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Consider the following function. f(x)=x4, a = 1, n = 2,0.8 ≤x≤1.2 (a) Approximate f by a Taylor polynomial with degree n at the number a. -4(x-1) 20(x-1)² 1! 2! T2(x) = 1 + + (b) Use Taylor's Inequality to estimate the accuracy of the approximation f Tn(x) when x lies in the given interval. (Round the answer to six decimal places |R₂(x)| ≤

Consider the following function. f(x)=x4, a = 1, n = 2,0.8 ≤x≤1.2 (a) Approximate f by a Taylor polynomial with degree n at the number a. -4(x-1) 20(x-1)² 1! 2! T2(x) = 1 + + (b) Use Taylor's Inequality to estimate the accuracy of the approximation f Tn(x) when x lies in the given interval. (Round the answer to six decimal places |R₂(x)| ≤

Advanced Engineering Mathematics
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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Consider the following function. f(x)=x4, a = 1, n = 2,0.8 ≤x≤1.2 (a) Approximate f by a Taylor polynomial with degree n at the number a. -4(x-1) 20(x-1)² 1! 2! T2(x) = 1 + + (b) Use Taylor's Inequality to estimate the accuracy of the approximation f Tn(x) when x lies in the given interval. (Round the answer to six decimal places |R₂(x)| ≤
Transcribed Image Text:Consider the following function. f(x)=x4, a = 1, n = 2,0.8 ≤x≤1.2 (a) Approximate f by a Taylor polynomial with degree n at the number a. -4(x-1) 20(x-1)² 1! 2! T2(x) = 1 + + (b) Use Taylor's Inequality to estimate the accuracy of the approximation f Tn(x) when x lies in the given interval. (Round the answer to six decimal places |R₂(x)| ≤
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