8. A periodic function is defined as follows: (3 for-1

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 25E
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8. A periodic function is defined as follows:
f(t) = {
(3 for-1<t <0
for 0 ≤ t < 1
(6
i.
ii.
iii.
where f (t + 2) = f(t).
Sketch f(t) and state the period.
Comment fully on whether it is odd/even/none of these.
Find the first four non-zero coefficients for the Fourier series expansion.
Transcribed Image Text:8. A periodic function is defined as follows: f(t) = { (3 for-1<t <0 for 0 ≤ t < 1 (6 i. ii. iii. where f (t + 2) = f(t). Sketch f(t) and state the period. Comment fully on whether it is odd/even/none of these. Find the first four non-zero coefficients for the Fourier series expansion.
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