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Below is a graph of function f(x). Which of the following could be the second Taylor polynomial of f(x) at x=a? fx) a p2(x) %=D을 +을 (x-a) 13 %3D P2(x) =x - a) - (x - a)2 13 p2(x) = P2(0) = * -a) + * - a)? (-x) P2(x) = x - a)?

Below is a graph of function f(x). Which of the following could be the second Taylor polynomial of f(x) at x=a? fx) a p2(x) %=D을 +을 (x-a) 13 %3D P2(x) =x - a) - (x - a)2 13 p2(x) = P2(0) = * -a) + * - a)? (-x) P2(x) = x - a)?

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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Below is a graph of function \( f(x) \). Which of the following could be the second Taylor polynomial of \( f(x) \) at \( x = a \)? Graph Description: - The graph shows a curve labeled \( f(x) \) that displays oscillatory behavior. - The x-axis is labeled \( x \), and the y-axis is labeled \( y \). - The curve starts below the x-axis, rises above it, dips again below, rises sharply, and then levels again, with a marked point at \( x = a \). Options: 1. \( p_2(x) = \frac{13}{3} + \frac{5}{3}(x-a) \) 2. \( p_2(x) = \frac{5}{3}(x-a) - \frac{2}{3}(x-a)^2 \) 3. \( p_2(x) = \frac{13}{3} + \frac{2}{3}(x-a)^2 \) 4. \( p_2(x) = \frac{13}{3} - \frac{5}{3}(x-a) + \frac{2}{3}(x-a)^2 \) 5. \( p_2(x) = \frac{13}{3} - \frac{2}{3}(x-a)^2 \)
Transcribed Image Text:Below is a graph of function \( f(x) \). Which of the following could be the second Taylor polynomial of \( f(x) \) at \( x = a \)? Graph Description: - The graph shows a curve labeled \( f(x) \) that displays oscillatory behavior. - The x-axis is labeled \( x \), and the y-axis is labeled \( y \). - The curve starts below the x-axis, rises above it, dips again below, rises sharply, and then levels again, with a marked point at \( x = a \). Options: 1. \( p_2(x) = \frac{13}{3} + \frac{5}{3}(x-a) \) 2. \( p_2(x) = \frac{5}{3}(x-a) - \frac{2}{3}(x-a)^2 \) 3. \( p_2(x) = \frac{13}{3} + \frac{2}{3}(x-a)^2 \) 4. \( p_2(x) = \frac{13}{3} - \frac{5}{3}(x-a) + \frac{2}{3}(x-a)^2 \) 5. \( p_2(x) = \frac{13}{3} - \frac{2}{3}(x-a)^2 \)
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