Need helpp.18 Let P2(x) be the second-order Taylor polynomial for cos x centered at x = 0. Suppose that P2(x) is used to approximate cos x for x < 0.6.The error in this approximation is the absolute value of the difference between the actual value and the approximation. That is, Error =|P2(x) – cos x| :Use the Taylor series remainder estimate to bound the error in the approximation. Your answer should be a number; that is, you should give a bound for the errorwhich works for all x in the given interval.Hint: Notice that the second- and third-order Taylor polynomials are the same. So you could think of your approximation of cos x as a second-order approximationOR a third-order approximation. Which one gives you a better bound?Error <Use the alternating series remainder estimate to bound the error in the approximation. Your answer should be a number; that is, give a bound for the error whichworks for all x in the given interval.Error <出

Given that, f(x)=cosx, centered at x=0, x<0.6 Now, let f(x) be a continuous function and Tn(x) is…

Let P2(x) be the second-order Taylor polynomial for cos x centered at æ = 0. Suppose that P2(x) is used to approximate cos for |æ| < 0.6. The error in this approximation is the absolute value of the difference between the actual value and the approximation. That is, Error = |P2(x) – cos x|. Use the Taylor series remainder estimate to bound the error in the approximation. Your answer should be a number; that is, you should give a bound for the error which works for all a in the given interval. Hint: Notice that the second- and third-order Taylor polynomials are the same. So you could think of your approximation of cos x as a second-order approximation OR a third-order approximation. Which one gives you a better bound? Error < Use the alternating series remainder estimate to bound the error in the approximation. Your answer should be a number; that is, give a bound for the error which works for all x in the given interval. Error < |

Let P2(x) be the second-order Taylor polynomial for cos x centered at æ = 0. Suppose that P2(x) is used to approximate cos for |æ| < 0.6. The error in this approximation is the absolute value of the difference between the actual value and the approximation. That is, Error = |P2(x) – cos x|. Use the Taylor series remainder estimate to bound the error in the approximation. Your answer should be a number; that is, you should give a bound for the error which works for all a in the given interval. Hint: Notice that the second- and third-order Taylor polynomials are the same. So you could think of your approximation of cos x as a second-order approximation OR a third-order approximation. Which one gives you a better bound? Error < Use the alternating series remainder estimate to bound the error in the approximation. Your answer should be a number; that is, give a bound for the error which works for all x in the given interval. Error < |

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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