H.W: Obtain Z-transform for the Followings 1) x(t) = Coswt 1 2) x(s) (s+a)? 1 3) x(s) = s(s+1)

Q: What is the Fourier transform of the function 4 cos(5t) on the interval [-x, a]| Select one: O a. 4…

A: Here we have to find the Fourier transformation of the function x(t) = 4 cos (5t) Using the formula:…

Q: 4. Find the inverse z- transform of the following 3 de XCZ)= tanh (z-)

A: Given: Let us find the inverse z-transform of the given following, xz=tanh-1z2-14

Q: A continuous-time signal is sampled 44,100 times per second, resulting in a sequence of values…

A: Introduction: The Z-transformation is a discrete type transformation with which we can transform a…

Q: Find the Fourier transform off (x) defined by Example 6. 1, |x| a f(x) = sin s ds (ii) 00 sin sa.…

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Q: I need the answer as soon as possible

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Q: 28 + 4 What is the value of the inverse Laplace transform given by L { g2 + 2s + 3 O a. 1 je+(4…

A: The given expression under the inverse Laplace can be written in the partial fractions as below:…

Q: 0. O hlt)= if t< 4 Find laplace transform for + cos(st) if +Z¢ 'a) e-4s e 40 s cos(20) + 5 sen(20)…

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Q: Determine the Inverse Laplace Transform of the functions using the Laplace of Integrals and…

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Q: Using Laplace transform to solve the IVP: y" - 5y = e", y(0) = 0, y'(0) = 0, then, we have ---…

A: As per guidelines i had solved the first question .kindly post another question separately.

Q: is de -Idc 0 K f (at) = { 1 de (b) Fourier coefficient, a If ripple-free load current in…

A: As per the question we are given the periodic function f(ωt) and we have to find the Fourier series…

Q: Find the laplace transform of f(t)= t²e³t sin 4t OF (s) OF (s) = OF (s) = OF (s) = OF (s): - OF (s)…

A: This question is related to Laplace transform, we will solve it using given information.

Q: Determine the Laplace Transform of e1- c cos /7t + sin V5 4. sin /5 12s-7 s2+7 none of the choices 4…

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Q: 8 3 Find the Inverse Laplace Transform of- + 3s2+ 12 s2– 49 3 4 A) - sin2t + -cosh ( 7t) 7 3 4 –…

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Q: (1, |x| 15 Q.1 Find the Fourier transform of f (x) defined by f (x) = %3D Hence evaluate S: sins…

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Q: 2. Given the nonlinear sine-Gordon eqn. Me - Sin u, u(t, r), (ut = ), k : constant (1) Also, given…

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Q: 2. Use the result to compute the Laplace transform of the half-wave rectified sine signal given by,…

A: 2) The objective is to find the laplace transform for…

Q: Find the laplace transform of ƒ (t) = 3t³ − 2e²t + 2 cos 2t OF (S) = OF (s) = OF (s) = OF (s) = OF…

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Q: 6) Use the definition of the Laplace transform, F(t) = | f(t) e*"dt , to find L{sin kt} . Compare…

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Q: Find the Fourier transform for S(2)%3D sin a, 2 0.

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Q: 3. e-9t cos(3t) + 5e-2t sin(3t)

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Q: 3. Find the Fourier Transform of f(t) = 0, - osts0 le-at, osts ∞ a is positive constant

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Q: What is the value of the inverse Laplace transform given by L 2s+1 8 J s2 +2s +3 O a. e-t (2…

A: Some Laplace inverse transform formulas: L-1(s-a)(s-a)2+b2=eatcosbtL-1b(s-a)2+b2=eatsinbt

Q: *: Obtain Z-transform for the Followings 1) x(t) = Coswt 2) x(s) (sta)2 3) x(s) = s(s+1)

A: We have to use standard z transforms.

Q: Determine the Laplace transform for s+2 1- F(s) = ln ³+² S-3 O Option 1 3- F(s) = √√s +3-√s-2 Option…

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Q: 2) Sólvé thẻ điffèréncé équation using z-transform yk+2 - 3 Yk+1 + 2 Yk 0, with yo = 0, y, = 1.…

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Q: Which of the following is the Laplace transform of the solution to the initial value problem x" + a'…

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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: 1. (a) Given the Z-transform of sinwt and coswt, find the Z-transform of -at sinwt and e-at coswt by…

A: Introduction: Z transformation follows many different properties. These properties are widely used…

Q: Find Laplace transform of R) =-t+1#0st<1 OA 1 es OB 1 1 es OC. 1 1 OD Non of the above. OE 1 1 e-s…

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Q: 25. а. Apply Fourier transform to solve: ди for 0 < x, t 20 Under the conditions,

A: Given,              ∂u∂t=∂2u∂x2,  for  0≤x, t≥0           (1)Under the conditions,…

Q: ) Solve the following initial value problem by using Laplace transform. y" + 4y = 4t + 12, y(0) = 4,…

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Q: Find the Laplace transform of (e^ (2t)) sinh (4t) (-s^3 + 11s 2 1. (e^ (3t)) cos (5t). A. 56s + 196)…

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Q: 28 +1 What is the value of the inverse Laplace transform given by L¯ ? I s² + 2s + 3 a. 1 (-4…

A: Explanation of the answer is as follows

Q: Determine the Inverse Laplace transform for 5s + 2 1 +6s+13) 1- f(t) = 5e³t sin 3t+ 13 e³t cos 3t O…

A: We have determined the inverse Laplace transform for ℒ-15s+2s2+6s+13 .

Q: 7 Find the inverse Laplace transform of using Residue theorem. (s+3)(s²+5s+6)

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Q: Let xfn] be a discrete-time signal whose Fourier transform between -r and r is 4 |w< 4 X(e) = 0, 4…

A: Given Discrete time signal xn whose Fourier transform between -π and π isXejw=4πw2,  w&lt;π40,…

Q: 4. Calculate Fourier transform : for a >0 r(t) = e-a'u(1)

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Q: y''' - 4y''-11y' + 30y = 4e^8t + t^2 using the method of Laplace Transform given that y(0) =0, y'(0)…

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Q: If X(z) is the z-transform of the signal x(n), then what is the z- ?transform of the signal x(-n) x…

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Q: Determine the Laplace Transform of 2e' (cos 3t – 3 sin 3t) 2(s+10) А. s2-2s+10 2(s-10) C. s2-2s+10…

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Q: 1 (iv) If f(t) = e2ºH(t), its Fourier transform is F(@) = -2+iw

A: In this question we have to find whether it is true or false.

Q: x(t)=1(t+4T)

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Q: 2. Given the nonlinear sine-Gordon eqn. ua - Sin u, u(t, z), (4 = tig), k: constant (1) Also, given…

A: Given: u(tx)=Sin u, u(t, x),  (u(xt) = u(tx)), k=constant

Q: By using a suitable Finite Fourier transform, the solution of u(0, t) = 0 u(G.t) = 0 u(x,0) =…

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Q: will rate if correct.

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Q: (2) Find Inverse Laplace transform for; 3 1 (1)F(s) = 3 (2)F(s)= s2 +4 (3)F(s)= s (s +1) s (s² +16)…

A: Given:                 Question 4: F(s)=2s2(s+4)                 Question 5: F(s)=1s(s-1s+1)…

Q: 2. Find the inverse Laplace Transform of the following left-sided signals a. X(s)=+2s +3 6s² +…

A: To find the inverse Laplace transform of…

Q: Find the inverse Laplace transform of 4s+2 F(s) = 12s+5 cos 2t – 4e-t sin 2t 4e-t cos 2t – e-t sin…

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