What is the inverse Laplace transform of 4s/(s^2+16) - 36/(s^2+16)? 4s 36 s²+16 s²+16 4cos(4t) - 9sin(4t 4cos(4t) + 9sin(4t O 4cos(t) - 9sin(t) 9cos(9t) - 4sin(4t

Q: 1. f(t) = 5(e^-4t)[cos(10t)] A. (5s – 20) / (s^2 - 8s + 116) B. (s - 4) / (s^2 - 8s + 116) C. 50 /…

A: Laplace transferom of the function

Q: Use the Laplace transform to solve the initial value problem y'" + y' – 2y = 2e*, y(0) - - 1, y'(0)…

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Q: Inverse Laplace transform of (a) e cos 2t+4e* sin2t (b) e cos2t-4e* sin2t (c) 4e cos2t-e* sin 2t (d)…

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Q: 4s 4 2-¹ (1-16) - O (5/2) e^(-4t)+(3/2) e^2t O None of them O (5/2) e^(-4t)+(3/2) e^4t (5/2)…

A: The given inverse Laplace transform .We have to find the inverse Laplace transform.

Q: Identify the inverse Laplace transform of the function Multiple Choice O(e+te+e-4¹) u(t) O O (½ e²¹…

A: 1)L-11s+a=e-at2) L-1F(s+a)=e-at.L-1F(s)

Q: Determine the Inverse Laplace Transform of F(s)=(10s + 16)/(s^2+8s+32). The answer is…

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Q: 4s²-5s+6 (s+1)(s²+4) 2- Inverse Laplace transform for a) f(t) = 3et+ cos2t - 3 sin 2t b) f(t) = et +…

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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: 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: Qs! Find the fourier transform of

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Q: бу"" + 5у" + у'%3D0 У (0) %3D — 2, у' (0)%3 2, у" (0) 3D 0

A: We have 6y'''+5y''+y'=0 with initial conditions y0=-2, y'0=2, y''0=0 Now, apply Laplace transform on…

Q: Find the laplace transform of the following. 1-) f(t) 3 3U(+) + = 2.) fl+] 3.) h(t) = + 8(+-2) +…

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Q: Laplace transform of ō(t-a) is Select one: O a. e^ōs O b. e^(-as) О с.елas O d. e^(-ös)

A: The given function has a standard formula and is given by

Q: Ⓒ Last + 3 sin4t4 3 2 h + ²³ - t ² + 5 + ² 2 4t -3t - 13 & 13ett - 5e³t}

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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: Compute only one the inverse z-transform of 02 a) X(z) = 5)X(z) = Q3 ROGIZ| >3- ROC Z > 3 %3D %3D…

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Q: Find the inverse Laplace transform. 1.1.1 s^2/(s^2+1)^2 1.1.2 1/s^2+4s+20 1.1.3…

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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: I don't understand why the four transform F{(a/sqrt(pi))*e^-a^2*x^2)}=e^-alpha^2/4a^2. Can you…

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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: The Wigner-Weyl transform is given by 1 W (r,p) 2nh a) Proof that V(2)* = / dp W (z.p).

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

Q: Sº 2 19. s³ +85² + 7s

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Q: On the funchion FEs)- -8S+5 s +81

A: Here, in this problem inverse laplace of the function is to be determined. 2 different formula has…

Q: Let. a 3 = (-) = -(1) - P = ( ) 5 and a) Find Fourier Coefficient of b with respect to a . b) Find…

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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: 2) fece). (1-+*)* + + cos

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Q: Ans : Z 5) uck)

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Q: Prove that the Dirac delta function satisfies +∞ 1 S(t – t') = 2/= t 2π ģ exp(-iw[t − t']) dw,

A: First recall the definition of Fourier transform and inverse Fourier transform of a  function The…