f(x) = x sin(x), a = 0, n = 4, -0.9 ≤x≤ 0.9 (a) Approximate f by a Taylor polynomial with degreen at the number a. T4(x) = (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) T(x) when x lies in the given interval. (Round M up to the nearest integer. Round your answer to four decimal places.) |R4(x)| ≤

f(x) = x sin(x), a = 0, n = 4, -0.9 ≤x≤ 0.9 (a) Approximate f by a Taylor polynomial with degreen at the number a. T4(x) = (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) T(x) when x lies in the given interval. (Round M up to the nearest integer. Round your answer to four decimal places.) |R4(x)| ≤

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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Approximate Taylor polynomial with: degree n=4 at a=0, and estimate the accuracy of Rn4(x)

f(x) = x sin(x), a = 0, n = 4, 0.9 ≤ x ≤ 0.9
(a) Approximate f by a Taylor polynomial with degree n at the number a.
T4(x) =
(b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) T(x) when x lies in the given interval. (Round M up to the nearest integer. Round your answer to four decimal places.)
R4(x)| ≤

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Step 1: Find derivatives of f(x)=xsinx.

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