Estimating errors Use the remainder term to estimate the absolute error in approximating the following quantities with the nth-order Taylor polynomial centered at 0. Estimates are not unique.
sin 0.3; n = 4
In this problem we have to find the absolute error using remainder term in approximating with the -order Taylor polynomial centered at 0.
Let us first find the order Taylor polynomial of sin x centered at 0.
Taylor series is given by .
In our case
So, what we need to do to get desired polynomial is to calculate derivatives, evaluate them at the given point and plug results into given formula.
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
The answer to “Estimating errors Use the remainder term to estimate the absolute error in approximating the following quantities with the nth-order Taylor polynomial centered at 0. Estimates are not unique.sin 0.3; n = 4” is broken down into a number of easy to follow steps, and 32 words. The full step-by-step solution to problem: 47E from chapter: 9.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Since the solution to 47E from 9.1 chapter was answered, more than 301 students have viewed the full step-by-step answer. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This full solution covers the following key subjects: absolute, approximating, Centered, Error, errors. This expansive textbook survival guide covers 85 chapters, and 5218 solutions.