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.
Now, use calculated values to get a polynomial:
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 251 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.