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Use the following table of values 3 5 7 9 11 f (x) 0.3 0.1 0.04 0.09 0.1 To estimate " f (x)dx a.) Using L4 b.) Using T4 c.) Using S4

Use the following table of values 3 5 7 9 11 f (x) 0.3 0.1 0.04 0.09 0.1 To estimate " f (x)dx a.) Using L4 b.) Using T4 c.) Using S4

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the following table of values 3 7 9. 11 f (x) 0.3 0.1 0.04 0.09 0.1 To estimate f (x)dx a.) Using L4 b.) Using T4 c.) Using S4 The graph below shows the graph of the second derivative of the function in #4 on the interval [3,11] Graph ol Second Derivative on [3, 11] 10- 8- 4- 2- 10 11 4- 8- -10- What is the smallest integer value of K that can be used in the error estimate for T4 Using this value what is the error estimate for the approximation by T4. Find the first value of n for which the error estimate by Tn is less than 0.005
Transcribed Image Text:Use the following table of values 3 7 9. 11 f (x) 0.3 0.1 0.04 0.09 0.1 To estimate f (x)dx a.) Using L4 b.) Using T4 c.) Using S4 The graph below shows the graph of the second derivative of the function in #4 on the interval [3,11] Graph ol Second Derivative on [3, 11] 10- 8- 4- 2- 10 11 4- 8- -10- What is the smallest integer value of K that can be used in the error estimate for T4 Using this value what is the error estimate for the approximation by T4. Find the first value of n for which the error estimate by Tn is less than 0.005
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