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1. Find the nth Taylor polynomial P₁ for f about x = a. Use P₁, to approximate f(b). Compare your approximation to the value of f(b) you get when using a calculator. (a) f(x) = cos x, xER, n=6, a = 0 and b = 2.

1. Find the nth Taylor polynomial P₁ for f about x = a. Use P₁, to approximate f(b). Compare your approximation to the value of f(b) you get when using a calculator. (a) f(x) = cos x, xER, n=6, a = 0 and b = 2.

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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Plz do 1 a and c

1. Find the nth Taylor polynomial P₁ for f about x = a. Use P₁ to approximate f(b). Compare your approximation to the value of f(b) you get when using a calculator. (a) f(x) = cos x, xER, n = 6, a = 0 and b = 2. (b) f(x) = x, x > 0, n = 3, a = 1 and b = 2. 1 (c) f(x) = x+1' x = -1, n = 5, a = 1 and b = 3.
Transcribed Image Text:1. Find the nth Taylor polynomial P₁ for f about x = a. Use P₁ to approximate f(b). Compare your approximation to the value of f(b) you get when using a calculator. (a) f(x) = cos x, xER, n = 6, a = 0 and b = 2. (b) f(x) = x, x > 0, n = 3, a = 1 and b = 2. 1 (c) f(x) = x+1' x = -1, n = 5, a = 1 and b = 3.
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