a. Use the given Taylor polynomial p2 to approximate the given quantity. b. Compute the absolute error in the approximation assuming the exact value is given by a calculator. x2 Approximate e -0.06 using f(x) = e -× and p2(x) = 1 – X +7. - 0.06 a. Using the Taylor polynomial p2, e (Do not round until the final answer. Then round to four decimal places as needed.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.3: Change Of Basis
Problem 17EQ
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Parts A and B please

a. Use the given Taylor polynomial p2 to approximate the given quantity.
b. Compute the absolute error in the approximation assuming the exact value is given by a calculator.
Approximate e -0.06 using f(x) = e
x2
and p2(x) = 1-x+
2
- 0.06
a. Using the Taylor polynomial p2, e
(Do not round until the final answer. Then round to four decimal places as needed.)
10
Transcribed Image Text:a. Use the given Taylor polynomial p2 to approximate the given quantity. b. Compute the absolute error in the approximation assuming the exact value is given by a calculator. Approximate e -0.06 using f(x) = e x2 and p2(x) = 1-x+ 2 - 0.06 a. Using the Taylor polynomial p2, e (Do not round until the final answer. Then round to four decimal places as needed.) 10
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