Let f(x) be a function with the following properties: f(1) = 2, ƒ' (1) = 4, ƒ” (1) = What is the second degree Taylor polynomial centered around a = 1 for this function O 2 + 4x + 12x² O 2 + 4(x - 1) + 12(x − 1)² O 2 + 4x + 6x² O 2 + 4(x - 1) + 6(x − 1)² O 2+2x+4x² O2+2(æ −1)+4( −1)2 O None of the above

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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Let f(x) be a function with the following properties:
f(1) = 2, ƒ' (1) = 4, f" (1) = 12
What is the second degree Taylor polynomial centered around a = 1 for this function
O2 + 4x + 12x²
O2+4(−1)+12( −1)2
O 2 + 4x + 6x²
O 2 + 4(x-1) + 6(x − 1)²
O 2 + 2x + 4x²
O2+2(−1)+4(2 −1)2
O None of the above
Transcribed Image Text:Let f(x) be a function with the following properties: f(1) = 2, ƒ' (1) = 4, f" (1) = 12 What is the second degree Taylor polynomial centered around a = 1 for this function O2 + 4x + 12x² O2+4(−1)+12( −1)2 O 2 + 4x + 6x² O 2 + 4(x-1) + 6(x − 1)² O 2 + 2x + 4x² O2+2(−1)+4(2 −1)2 O None of the above
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