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Author Question: Given that f"(t) < 0 on the interval [a, b], what can be said about the relationship between the ... (Read 127 times)

Lobcity

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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  Midpoint 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

◦ M4  =  2.0460
◦ M4  =  2.0470
◦ M4  =  2.0465
◦ M4  =  2.0480
◦ M4  =  2.0475

Question 2

Given that  f"(t) < 0  on the interval  [a, b],  what can be said about  the relationship between the values of  the integral   I  = dx,  the Trapezoid Rule approximation  Tn  for  I, and the Midpoint Rule approximation  Mn  for  I?
◦ I  <  Mn  <  Tn
◦ Mn <  I  <  Tn
◦ Tn <  Mn <  I
◦ Tn <  I  <  Mn
◦ It is impossible to tell.
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Marked as best answer by Lobcity on May 26, 2021

leeeep

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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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Lobcity

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Reply 2 on: May 26, 2021
Gracias!

peter

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

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