Consider the following function.f(x) = x6/7, a = 1, n = 3,(a) Approximate f by a Taylor polynomial with degree n at the number a.T3(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 your answer to eight decimal places.)|R3(x)|Enter a number.(c) Check your result in part (b) by graphing IR (X).-5.x 10-6y-0.000010-0.000015-0.000020-0.000025-0.000030-0.000035y0.0000350.0000300.0000250.0000200.0000150.0000105.x 10-60.90.90.8 ≤ x ≤ 1.21.01.01.11.11.21.2XX0.0000350.0000300.0000250.0000200.0000150.000010y-65.x 10-5.x 10y-6-0.000010-0.000015-0.000020-0.000025-0.000030-0.0000350.90.91.01.11.1X1.21.2X

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 5T

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Consider the following function. f(x) = x6/7, a = 1, n = 3, 0.8 ≤ x ≤ 1.2 (a) Approximate f by a Taylor polynomial with degree n at the number a. T3(x) =