Consider the following function. f(x)=sinx, a== n=4, 0≤x≤ - π 6 π 3 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)~T, (x) when x lies in the given interval. (Round your answer to six decimal places.)
Consider the following function. f(x)=sinx, a== n=4, 0≤x≤ - π 6 π 3 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)~T, (x) when x lies in the given interval. (Round your answer to six decimal places.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
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