Use the fact that (– 1)"w²n cos(w) = (2n)! to evaluate the following integral to within an error 0.01. cos(1.4z²)dz. Estimate = .82178 How many non-zero terms of the Maclaurin series did you use to approximate this integral? 3 Now estimate the error of the approximation. | error | <.160067

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Use the fact that
(– 1)"w²n
(2n)!
cos(w) =
n=0
to evaluate the following integral to within an error 0.01.
cos(1.4a*)dz.
Estimate =
.82178
How many non-zero terms of the Maclaurin series did you use to approximate this integral?
3
Now estimate the error of the approximation.
| error | <
.160067
Transcribed Image Text:Use the fact that (– 1)"w²n (2n)! cos(w) = n=0 to evaluate the following integral to within an error 0.01. cos(1.4a*)dz. Estimate = .82178 How many non-zero terms of the Maclaurin series did you use to approximate this integral? 3 Now estimate the error of the approximation. | error | < .160067
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