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1 L'e ex dx. Let consider a) Apply the composite midpoint rule with m = 4. Compute error by comparing with the correct value. a) Apply the composite trapezoid rule with m = 4. Compute error by comparing with the correct value. c) Replace f(x) = eº by its 4th order Taylor polynomial to integrate. Compute error by comparing with the correct value.

1 L'e ex dx. Let consider a) Apply the composite midpoint rule with m = 4. Compute error by comparing with the correct value. a) Apply the composite trapezoid rule with m = 4. Compute error by comparing with the correct value. c) Replace f(x) = eº by its 4th order Taylor polynomial to integrate. Compute error by comparing with the correct value.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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just part c

Let consider \(\int_{0}^{1} e^x \, dx.\) a) Apply the composite midpoint rule with \(m = 4\). Compute error by comparing with the correct value. b) Apply the composite trapezoid rule with \(m = 4\). Compute error by comparing with the correct value. c) Replace \(f(x) = e^x\) by its 4th order Taylor polynomial to integrate. Compute error by comparing with the correct value.
Transcribed Image Text:Let consider \(\int_{0}^{1} e^x \, dx.\) a) Apply the composite midpoint rule with \(m = 4\). Compute error by comparing with the correct value. b) Apply the composite trapezoid rule with \(m = 4\). Compute error by comparing with the correct value. c) Replace \(f(x) = e^x\) by its 4th order Taylor polynomial to integrate. Compute error by comparing with the correct value.
Expert Solution
Step 1

The given function is ∫01ex dx. 

To replace the function by its 4thorder Taylor polynomial to integrate and to compute the error by comparing it with the correct value. 

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what about part c?

1 S ex dx. Let consider a) Apply the composite midpoint rule with m value. - 4. Compute error by comparing with the correct a) Apply the composite trapezoid rule with m = 4. Compute error by comparing with the correct value. c) Replace f(x) = eª by its 4th order Taylor polynomial to integrate. Compute error by comparing with the correct value.
Transcribed Image Text:1 S ex dx. Let consider a) Apply the composite midpoint rule with m value. - 4. Compute error by comparing with the correct a) Apply the composite trapezoid rule with m = 4. Compute error by comparing with the correct value. c) Replace f(x) = eª by its 4th order Taylor polynomial to integrate. Compute error by comparing with the correct value.
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