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Find the second-degree Taylor polynomial for f(x) = 5x² − 7x + 6 about x = 0. P₂(x) = What do you notice about your polynomial?

Find the second-degree Taylor polynomial for f(x) = 5x² − 7x + 6 about x = 0. P₂(x) = What do you notice about your polynomial?

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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Find the second-degree Taylor polynomial for f(x) = 5x² - 7x + 6 about x = 0. P₂(x) = -0 What do you notice about your polynomial?
Transcribed Image Text:Find the second-degree Taylor polynomial for f(x) = 5x² - 7x + 6 about x = 0. P₂(x) = -0 What do you notice about your polynomial?
Problem: 1) Find the second-degree Taylor polynomial For f(x) = 5x² - 7x + 6 about x = 0₂ P₂(x)= 2 f(3) = 5₂²-7x+6, f/6)=5(0)²=-7 (0) 46 = 6² 2 $'(x) = 10x=7_f(0) = 10(0) -7²-7 j"(x) = 101 P(0) ₂ ? 2 Po(x) = f(0) = 6 P₁ (x) = 6 + f '(0) (x-0) = 6-7 ( x-0) = -1(x) = -X P₁₂₁ ( x ) = -x + £ ¹ (0) (x-0)² --X 2!
Transcribed Image Text:Problem: 1) Find the second-degree Taylor polynomial For f(x) = 5x² - 7x + 6 about x = 0₂ P₂(x)= 2 f(3) = 5₂²-7x+6, f/6)=5(0)²=-7 (0) 46 = 6² 2 $'(x) = 10x=7_f(0) = 10(0) -7²-7 j"(x) = 101 P(0) ₂ ? 2 Po(x) = f(0) = 6 P₁ (x) = 6 + f '(0) (x-0) = 6-7 ( x-0) = -1(x) = -X P₁₂₁ ( x ) = -x + £ ¹ (0) (x-0)² --X 2!
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