4. Consider the funetion defined by S(2) = sin(2r). a. Determine the Maclaurin series expansion of f. b. Show via power series expansion that D,(sin 2r) = 2cos 2r. c. Using the first five terms of the Maclaurin series, approximate the value of f(2). Compare it with the actual value of f(2).

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. Consider the funetion defined by
S(2) = sin(2r).
a. Determine the Maclaurin series expansion of f.
b. Show via power series expansion that D,(sin 2r) = 2 cos 2r.
c. Using the first five terms of the Maclaurin series, approximate the value of f(2). Compare
it with the actual value of f(2).
Transcribed Image Text:4. Consider the funetion defined by S(2) = sin(2r). a. Determine the Maclaurin series expansion of f. b. Show via power series expansion that D,(sin 2r) = 2 cos 2r. c. Using the first five terms of the Maclaurin series, approximate the value of f(2). Compare it with the actual value of f(2).
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