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: Find the Laplace Transform of h (t) = t2 e-3t (*+3)" 4. (8+3) (8-3)" (s13)"

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Q: Find the Fourier transform of f(x) without using the Fourier transform table. f(x) = e-l×l. (-0 <x<…

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Q: Find the inverse Laplace transform (a) In 2 s+2

A: (a) we have to find the inverse Laplace transformation of  We use the differential formula for…

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 F(s) = L{f(t)} of the 3t-18 function defined on the interval J\") 190 U),…

A: (.)  The given function is ,           we find the Laplace transform of the given function .here…

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: c) Use a pair (table) to findz-transform of x(n) = 20.65 √2 cos((-)n-1.415)u(n)

A: Introduction: There are many properties that are followed by Z-transformation. It helps us to…

Q: In comparing the Laplace transform L[(t-4)².H(t-4)] to the rule L[f(t-a) H(t-a)] you will find that…

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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):

Q: Find the Laplace transform F(s) = L{f(t)} of the function f(t) = (1 – t)(h(t – 1) – h(t – 3)), for s…

A: Rewrite the given function as follows.…

Q: L[cosh(@ot) u(t)], C[sinh(@et) u(t)] and L[cos (@t) u(t)

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Q: 10(2s+5) 6. Find the inverse Laplace transform of I(s) and find s2+3s+2 I(s) when s= 0.1 sec.

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Q: The Laplace transform of x(t) is X(s). Given x(0)=2 and x'(0)=-1, write an expression for the…

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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: Find the Laplace transform of f(t) = 4 + 3t – 5t2 – 2(t – 1) а. (6s2 -s - 10)/s3 b. ( 6s? + s -…

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

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Q: Q5- Find the Laplace transform, if it exists, of each of the following functions f(t)= {3t²6t+ e-5t}…

A: The given problem is to find the Laplace transform of the given functions.

Q: Q)find the inverse Laplace transform 2p L-1 - (p² + 1)²) 2) r (m[1+) In

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Q: Find the laplace transform of t sin (t) A. 2s/(s2+1)2 B. 1/s2(s2+1) C. 1/s2 + 1/s2+1 D. -…

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Q: 6. Find the inverse Laplace transform of the function (B² – a²)(as + b) (s² + a²)(s² + B²)" I(s) =

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Q: Find the Fourier transform of f(t) = {, t 0 12e-t O 2/(1+jw) O 1/(1+jw) O -1(1+jw) O -2/(1+jw)

A: We have to find the Fourier transform.

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: The Laplace transform of the function f(t) = (t + 1)² – t² is: 2 (d) ++ (e) None of these (s+1)2 ()…

A: The Laplace transform of a function is given by , where is a Laplace transform, it is also…

Q: Solve for the laplace transform x(t) = 4(t/5) e-t/6

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Q: Suppose solving an equation by Laplace transform results in 4 (s+ 18) Y (s) : %3D (s+9)² * Evaluate…

A: Laplace transform of the function y(t) is defined as Y(s)=∫0∞e-sty(t)dt, where s&gt;0. Since the…

Q: Q.2) Find the inverse Laplace transform of (s + 1) b) s2 + 2s + 10

A: