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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 15 times)

Lobcity

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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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Lobcity

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Reply 2 on: May 26, 2021
Wow, this really help


zacnyjessica

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

 

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