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80. The function f has derivatives of all orders for all real numbers with f(2) = -1, f'(2) = 4, ƒ"(2) = 6, and f(2) = 12. Using the third-degree Taylor polynomial for f about x = 2, what is the approximation of f(2.1)? (A) -0.570 (B) -0.568 (C) -0.566 (D) -0.528

80. The function f has derivatives of all orders for all real numbers with f(2) = -1, f'(2) = 4, ƒ"(2) = 6, and f(2) = 12. Using the third-degree Taylor polynomial for f about x = 2, what is the approximation of f(2.1)? (A) -0.570 (B) -0.568 (C) -0.566 (D) -0.528

Calculus For The Life Sciences
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.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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80. The function f has derivatives of all orders for all real numbers with f(2) = -1, f'(2) = 4, ƒ"(2) = 6, and f(2) = 12. Using the third-degree Taylor polynomial for f about x = 2, what is the approximation of f(2.1)? (A) -0.570 (B) -0.568 (C) -0.566 (D) -0.528
Transcribed Image Text:80. The function f has derivatives of all orders for all real numbers with f(2) = -1, f'(2) = 4, ƒ"(2) = 6, and f(2) = 12. Using the third-degree Taylor polynomial for f about x = 2, what is the approximation of f(2.1)? (A) -0.570 (B) -0.568 (C) -0.566 (D) -0.528
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