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Author Question: Find an upper bound for the size of the error if the Trapezoidal Rule using 4 equal subintervals is ... (Read 60 times)

clmills979

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on: May 26, 2021

Question 1

Suppose that 0  ≤  f"(x) ≤  3 on the interval [0, 2] and that a Trapezoid Rule approximation Tn for  based on  n  equal subintervals  of  [0, 2]  has been calculated. Which is the interval you can be sure must contain  I?
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Question 2

Find an upper bound for the size of the error if the Trapezoidal Rule using 4 equal subintervals is used to approximate the integral dx. Is the error positive or negative?
◦  <  ,   Error  <  0
◦  <  ,   Error  <  0
◦  <  ,   Error  >  0
◦  <  ,   Error  >  0
◦  <  ,   Error  <  0
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Marked as best answer by clmills979 on May 26, 2021

vboyd24

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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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clmills979

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

bbburns21

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Reply 3 on: Yesterday
Excellent

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