Q3: the - Using inverse Convolution Theorom, find Fourier transform of that 6+52w-w²1 given £-'f dew} atiw = e-at H(t) for ayo

Q: Find the Fourier transform of d(t – 2). (a) ej2w (b) e-j2w (c) ejw (d) d) e-jw O (d) Moving to…

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Q: Find the laplace transform of x(t)=tcosh(6t) Select the correct response: (s^2 + 36) /[(s^2 -36 )^2]…

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Q: Find the laplace transform of (b) L-- [tan-" )]

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Q: 8) e* as4t

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Q: Use the first translation principle and the basic Laplace formulas to find the inverse transform of…

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Q: Find the Fourier transform of f if (e* jkax > 0 * ikax<0 Note : jika = if

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Q: 2. (a) For n 2 0 write out the fint four terms of the sequence z(n) 3(-3)" and then use the…

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Q: 1. Let F : L² (R¹) → L²(R¹) be the Fourier transform. That is: 1 F(f) = = √e-i(+1) e-i(x,x) f(x) dx.…

A: Problem is solved using concept of Fourier Transform.

Q: L-1 (s-4) (s2-8s-9). A) Find B) Find the Laplace transform of (te-2tcost) (s-1) C) Find L-1…

A: Explanation of the answer is as follows

Q: find the fourier transform of the function St)= -at 2.

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Q: What is the inverse Laplace transform of 2/(s-3)^2 + 2^2? (ILO2) 2 (s - 3)² +2² O Option 1 O Option…

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Q: 2. f(t) = -7(e^3t)[sinh(2t)] A. -14 / (s^2 – 6s + 5) B. (-7s + 21) / (s^2 – 6s + 5) C. -14 / (s^2 -…

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Q: If g(t) has Fourier Transform G(), show that g (t) has transform G (-a).+

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Q: Q5/Find the Laplace Transform 3-f(t) = sint cos t

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Q: Show that the finite sine transform of , 0 < x < n is (- 1y*'- p

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Q: Transform * y = 3sinh (3t) 3 s² +9 3 s² - 9 OA) O B) Transform * s² + 1 S³ + s OA) OB) 1 - sint 9 s²…

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Q: Obtain the inverse Fourier transform of sen(4(w+2)) (w+2)(3-((w+2)) F(w) =

A: The given function is Simplify the expressions using partial fractionsMultiply both sides of the…

Q: f(t) = cos 5t – 3t² s4-6s2-30 s4-6s2-150 а. F(s) с. F(s) s5+25s3 5s3-6s²–150 s5+5s3 5s3-6s2-30 b.…

A: We need to find the Laplace transform of ft=cos 5t-3t2 That is we need to find Lcos 5t-3t2 Now,…

Q: -at² - 2 @ Show: Sē jeate dt - 17€ е = a 2 -at 1 Find the Fourier Transform of f(t) = ē

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Q: Determine the Laplace transform o sin (8t + 붕). +64 -a +(a) #() +64 +64 O 43 #() 2+64 O 4v3 7+64…

A: We need to find Laplace transform of sin8t+116π Here we will us the following formulas-…

Q: Q4.) F(s) L' = 45+93 252+85+40 } 45+9 252 = = 2 = +85+40 =2 2 L" { -1 L+ تو 2/2-1 -2t ? (pat し S+…

A: Here we use the sum and product by scale of Laplace transformation.

Q: Determine the Laplace transform of (1+2)' -e +sinht 3 -St te st

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Q: Exercise 13 The Laplace transform of fie) - siat - 2U-2 is

A: Here we will use Laplace transform method.

Q: Find the Laplace transform of the following, 6/(s^2+4)^2

A: Introduction: Through inverse Laplace transformation, one can transform a function that lies in a…

Q: Q6) (a) Prove that Fourier cosine transform of f(x) = cos(x), 1 sin 3(p-1), sin 3(p+1) p-1 p+1 +…

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Q: determine the inverse laplace transform of the funtions   1. 1/2 / s^2+9   2. 1/(s+2)^2

A: If L-1Fs=ft, then L-1Fs-a=eatft. It is known that: L-1as2+a2=sinat and L-1n!sn+1=tn.

Q: Q3): Find the Laplace transform of (u²-u+e") du.

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