QUESTION 9.42 If you know that f is the fourier series of the following: g(t) = {5, -7 < t <0 249-t², theh: (fill in the f(t)= + 0≤t <7 blanks) 2 ((_____) cos(^T t) + (_ Now solve the following: f(-7)= f(-3-5)= f(0) = f(1) = f(7) =_ _) sin (4=t))

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A: This is a question of Fourier analysis.

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A: Given function is  ft=cost. We know that the Fourier series of a function can be written as:…

Q: (a) Write down the equation and its range of the periodic function shown below -4 -3 п -2П -П 0 X+ π…

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Q: Consider the following function S++2 : -2 <t<0 f(1)=- +-2 0<t<2 f()=f(+4x) i) Sketch the above…

A: (i) First we graph the function in the interval -2π&lt;t&lt;2π, then will extend the graph in…

Q: M=5 2. Find the value of an (n + 0) in the Fourier series expansion of the functions f(x) = sin(Mx)…

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Q: Find the Fourier series for f () =| |, |< 2

A: First of all from next time capture the image clearly.

Q: If f is the Fourier series of g(x) J 3, x < then %3D | 16 – a², 0<x < 4 NT f(æ) = + x) + sin 4 What…

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Q: If csc e = 1/3t, then where defined, cos 0 A) Square root of (1 – 9t²) 3t/squareroot of (1 – 9t2)…

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Q: 4. Express the following function using Fourier series assuming that this function is periodic with…

A: We first write the function as piecewise and then find the Fourier series.

Q: 31. f (x) = 1, 0 Answer Solution (a) L = T. For an even extension of the function, the sine…

A: In both cases, the Fourier series is obtained. Now the formula for the Fourier series coefficient…

Q: The complex Fourier series of a periodic function f(x) is given n+i 7i n4 +i inI by е 5 Then, for…

A: we have given  complex fourier series of f(x)=∑-∞∞7in+in4+ieinπx5  ....(i)we know that  complex…

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Q: 1. Graph 27 -periodic extension and find the Fourier Series of the function: S(x)=x,

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Q: 3x Find the sum of the Fourier series of the function Ax) = e* -1<x 1 at x = -1 OA g3 O B. -3 OC 3-3…

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Q: 9. If a, =1.57, a, -(-1) -11. b, --)" f(t) and period f(t) =f(t+4) up to n=2 is then the Fourier…

A: Fourier series of the function

Q: Pls solve this question correctly instantly in 5 min i will give

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Q: Problem 22. Tom For a 2 P-Penodic piecewise continuous function, the Parneval Identity is given by…

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Q: Problem I: Find the Fourier Series representation for the function: f(x)=x| on the interval [-7,r].…

A: Given:-            Here,         f-x= -x=x= fx fx = even function.hence bn= 0

Q: For Problems 13-16, determine if each pair of figures is similar. 13. 10 7 8. 7. 10 88

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: Let f(x) = 4x² + 9x +5. Evaluate the following. (a) f(3) = 68 ✓ (b) f(a) = 30 (c) f(2a) = 87 (d)…

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A: Every periodic function can be represented as a series of sine and cosine functions. The series is…

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A: The function given to us is as follows: fx=ex2x-1 We know that the Fourier series of a function is…

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A: To find the fourier sine series of the function f(x)=3 on the interval 0&lt;x&lt;4, we need to…

Q: QUESTION 5 Solve the following two parts. (a) Write the Fourier series for cos? (x), x€l- n,m) even…

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Q: 4 sinx+=sin3x +=sin5x+..... and that when x=, 1 1 6. If it is given that the Fourier Series is f(x)=…

A: The Fourier Series is

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A: Consider the given function over the given interval.

Q: QUESTION 9.43 Assuming f is the fourier series of the following: g(t) = 6t+5 for -12 <t<12 then…

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Q: Consider the following function f++27 : -27<1<0 f(1) ={ -27 : 0<t<2z f(1)=f(t+4x) i) Sketch the…

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