The values of a periodic function f(t) in one full period are given; at each discontinuity the value of f(t) is that given by the average value condition f(t) = f(t+) + f(t) 2 Sketch the graph of f and find its Fourier series. f(t) = 0, -7
The values of a periodic function f(t) in one full period are given; at each discontinuity the value of f(t) is that given by the average value condition f(t) = f(t+) + f(t) 2 Sketch the graph of f and find its Fourier series. f(t) = 0, -7
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The values of a periodic function f(t) in one full period are given; at each discontinuity the value of f(t) is that given by the
average value condition f(t) =
f(t+) + f(t)
2
f(t) =
A.
0,
7<t<0;
1. 0<t<7
Sketch the graph of f. Choose the correct graph below.
-14
Af(t)
Af(t)
6-
LDDI
35
-14
-2-
35
B.
Find the Fourier series of f.
-. Sketch the graph of f and find its Fourier series.
-14
Af(t)
35
-14
Af(t)
6-
35
f(t) ~
(Type a series using n as the index variable and 1 as the starting index. Type an exact answer, using as needed. Use
parentheses to denote the summand. Use parentheses to clearly denote the argument of each function.)
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