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Determine the third Taylor polynomial of the function at x = a. f(x) = x 2 + x+1, a = 4

Determine the third Taylor polynomial of the function at x = a. f(x) = x 2 + x+1, a = 4

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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**Determine the Third Taylor Polynomial** Consider the function \( f(x) = x^2 + x + 1 \) at \( a = 4 \). Which of the following is the third Taylor polynomial of the function at \( x = a \)? A) \( 21 + 9(x - 4) + 9(x - 4)^2 + 21(x - 4)^3 \) B) \( 5 + 9(x - 4) + 13(x - 4)^2 \) C) \( 21 + 9(x - 4) + (x - 4)^2 \) D) \( 1 + 3(x - 4) + 3(x - 4)^2 + (x - 4)^3 \) *Note:* Moving to the next question prevents changes to this answer.
Transcribed Image Text:**Determine the Third Taylor Polynomial** Consider the function \( f(x) = x^2 + x + 1 \) at \( a = 4 \). Which of the following is the third Taylor polynomial of the function at \( x = a \)? A) \( 21 + 9(x - 4) + 9(x - 4)^2 + 21(x - 4)^3 \) B) \( 5 + 9(x - 4) + 13(x - 4)^2 \) C) \( 21 + 9(x - 4) + (x - 4)^2 \) D) \( 1 + 3(x - 4) + 3(x - 4)^2 + (x - 4)^3 \) *Note:* Moving to the next question prevents changes to this answer.
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