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 cal x 3x? Approximate 1 using f(x) = and p2 (x) = 1+ + 8 V0.93 V1-x 2 a. Using the Taylor polynomial p2, V0.93 (Do not round until the final answer. Then round to seven 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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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.
x 3x?
Approximate
1
using f(x) =
and p2 (x) = 1+
+
8
V0.93
V1-x
2
a. Using the Taylor polynomial p2.
V0.93
(Do not round until the final answer. Then round to seven decimal places as needed.)
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. x 3x? Approximate 1 using f(x) = and p2 (x) = 1+ + 8 V0.93 V1-x 2 a. Using the Taylor polynomial p2. V0.93 (Do not round until the final answer. Then round to seven decimal places as needed.)
Find the Taylor polynomials p1, .-.,
Ps centered at a = 0 for f(x) = e -x.
P,(x) =O
Transcribed Image Text:Find the Taylor polynomials p1, .-., Ps centered at a = 0 for f(x) = e -x. P,(x) =O
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