Compute 32+n21-3n n=0 If this is divergent, input "O" as your answer If applicable, submit answers as a decimal (up to 4 digits)

Q: 2. Use Parseval's formula and a suitable Fourier series to sum 2n=1 (2n–1)? · 1 Hint: Look at Table…

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Q: Q 5. Obtain a Fourier series to represent f(x) = x – x2 from x = -n to x = n. Hence show that -÷ +…

A: Given,  Find the fourier seroes of the function to show that

Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: Given, x1/2+y1/28 where n=8 total number of terms =8+1=9 middle term =n2+1 82+1=5 5th term is a…

Q: 6. Evaluate the z transform of x(n) = a-"u(n).

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Q: 1) Find the final value of the sequence {Xk} with Z-transform of F(z)= Mz2-z , where M is any %3D…

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Q: Express f(x) as a Fourier series in the inerval 4 %3D 12 - T<x<T

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Q: Find the Fourier series Expansion for the function between (-2 < X < +2) F(t) = VN + Nt²

A: Given F(t)=N+Nt2 The fourier series is, F(t)=a02+∑n=1∞ancosnπx2+bnsinnπx2 Where…

Q: A: Find the Fourier series expansion for the following function. F(t) = 2t from - 1 to n

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Q: Determine the an of the Fourier Series of: -3, 3, - 1<t<0 f(t) = { 0 <x < 1

A: Given ft=-3-1&lt;t&lt;030&lt;t&lt;1

Q: to find the z-transforms of following: {ak-3} (3k-4)

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Q: Find the Fourier series expansion for: x2 f(x) = x + ,-n <x < n 4

A: Let us consider the function f(x) on the interval [-L,L] is obtained as…

Q: A signal f(t) is defined as f(t) = [3 cos (2nt) + 5sin(2nt)|². Is this a valid Fourier series…

A: step-1given thatf(t)=3cos2πt+5 sin(2πt)2it can be written asf(t)=9 cos22πt+25…

Q: Expand in a Fourier series f (x) = a², 1 < x < 1 then find 2' n4

A: Given that fx=x2 and find Fourier series in -12&lt;x&lt;12. The Fourier series is…

Q: f(t) = 2t + n, - n<t< N

A: Fourier Series: The general formula for the Fourier series of ft in the interval a&lt;t&lt;b is…

Q: 7.29. (a) Expand f(x) = cos z, 0 << r, in a Fourier sine series.

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Q: 1. Determine the z-transform of the sequence x(n)={2,1,-1,0,3}

A: Since you have ask more than one question, we will answer the first one. If you want other question…

Q: Determine the following values for the nth partial sum of the Fourier Series of the given function:…

A: Given f(x)=x+9           -π,π

Q: One of the following divergent 8. 2n

A: let us take option number d)  ∑n=1∞an=∑n=1∞(-1)n2n2+12+3n2⇒an=(-1)n2n2+12+3n2

Q: Which of the following are convergent or divergent? Show your work. 72 i. En=2 lnn ii. En=1 3 1+ Vn…

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Q: Determine the an of the Fourier Series of: -3, f(t) = { 3, -1<t<0 0<x<1

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Q: The z-transform of [n] = u[-n] is

A: Using Z transform

Q: Q2. Find the Fourier Series Expansion of the following functions: Sx + 2, lx - 2, 0, if -nS x <0 if…

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Q: What is the z transform of x(n) = 25(n+ 1)+ 7õ(n)+ 55(n – 1) + 20(n – 2) 2z + 7+ 5z-1+ 2z-2 2z + 7+…

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Q: 15. Let z = 2cos0 + i(1 – 2sin0) where -n < 0 < n Show that Iz – il = 2

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Q: [2, if - 2<z < 0 1, if 0 <r< 2 3. Find the fourier series expansion for f(r) = and show that 1 ( a)…

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Q: 1. Determine the Fourier series of the following 17 (1|5) fle) = lo d>5) a. 15 (-7sts7) o otherwise…

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Q: Determine the z-transform of the following: [信) n20 x(n)= 18 nco 5 <2 (1-2z-1) 5 --Z -1 공시디 2…

A: Z transform of the function

Q: Show that the Fourier series of the periodic function f(t) of period 2m, defined as S(t) = { t/n, if…

A: Since you have posted multiple questions but according to guidelines, we will solve first question…

Q: Find z-transform for 8 © x(n) = 5ucn) - 2 (055 un) = 5 e(n) - 2 (0-5) u(n)

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Q: Find the nverse 2 -1 2 A =|1 0 1 f it enists. 0 3 -1

A: The given matrix is A=2-1210103-1. To find the inverse matrix, augment it with the identity matrix…

Q: 1- Find Z-transform if x (n) = bln|

A: The given function is xn=bn To find its Z-transform.

Q: 9n + 2" 46. Prove the divergence of n=0

A: Given series  ∑n=0∞9n+2n5n where an=9n+2n5n.

Q: Find the Fourier Series Expansion of the following functions: if – 2<x <0 Sx + 2, f(x) = lx- 2, if…

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: Q2/ Expand the following function in Fourier series. 3n + 2x - T< x<0 f (x) = IT + 2x 0<x<n °

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Q: Q3A Evalube z-transform for = 28(n) -s(n-1) x (n)

A: Z transform

Q: Find the Fourier series expansion for f(x) = x+-nsxSn

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Q: Determine the an of the Fourier Series of: f(t) = {-15; -3<t<0

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Q: Expand f(x) = x,0 < x < 2n in a Fourier series if (a) the period is 27, (b) the period is not…

A: We have to expand fx=x2, 0&lt;x&lt;2π in Fourier series if: a the period is 2π:

Q: 5.4 (a) Compute the Fourier series for the function x2 on the interval 0 < x < L, using as a basis…

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Q: (b) x[n] is a periodic signal with No = 8 and the Fourier series coefficients 0, X [k] = k (mod 4) =…

A: b) x[n] is periodic with period N0=8 So its Fourier series coefficient is also periodic with period…

Q: Express f(x) = cos wx, - <x<n, as a Fourier series. Hence prove that 2w 2w coton = 2w + 12)(a)²-22)…

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Q: find Fourier series [o, 2w] an <x<π fcx) = TくXく 2w

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Q: Find Fourier series [o, 2w] an ○くXく π fcx) = o <×< 2下

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 6. (a) Express the function f(x) = x in on [0, T] as a Fourier cosine series S(x). What is S(-1)?

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Q: 5 If f(x) is gen then use Fourier series to prove that b, =0

A: We have f(x) is even .

Q: 21. Write the equation 1+3+6+10+…+ п(n+1) 2 п(п+1)(п+2) 6. using summation notation. Prove that the…

A: The equation 1+3+6+10+...+n(n+1)2=n(n+1)(n+2)6 is written as: ∑k=1nk(k+1)2=n(n+1)(n+2)6So the…

Q: {3* + (-3)k + 3k}

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Q: Find the sum of 1+++t using Fourier series expansion if f(x) a when [0,T] and 2 T-x when [ T, 2 T].

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Q: Find the sum of 1+1/1^2 +1/3^2 +1/5^2 +⋯, using Fourier series expansion if f(x) = a when [0,π] and…

A: Given:- The sum 1+112+132+152+............ if f(x)= a when 0,π and 2π-x when π,2π