1.)Determine S[f] (Fourier series) if: d) f(x)=ex+x ,x∈ [-1, 1] such that f(x) = f(x + 2)

Q: Find the fourier expansion for the function whose definition - - <x <- 2 x, - 2 (x) 0, <x< 2 2

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Q: 6. Assume that the Fourier series of a function (x) on [-L, L] converges to f(x). (a) Derive the…

A: Given- Assume that the Fourier series of a function fx on -L, L converges to fx.  To find-  Derive…

Q: Expand f(x) = |sinx| in Fourier series. This function is definite for all x and represents a…

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Q: 5. Residue theorem Use the residue theorem to compute (a) ro∞ t2+1 dt.

A: Given integral is∫0∞t2+1t4+1dtThe integral is computed using Residue theorem as shown below.

Q: Examine the discrete time Fourier transform of sin) 5nn, .cos( 2 x[n]

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Q: Find the Fourier transform of 4x if 121 <a f(x) - o if 1x129

A: To find the Fourier transform of the function  fx=4x,  if x&lt;a0,    if x&gt;a

Q: Obtain the 1st three non-zero terms of the Fourier expansion for the following function, f(x)…

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Q: 4. Sketch the graphs of the following functions defined on [-7, ] and state whether the function is…

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Q: 3. Let f(x) = x sin(x) on [-7,7]. (a) Write a Fourier expansion of f(x) on this interval. (b) Use…

A: The given function is fx=xsinx on -π,π.   The Fourier series for a function fx defined on the…

Q: Find the Fourier expansion of f (x)=-x; – x<xST;

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Q: Compute the coefficient Fourier an of the *-1, 0<r <a S(2) = { 0, *<I< 27

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Q: 5 - Calculate the Fourier transform of 100 – 5t 0 <t< 20 f(t) = otherwise

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Q: Expand f(z) =1/z2 in power of z+1

A: The given problem is related with Taylor series expansion of a function. Given that,…

Q: the Fourier series for f(x) - + 4) = f(x) for all x. 30, 0<x< 20, 2<x<

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Q: Identify the set theory /logic expressions from looking at a shaded Venn Diagram attached.  Please…

A: In the given figure it can be observed that the colored space is the collection of elements that are…

Q: find Fourier coefficients

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Q: O Find inverse Z-Transform of 1- 3z-5 (1– 0.2z-1)(1+ 0. 6z-1) X(z) = ving ROC = 0.2 < ]z| < 0.6

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Q: Compute the Fourier Transform of the following function (3 , –n < x < o (1 , 0<x< TI f(x) =

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Q: Find fourier cosine transform of for 0 1

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Q: school wishes to form three sides of a rectangular playground using 120 meters of fencing. The…

A: (a) Since there are three sides of fencing, two sides will have length x, and the remaining side…

Q: Compute the coefficient Fourier f the f(x) = {" - T<x< 0 0<x<T

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Q: Find Z-transform and ROC f x(n) = {1,2,−1,2,−1}

A: Given that: xn=1,2,-1,2,-1 The objective is to determine Z-transform and ROC. Let consider,…

Q: The Fourier Transform of * x(t) = [u(t)-u(t-2)][u(t) – u(t − 1)] 8(t - 0.5) cos(2πt) - O exp(j0.5w)…

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Q: 2) For the Fourier series of the function f, ao + Σo acos (kx) + bxsin (kx) we have |bk| ≤ 211/11.…

A: Solution:2)b)FalseWe can solve it by taking a simple exampleFourier series of any function f is a0+…

Q: (-1)"–1 n2 2 1

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