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In previous classes you learned about numerical integration techniques, including Simpson's rule. We want to compare this to using Maclaurin series. a An integral that comes up often in statistics is a variation on 22 e dx, which is used to find probabilities for the normal distribution. A) Approximate ⚫0.56 22 e dx using Simpson's rule with 4 subdivisions. Be sure to maintain at least 5 significant digits in intermediary calculations, or use a calculator to maintain the accuracy. You are welcome to include a screenshot of a calculator in your work rather than typing out the details. B) Approximate 0.56 e dx by using a finding a Taylor series for e integrating, then evaluating the degree 9 Taylor polynomial. C) Compare each result to the "actual" integral obtained from a calculator. Which is more accurate? Which was easier to compute? Upload your work here. You can use Insert->Image to add pictures, or Insert->Attach File to add other files.

In previous classes you learned about numerical integration techniques, including Simpson's rule. We want to compare this to using Maclaurin series. a An integral that comes up often in statistics is a variation on 22 e dx, which is used to find probabilities for the normal distribution. A) Approximate ⚫0.56 22 e dx using Simpson's rule with 4 subdivisions. Be sure to maintain at least 5 significant digits in intermediary calculations, or use a calculator to maintain the accuracy. You are welcome to include a screenshot of a calculator in your work rather than typing out the details. B) Approximate 0.56 e dx by using a finding a Taylor series for e integrating, then evaluating the degree 9 Taylor polynomial. C) Compare each result to the "actual" integral obtained from a calculator. Which is more accurate? Which was easier to compute? Upload your work here. You can use Insert->Image to add pictures, or Insert->Attach File to add other files.

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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In previous classes you learned about numerical integration techniques, including Simpson's rule. We want to compare this to using Maclaurin series. a An integral that comes up often in statistics is a variation on 22 e dx, which is used to find probabilities for the normal distribution. A) Approximate ⚫0.56 22 e dx using Simpson's rule with 4 subdivisions. Be sure to maintain at least 5 significant digits in intermediary calculations, or use a calculator to maintain the accuracy. You are welcome to include a screenshot of a calculator in your work rather than typing out the details. B) Approximate 0.56 e dx by using a finding a Taylor series for e integrating, then evaluating the degree 9 Taylor polynomial. C) Compare each result to the "actual" integral obtained from a calculator. Which is more accurate? Which was easier to compute? Upload your work here. You can use Insert->Image to add pictures, or Insert->Attach File to add other files.
Transcribed Image Text:In previous classes you learned about numerical integration techniques, including Simpson's rule. We want to compare this to using Maclaurin series. a An integral that comes up often in statistics is a variation on 22 e dx, which is used to find probabilities for the normal distribution. A) Approximate ⚫0.56 22 e dx using Simpson's rule with 4 subdivisions. Be sure to maintain at least 5 significant digits in intermediary calculations, or use a calculator to maintain the accuracy. You are welcome to include a screenshot of a calculator in your work rather than typing out the details. B) Approximate 0.56 e dx by using a finding a Taylor series for e integrating, then evaluating the degree 9 Taylor polynomial. C) Compare each result to the "actual" integral obtained from a calculator. Which is more accurate? Which was easier to compute? Upload your work here. You can use Insert->Image to add pictures, or Insert->Attach File to add other files.
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