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Consider the following function. T f(x)=sinx, a == n=4, 0≤x≤¹ 3 9 a) Approximate f(x) by a Taylor polynomial with degree n at the number a. b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) T₁ (x) when x lies in the given interval. (Round your answer to six decimal places.)

Consider the following function. T f(x)=sinx, a == n=4, 0≤x≤¹ 3 9 a) Approximate f(x) by a Taylor polynomial with degree n at the number a. b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) T₁ (x) when x lies in the given interval. (Round your answer to six decimal places.)

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. π f(x)=sinx, a=- n=4, 0≤x≤¹ x≤ 3 3 2 a) Approximate f(x) by a Taylor polynomial with degree ʼn at the number a. b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x)~T, (x) when x lies in the given interval. (Round your answer to six decimal places.)
Transcribed Image Text:Consider the following function. π f(x)=sinx, a=- n=4, 0≤x≤¹ x≤ 3 3 2 a) Approximate f(x) by a Taylor polynomial with degree ʼn at the number a. b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x)~T, (x) when x lies in the given interval. (Round your answer to six decimal places.)
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