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.e?0.5: n = 4
Solution 51EStep 1: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 centered at 0.Taylor series is given by .In our caseSo, 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.Step 2:For n=0For n=1For n=2For n=3For n=4Now, use calculated values to get a polynomial:
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
Since the solution to 51E from 9.1 chapter was answered, more than 258 students have viewed the full step-by-step answer. 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.e?0.5: n = 4” is broken down into a number of easy to follow steps, and 31 words. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The full step-by-step solution to problem: 51E from chapter: 9.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This full solution covers the following key subjects: absolute, approximating, Centered, Error, errors. This expansive textbook survival guide covers 85 chapters, and 5218 solutions.