Consider the following function. T 3 π f(x)=sinx, a ==, n=4, 0≤x≤: 6 a) Approximate f(x) by a Taylor polynomial with degreen at the number a. b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x)=(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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Consider the following function.
T
f(x)=sinx, a ==, n=4, 0≤x≤
6
xs
T
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.)
Transcribed Image Text:Consider the following function. T f(x)=sinx, a ==, n=4, 0≤x≤ 6 xs T 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.)
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