3. A periodic function, f(t) is defined by ƒ0={* 2-1, 0, f(1) = f(1+2n) (ii) 0
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![3.
A periodic function, f(t) is defined by
(ii)
R-1,
4
f(1) =
f(1) = f(1+2n)
Sketch the graph of the periodic function over the interval [-27,27].
Show that the Fourier series of f(t) is
2cos(2n-1)
sinnt
(2n-1)²
n
+-
OSI<A
#≤1<2n
n-l
a-l](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9d0674d-863d-4f0d-a871-dbf4fd48e1a5%2F36f975ef-449f-4084-b7de-197d6ba6c331%2F7sp3g7i_processed.jpeg&w=3840&q=75)
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- For both of the given 2π-periodical functions,find1) expansion in Fourier series in real form;2) the sum of the Fourier series for each value of x that belongs tothe interval;3) graph of the sum of the Fourier series.5) If f(x)= x?; f (x +4)=f (x) b. The coefficient n in this Fourier series is : 2 (-1)". (na) (-1)** . (na) (-1)- cos d) 2 a) b) 0 c)The Fourier series to represent the function f(x)=2x in the range - T to +n is 1 2x = 4 sin c,x - sin c,x + sin c,x - sin c̟x + sin c,x - sin cx + .. sin c̟x + Find: c,, C2, C2, C, C, Ce- C1= C2= C3= C4= C5= C6=
- please send solution like the graph I attachedcan you answer this question please?If f is the Fourier series of g(x)= √3, [16-², -4 < x < 0 then 0≤ < 4 f(2)=¯ + 2 [(0) cos (1 x) + ( ) sin (7-²)] 2 What does f(-4) equal? f(-4) What does f(-2) equal? f(-2) = What does f(0) equal? What does f(1) equal? What does f(4) equal? (0) f(1) = ƒ(4) = *
- 2. Show that the Fourier series function defined by f(x) below is an even function. Hence determine the Fourier series for the function: f(t)= 1-1, 1+1, when - <1 <0 when 0 <11. Express f(x) by the Fourier series where f(x)= {, 2, -7! please solve (f) partRecommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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