1.2 1/1 Question 3 Use the Lagrange Error formula to find a bound for the error in approximating f (x) = for x2 0.9 < x < 1.1 with a second-order Taylor polynomial about x = 1. [Hint: you have to find the third derivative of f (x), bound it on the interval 0.9 < x < 1.1, and then use the Lagrange Error formula.] 0.005 0.00677 0.00045 0.00067 Quiz Score: 3 out
1.2 1/1 Question 3 Use the Lagrange Error formula to find a bound for the error in approximating f (x) = for x2 0.9 < x < 1.1 with a second-order Taylor polynomial about x = 1. [Hint: you have to find the third derivative of f (x), bound it on the interval 0.9 < x < 1.1, and then use the Lagrange Error formula.] 0.005 0.00677 0.00045 0.00067 Quiz Score: 3 out
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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![1.2
1/1
Question 3
Use the Lagrange Error formula to find a bound for
the error in approximating f (x) =
for
x2
0.9 < x < 1.1 with a second-order Taylor
polynomial about x = 1. [Hint: you have to find the
third derivative of f (x), bound it on the interval
0.9 < x < 1.1, and then use the Lagrange Error
formula.]
0.005
0.00677
0.00045
0.00067
Quiz Score: 3 out](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28939ce1-0727-4fe2-bb4f-e0471da7e82d%2F1045df5d-443f-48f5-b24a-4082fd8bcf6b%2Fegotmi.png&w=3840&q=75)
Transcribed Image Text:1.2
1/1
Question 3
Use the Lagrange Error formula to find a bound for
the error in approximating f (x) =
for
x2
0.9 < x < 1.1 with a second-order Taylor
polynomial about x = 1. [Hint: you have to find the
third derivative of f (x), bound it on the interval
0.9 < x < 1.1, and then use the Lagrange Error
formula.]
0.005
0.00677
0.00045
0.00067
Quiz Score: 3 out
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