(x) = x2/7, a = 1, n = 3, 0.8 s x s 1.2 (a) Approximate f by a Taylor polynomial with degree n at the number a. TaW) - 1+7(x- 1) - (x – 1)² + (x – 1)* v 20 343 (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) = Tp(x) when x lies in the given interval. (Round your answer to eight decimal places.) |R3(x)| s .00011414

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(x) = x2/7, a = 1, n = 3, 0.8 s x s 1.2
(a) Approximate f by a Taylor polynomial with degree n at the number a.
TaW) - 1+7(x- 1) - (x – 1)² + (x – 1)* v
20
343
(b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) = Tp(x) when x lies in the given interval. (Round your answer to eight decimal places.)
|R3(x)| s .00011414
Transcribed Image Text:(x) = x2/7, a = 1, n = 3, 0.8 s x s 1.2 (a) Approximate f by a Taylor polynomial with degree n at the number a. TaW) - 1+7(x- 1) - (x – 1)² + (x – 1)* v 20 343 (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) = Tp(x) when x lies in the given interval. (Round your answer to eight decimal places.) |R3(x)| s .00011414
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