3. Approximate the function f (x) = x'/4 by a Taylor polynomial of degree 2 around x = 10. Approximate the value of x'/4 when x = 9.9 and x = 8 using your series. Now find the values of both 9.9/4 and 81/4 using your calculator. Compare the values you obtained from your series and your calculator. Comment on the accuracy of your Taylor series if you want to approximate x'/4 when x is close to 10 and when x is further from 10.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3. Approximate the function f (x) = x'/4 by a Taylor polynomial of degree 2
around x = 10. Approximate the value of x'/4 when x = 9.9 and x = 8
using your series. Now find the values of both 9.9/4 and 81/4 using your
calculator. Compare the values you obtained from your series and your
calculator. Comment on the accuracy of your Taylor series if you want to
approximate x'/4 when x is close to 10 and when x is further from 10.
Transcribed Image Text:3. Approximate the function f (x) = x'/4 by a Taylor polynomial of degree 2 around x = 10. Approximate the value of x'/4 when x = 9.9 and x = 8 using your series. Now find the values of both 9.9/4 and 81/4 using your calculator. Compare the values you obtained from your series and your calculator. Comment on the accuracy of your Taylor series if you want to approximate x'/4 when x is close to 10 and when x is further from 10.
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