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. f(t) = - 71². 100 -T Af(t) 0,-≤t≤0 0≤t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 29E
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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.
0, -≤t≤0
f(t) =
- 7t², 0≤t<
Af(t)
100-
-T
-100-
t
5π
Af(t)
100-
- T
-100-
t
5л
...
Af(t)
100-
-T
-100-
t
5л
N
Af(t)
100-
- T
-100-
t
5л
Compute the Fourier series for the given function f on the specified interval.
f(t) ~
(Type a series using n as the index variable. 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. 0, -≤t≤0 f(t) = - 7t², 0≤t< Af(t) 100- -T -100- t 5π Af(t) 100- - T -100- t 5л ... Af(t) 100- -T -100- t 5л N Af(t) 100- - T -100- t 5л Compute the Fourier series for the given function f on the specified interval. f(t) ~ (Type a series using n as the index variable. 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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