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10. (a) Find the Fourier Series S(x) of f(x) = cos(x/2), -

10. (a) Find the Fourier Series S(x) of f(x) = cos(x/2), -

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
Section4.4: Derivatives Of Exponential Functions
Problem 6E: Find derivatives of the functions defined as follows. y=-4e-0.3x
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10. (a) Find the Fourier Series S(x) of f(x) = cos(x/2), -<x<T. (b) Graph S(r) for −3″ < x < 3. Does S(r) represent a continuous function on R? 1 (-1) k 4n² - 1 ∞ (c) Use (a) to evaluate Σ n=1 4n² 1 ∞ and Σ n=1
Transcribed Image Text:10. (a) Find the Fourier Series S(x) of f(x) = cos(x/2), -<x<T. (b) Graph S(r) for −3″ < x < 3. Does S(r) represent a continuous function on R? 1 (-1) k 4n² - 1 ∞ (c) Use (a) to evaluate Σ n=1 4n² 1 ∞ and Σ n=1
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