The values of a period 2 function f(t) in one full period are given. Sketch several periods of its graph and find its Fourier series. 0 f(t) = 3

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 48E
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The values of a period 2 function f(t) in one full period are given. Sketch several periods of its graph and find its Fourier series.
4:
3
f(t) =
0 -<t≤0;
0<t≤n
Sketch several periods of its graph. Choose the correct graph below.
O
Af(t)
t
2π
B.
O
Af(t)
2π
O C.
- 200
Af(t)
t
2π
Af(t)
2₁
Find its Fourier series.
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.)
Transcribed Image Text:The values of a period 2 function f(t) in one full period are given. Sketch several periods of its graph and find its Fourier series. 4: 3 f(t) = 0 -<t≤0; 0<t≤n Sketch several periods of its graph. Choose the correct graph below. O Af(t) t 2π B. O Af(t) 2π O C. - 200 Af(t) t 2π Af(t) 2₁ Find its Fourier series. 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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