9-16 . (a) Approximate f by a Taylor polynomial with degree n at the number a. (b) Use Taylor's Formula to estimate the accuracy of the approx- imation f(x) = T,(x) when x lies in the given interval. 1(c) Check your result in part (b) by graphing | R,(x) |-

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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Use the information from Exercise 12 to estimate

 cos 69∘

correct to five decimal places.

 

9-16 .
(a) Approximate f by a Taylor polynomial with degree n at the
number a.
(b) Use Taylor's Formula to estimate the accuracy of the approx-
imation f(x) = T,(x) when x lies in the given interval.
3 (c) Check your result in part (b) by graphing | R,(x) |-
12. f(x) :
= cos x,
= T/3, n= 4, 0<x< 27/3
a =
Transcribed Image Text:9-16 . (a) Approximate f by a Taylor polynomial with degree n at the number a. (b) Use Taylor's Formula to estimate the accuracy of the approx- imation f(x) = T,(x) when x lies in the given interval. 3 (c) Check your result in part (b) by graphing | R,(x) |- 12. f(x) : = cos x, = T/3, n= 4, 0<x< 27/3 a =
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