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Taylor Series Approximation Formula f" f"" (a) ² f(x) = f(a) + f'(a)(x − a) + ¹¹¹(a) (x − a)² + (x-a)³ + ... 2 3! - What is the second derivative of the function f(x) xex ? What is the coefficient of the third term of the Taylor Series approximation for f(x) = -xex when a = 0? Oa. (1/6) Ob. (2/4!) Oc. (-1/2) Od. 3 Using substitution, calculate the approximate value of this function at x = 0.3, using the fourth order Taylor series approximation of this function. Enter your result up to five decimal places of accuracy.

Taylor Series Approximation Formula f" f"" (a) ² f(x) = f(a) + f'(a)(x − a) + ¹¹¹(a) (x − a)² + (x-a)³ + ... 2 3! - What is the second derivative of the function f(x) xex ? What is the coefficient of the third term of the Taylor Series approximation for f(x) = -xex when a = 0? Oa. (1/6) Ob. (2/4!) Oc. (-1/2) Od. 3 Using substitution, calculate the approximate value of this function at x = 0.3, using the fourth order Taylor series approximation of this function. Enter your result up to five decimal places of accuracy.

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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Taylor Series Approximation Formula f(x) = f(a) + f'(a)(x − a) + ¹¹(ª) (x − a)² + ² (x-a)³ + ... - 2 3! - What is the second derivative of the function f(x) xex ? What is the coefficient of the third term of the Taylor Series approximation for f(x) = -xex when a = 0? Oa. (1/6) Ob. (2/4!) Oc. (-1/2) Od. 3 Using substitution, calculate the approximate value of this function at x = 0.3, using the fourth order Taylor series approximation of this function. Enter your result up to five decimal places of accuracy.
Transcribed Image Text:Taylor Series Approximation Formula f(x) = f(a) + f'(a)(x − a) + ¹¹(ª) (x − a)² + ² (x-a)³ + ... - 2 3! - What is the second derivative of the function f(x) xex ? What is the coefficient of the third term of the Taylor Series approximation for f(x) = -xex when a = 0? Oa. (1/6) Ob. (2/4!) Oc. (-1/2) Od. 3 Using substitution, calculate the approximate value of this function at x = 0.3, using the fourth order Taylor series approximation of this function. Enter your result up to five decimal places of accuracy.
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