The first three Taylor polynomials for f(x)=√9+x centered at 0 are po (x)=3, P₁ (x)=3+, and p₂(x)=3+216 Find three approximations to √9.2. The approximation based on po(x) is 3. (Type an integer or decimal rounded to six decimal places as needed.) x² The approximation based on p₁ (x) is. (Type an integer or decimal rounded to six decimal places as needed.)

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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₂,2
The first three Taylor polynomials for f(x)=√9+x centered at 0 are po (x)= 3, P₁ (x)=3+, and p₂(x) = 3+;
6 216
The approximation based on po(x) is 3.
(Type an integer or decimal rounded to six decimal places as needed.)
The approximation based on p₁ (x) is
(Type an integer or decimal rounded to six decimal places as needed.)
Find three approximations to √9.2.
C
Transcribed Image Text:₂,2 The first three Taylor polynomials for f(x)=√9+x centered at 0 are po (x)= 3, P₁ (x)=3+, and p₂(x) = 3+; 6 216 The approximation based on po(x) is 3. (Type an integer or decimal rounded to six decimal places as needed.) The approximation based on p₁ (x) is (Type an integer or decimal rounded to six decimal places as needed.) Find three approximations to √9.2. C
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