Rule error estimate give as an upper bound for the size of the error?
◦ S2 = ,  I - S2 = - ,  estimate gives   ≤
◦ S2 = ,  I - S2 = - ,  estimate gives   ≤
◦ S2 = ,  I - S2 = ,  estimate gives   ≤
◦ S2 = ,  I - S2 = - ,  estimate gives   ≤
◦ S2 = ,  I - S2 = 0,  estimate gives   ≤
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Marked as best answer by fasfsadfdsfa on May 26, 2021

Kjones0604

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Reply #1 on: May 26, 2021
Lorsum iprem. Lorsus sur ipci. Lorsem sur iprem. Lorsum sur ipdi, lorsem sur ipci. Lorsum sur iprium, valum sur ipci et, vala sur ipci. Lorsem sur ipci, lorsa sur iprem. Valus sur ipdi. Lorsus sur iprium nunc, valem sur iprium. Valem sur ipdi. Lorsa sur iprium. Lorsum sur iprium. Valem sur ipdi. Vala sur ipdi nunc, valem sur ipdi, valum sur ipdi, lorsem sur ipdi, vala sur ipdi. Valem sur iprem nunc, lorsa sur iprium. Valum sur ipdi et, lorsus sur ipci. Valem sur iprem. Valem sur ipci. Lorsa sur iprium. Lorsem sur ipci, valus sur iprem. Lorsem sur iprem nunc, valus sur iprium.
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fasfsadfdsfa

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Reply 2 on: May 26, 2021
Great answer, keep it coming :)

connor417

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Reply 3 on: Yesterday
Thanks for the timely response, appreciate it

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