3. The Laplace transform L {t(t-2)(t+2)} is : (a) (1/s) ( 1/s² - 2/s) ( 1/s² + 2/s) (b) (( 3!/s*) – ( 4/s²)) (c ) (( 1/s*) – ( 4/s²)) (d) (( 4/s*) – ( 4/s))

Q: Calculate the Fourier Transforms of the following functions: 1, |x| 1

A: According to guidelines we  have to solve the  first  one question.

Q: Drag the points to sketch the graph of the given function. Determine whether f is continuous,…

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Q: 4] Find the Laplace Transform of f(t) = { S-1 (-/= + 5 = /₁1) (1te - 1/₁1) (a) (c) S S - I (b) (d) S…

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Q: Find the Laplace transform, if it exists, of each of the following functions f(t)= {e-2x (5 sin2x -…

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Q: For the positive time sequence, the inverse Z-transform of X(z) shown below is: d d X(z) u(z) dz dz…

A: Given that Xz=ddzzz-1ddzuz To find the inverse transform of X(z):

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

Q: Let ƒ(t) = 0 3(t 6 - if t 6 Find the Laplace transform, F(s) of f(t).

A: We have to find Laplace transform,  of .

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: (1-6 (1-5 (1-5)

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Q: Find the laplace transform of f(t) = 2t¹ - 3e³t + 10 cos 2t

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Q: Find the inverse Laplace transform: 1-3s F(s) = s²+2s +5 O a. 3/2+e-[(3/2) cos 21 - (9/2) sin 21]…

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

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

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: Q1) using Fourier transform find x(t) below x(t) = [e-3tu(t) * e-6*u(t)] dt

A: Solution is given below

Q: 8(a) Using Convolution theorem, find the inverse Laplace transform of s2 +aP

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Q: Find the following Z-Transform x₁ [n] = (0.8)" •

A: note :  Since you have posted multiple questions, we will provide the solution only to the first…

Q: 11: The Laplace transform of the function f(x) = xe4* is a) 1/(s – 4)2 b) 1/(s + 4)? c) 1/(s – 2)4…

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Q: The Wigner-Weyl transform is given by W (r,p) dy V 2mh a) Proof that |W(2)* = / dp W(r.p).

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: d³c(t) dt3 d?c(t) , dc(t) + dt d?r(t) dr(t) + 4- dt + 3r(t) +3- + 5c(t) = dt2 dt2 dc(0)_ d²c(0) c(0)…

A: Applying the laplace transform of the equation.

Q: The Laplace transform of L[2 sin 5t sin 4t is s+ (1)2 s2 + (9)2. 2s s2 +(1)2 s2 + (9)2 s2 + (1)2 s2…

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