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10. (a) Construct the Taylor polynomial p3(x) of degree 3 for the function f(x) = 1/(2-x) around x = 0. I (b) Using the error formula (6), show that 2 2 ---- ². S P3 (c) Compare the estimate in part (b) with the actual error 1/3-P(12).

10. (a) Construct the Taylor polynomial p3(x) of degree 3 for the function f(x) = 1/(2-x) around x = 0. I (b) Using the error formula (6), show that 2 2 ---- ². S P3 (c) Compare the estimate in part (b) with the actual error 1/3-P(12).

Calculus: Early Transcendentals
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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Question 10 pls explain a b and c
Q A N F 9. (a) Construct the Taylor polynomial p3(x) of degree 3 for the function f(x) = ln x around x = 1. (b) Using the error formula (6), show that In (1.5) - P3 (1.5)| ≤ 4 = 0.015625. (c) Compare the estimate in part (b) with the actual error by calculating In (1.5) - P3 (1.5). (d) Sketch the graphs of In x and p3(x) (on the same axes) for 0<x<2. 10. (a) Construct the Taylor polynomial p3(x) of degree 3 for the function f(x) = 1/(2-x) around x = 0. Using the error formula (6), show that I (b) 2 W S X F(₂) - P²(₂)| = | ²3- P3 (c) Compare the estimate in part (b) with the actual error می کند 3 E D (0.5)4 $ 4 C R FL % 5 -P3 V T G ^ S 6 35 B & 7 H 97 N 8 J 14. Soft 1 Let k nonze to the tion gi change force k (r = 0 restorin the sprin (a) Red initi and for t (b) Keep cond Probi (c) Based betwe small ( M K C
Transcribed Image Text:Q A N F 9. (a) Construct the Taylor polynomial p3(x) of degree 3 for the function f(x) = ln x around x = 1. (b) Using the error formula (6), show that In (1.5) - P3 (1.5)| ≤ 4 = 0.015625. (c) Compare the estimate in part (b) with the actual error by calculating In (1.5) - P3 (1.5). (d) Sketch the graphs of In x and p3(x) (on the same axes) for 0<x<2. 10. (a) Construct the Taylor polynomial p3(x) of degree 3 for the function f(x) = 1/(2-x) around x = 0. Using the error formula (6), show that I (b) 2 W S X F(₂) - P²(₂)| = | ²3- P3 (c) Compare the estimate in part (b) with the actual error می کند 3 E D (0.5)4 $ 4 C R FL % 5 -P3 V T G ^ S 6 35 B & 7 H 97 N 8 J 14. Soft 1 Let k nonze to the tion gi change force k (r = 0 restorin the sprin (a) Red initi and for t (b) Keep cond Probi (c) Based betwe small ( M K C
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