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4. For the function f(x) = cos x, centered at a = 0: a. Find the first five nonzero terms of the Taylor Series. b. Approximate cos(-2) to four decimal places using the sum of these first five nonzero terms. c. Compare this value from part (b) to the decimal approximation of cos(-2) using the cosx button on a scientific calculator, also rounded to four decimal places (find the absolute error between these two values).

4. For the function f(x) = cos x, centered at a = 0: a. Find the first five nonzero terms of the Taylor Series. b. Approximate cos(-2) to four decimal places using the sum of these first five nonzero terms. c. Compare this value from part (b) to the decimal approximation of cos(-2) using the cosx button on a scientific calculator, also rounded to four decimal places (find the absolute error between these two values).

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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4. For the function f(x) = cos x, centered at a = 0: a. Find the first five nonzero terms of the Taylor Series. b. Approximate cos(-2) to four decimal places using the sum of these first five nonzero terms. c. Compare this value from part (b) to the decimal approximation of cos(-2) using the cos x button on a scientific calculator, also rounded to four decimal places (find the absolute error between these two values). d. Describe why the calculator may be determining a more accurate decimal approximation.
Transcribed Image Text:4. For the function f(x) = cos x, centered at a = 0: a. Find the first five nonzero terms of the Taylor Series. b. Approximate cos(-2) to four decimal places using the sum of these first five nonzero terms. c. Compare this value from part (b) to the decimal approximation of cos(-2) using the cos x button on a scientific calculator, also rounded to four decimal places (find the absolute error between these two values). d. Describe why the calculator may be determining a more accurate decimal approximation.
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