2. Let f(x) = (a) Use xo =0 and find Pa(x), Ps(x), and P(x). (b) Show that if (x| s1 then the approximation cos(x) and apply Theorem 4. I. %3D %3D cos(x) I- 2! 4! 6! 8! has the error bound |Eg(x)I < 1/9! <2.75574 x 10-6 (c) Use xo = 7/4 and find Pa(x), which involves powers of (x /4).

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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has the error bound |Eg(x)| < 1/10! < 2.75574 x 10-.
(c) Use xo
7/4 and find Ps(x), which involves powers of (x - n/4).
2. Let f(x) = cos(x) and apply Theorem 4.1.
(a) Usc xo =0 and find Pa(x), Po(x), and P(x).
(b) Show that if (x| s1 then the approximation
.4
cos(x) I
2!
4!
6!
8!
has the error bound |Eg(x)I < 1/9! < 2.75574 x 10-6
Use xo = 7/4 and find Pa(x). which involves powers of (x T/4).
(c)
S 26interpolation.pdf
25,26interpolation
Transcribed Image Text:has the error bound |Eg(x)| < 1/10! < 2.75574 x 10-. (c) Use xo 7/4 and find Ps(x), which involves powers of (x - n/4). 2. Let f(x) = cos(x) and apply Theorem 4.1. (a) Usc xo =0 and find Pa(x), Po(x), and P(x). (b) Show that if (x| s1 then the approximation .4 cos(x) I 2! 4! 6! 8! has the error bound |Eg(x)I < 1/9! < 2.75574 x 10-6 Use xo = 7/4 and find Pa(x). which involves powers of (x T/4). (c) S 26interpolation.pdf 25,26interpolation
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