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 For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
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