a) Find the inverse z-transform of the following: i. Z-1z (z²+4z+1) 1 (z-1)4 4 Z-1 Z(z+1ª) 2 (z-13)3 ii. z-152. z|2| sin 3 ii. [z²-(2|2| cos 3)z+|2|2]

Q: Q.1) Find the Laplace transform of the following: a) f (1)=3sin2 21 b) f (1)=3 +° c) f (1)=2cos2t…

A: To solve the following problem we will use the standered result of laplase transformation

Q: equations: b. cos(3n) + 2 sin(3n)

A: As per the policy of bartleby the provisions is to solve only one question at a time

Q: 2w Inverse fourier transform of is w²+9 Select one:

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Q: Determine the inverse z-transform of X (2) : r (n] is noncausal (1-=1)(1-3-1+3=)’

A: Given that, Xz=1-z-11-13z-11-73z-1+23z-2 x[n] is noncausal.

Q: Laplace transform of t² sin2t. [12s²-16] [2323 .(s²+4)². 35²-4 [(s²+4)³. [12s²-16 .(s²+4)6 O [12…

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Q: (b) Determine the Z-transforms of the following expressions 6n+5(n+1)-4(-8)" (i)

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Q: The Discrete-Time Fourier Transform 1) Use the Fourier transform analysis equation to calculate the…

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Q: Given the following Fourier pairs: e-at → a+iw Find the Fourier transform of, a) x(t) = e-tu(t) +…

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Q: 3.) +248 3s-16 s²-24s+69

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Q: IV. z-transform Determine the z-transform of the following 1. Xan = (1, 3, -5, 2, 4) 2. Xsn = 3cos()

A: Z transform

Q: Find the inverse transforms of the following: 3 Ans. 3e4t 1) S+ 4 8s Ans. 8 cos 4t 2) s² + 16 6 Ans.…

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Q: 2) Find the (complex) Fourier transform of 1-2, if r| S1, F(z) 0. if |피> 1, I COS I- Sin z and hence…

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Q: 2) Find the inverse Laplace transform of (s + 1) b) s2 + 2s + 10 26 – s? - a) s(s? + 4s + 13)

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Q: 2.) 98-8 s² +248

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Q: Q)find the inverse Laplace transform p + 1 1) L-' (p² – 1)² 1 2) L-1 \p(p² – 1)3) 1 L-1 (p² + 1)²/

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Q: 5. Determine the Laplace Transform of te2t cos5t s2-2s+11 a. (s²+4s–29)² s2+2s+21 b. (s2+4s+13)2…

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Q: Prove the convolution theorem below, Eqn. 19a.

A: In this question, we prove the convolution theorem for Fourier inverse transform…

Q: Determine the Fourier-series coefficients of the following signal: i) Isin(2nt)|

A: Note: As per bartleby instruction when more than one question is given only one has to be answered.…

Q: 1 1 1 1 1 (z + 1)(z + 3) z +4 (z + 1)(z + 3) 1 1 2 z + 1 2 z + 3 3 1 1 1 2 z + 1 2 z +3' 1 1 1 1 +…

A: By using partial fraction method we solve the required problem as follows :

Q: 3. Find the inverse Laplace transform. a) 8s2 − 4s + 12/s(s2 + 4)

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Q: Find the Fourier coefficients of f(z)=7z-6. That is, find the numbers a, a, and by (where a, and by…

A: Given f(x)=7x-6 over x∈(-π,π) Fourier coefficients:  a0=12π∫-ππf(x)dx=12π∫-ππ[7x-6]dx…

Q: Let f(x) = xsin(x), −â < x < π, then a) Determine the Fourier Transform of f(x) b) Find 8 (−1)” n² -…

A: Introduction: The Fourier transform is a mathematical operation that decomposes a function of time…

Q: a. Find the inverse z-transforms for each of the following 2z² i. F(z) = (2+2)(2+1)² 2 ii. F(z)=-…

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Q: Find the Laplace transform of f (t)= 2u(t +1)cos t +e 5(t-2) %3D

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Q: 2 6. The inverse Laplace transform of F(s) = is s+c a) 2e-c (t+b) u (t+b) b) 2e-c (t-b) u (t-b) c)…

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Q: N T (1-z-¹) 5 3 1 2 1 <2 시리<

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Q: 15. (a) (i) Find the Z-transforms of cos and 'n(n+1) no A (ii) Using convolution theorem, evaluation…

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Q: Home wonK Find the Laplace Transform of the following :. -LE Px)] - £ [ピーツメャ] %3D 2- k [ sinkz] ,

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Q: 1. Find the Laplace transform of the following: a) f(x) = x5 e-* b) f(x) = x3 + 3 cos2x 2. Find the…

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Q: 6) Find Fourier transform of: 8 1) e-n(v²+y) (x − y)e-lx-v\dy 88 f 2) nye dy -πy²

A: According to our guidelines,i can solve only one please reroute the remaining question.

Q: 7/2 Q5:-(3t°-2t* – te 3sin 6t +4 cos 4t)eC + t e3t -St As 360 48 (S-2)5 (s-2)5 18 (s-2)²+36 4(S-2)…

A: Answer of question (i) has  typing error