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1. (a) Construct the first Taylor approximant to f: (−1,1) → R, ƒ(x) = sin¯¹ x about a = 11. (b) Use this approximant, and Taylor's Theorem, to find upper and lower bounds on sin¯¹(3/4).

1. (a) Construct the first Taylor approximant to f: (−1,1) → R, ƒ(x) = sin¯¹ x about a = 11. (b) Use this approximant, and Taylor's Theorem, to find upper and lower bounds on sin¯¹(3/4).

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 37E
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sinx 1. (a) Construct the first Taylor approximant to ƒ : (-1, 1) → R, f(x) = sin about a = 1/2. (b) Use this approximant, and Taylor's Theorem, to find upper and lower bounds on sin-¹(3/4).
Transcribed Image Text:sinx 1. (a) Construct the first Taylor approximant to ƒ : (-1, 1) → R, f(x) = sin about a = 1/2. (b) Use this approximant, and Taylor's Theorem, to find upper and lower bounds on sin-¹(3/4).
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