If f(t) = e-atcosh(bt), its Laplace transform is given by %3D (s-a) (s-a)2-b² (s+a) (sta)²-b² (s+b) (s+b)²-a² (s-b) (s-b)²-a²

Q: = Find the inverse Laplace transform f(t) = L-¹ {F(s)} of the function F(s) = f(t)= [38+4 +36 = L-1,…

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

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Q: Let Rt) be the inverse Laplace transform of 7s2 + 15s – 6 F(s) = (s? + 6s + 10)(s – 2) What is 3/2)?

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Q: Show that the Fourier transform of f (x)= e*/2 is e

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Q: Find the Fourier transform F(e-az) of f(x) = e-a if x > 0 and f(x) = 0 if x 0.

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Q: Find the inverse Laplace transform of: 1 1+2s (a) (b) s+7 - 2 s+4 (c) (d) s' +6s +10 s' + 2s +5

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Q: 5s + 7 (s + 2)2 A. f(t) = e-2t (5+ 7t) C. f (t) = e-2* (5 – 7t) B. f(t) = e-2t (5 + 3t) D. f(t) =…

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Q: Calculate the fourier transform F (P) following function: f(x) = ¹/2x²(x³ + 3x²-5x) OF # Where F(p1…

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Q: 6. Find the inverse Laplace transform of the function (3²-²)(as + b) I(s) = (s² + a²) (s² + 3²)

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Q: sinh ot + cos ot

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Q: Find the inverse Laplace transform of [(18s)/((s2+9)2)]e-2s

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Q: Find the Laplace transform of  f(t)=-2u2(t)-3u3(t)+5u6(t)=......

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Q: (a) A(s) = 5s-44 (s-6)²(s+1) -3s

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Q: Compute the Fourier transform of the following function: f(x) = e-a(r-x0)²+iqx (5) where a > 0 and q…

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Q: 3s + 4 Find the inverse Laplace transform, L-1 ((s + 1)2.

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Q: Find the Fourier Transforms of the indicated function: f (x) = e-3x for x > 0 and f (x) = e2x for x…

A: We have,fx=e-3xx>0e2xx<0 To Do: Find the Fourier Transform of the given function.

Q: nsform of 20 sinc (10(t - 10)

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Q: Find the inverse Laplace transform of 7s + 3 82 + 17 8 >0

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Q: find the inverse laplace transform: F(s) = (s2-10s-25)/(s3-25s)

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Q: -Obtain the Fourier transform of f(t): = sin (30) -t²+7it+12

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Q: Determine the Fourier transform and plot the magnitude S1, It| < T/2 l0, otherwise (ii) x(t) = f(x)…

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Q: Find the Fourier transform $\tilde{f}(p)$ of the function 4x²e-5¹ for x ≥ 0 for x < 0. f(x) = {…

A: fx=4x2e-5xfor x≥00for x&lt;0

Q: 1 Y(s) : s2 + 7s + 10 a. y(t) =(e-5t – e24) b. y(t) =(e-5t + e²') c. y(t) =(e5t - e-2t) d. y(t)…

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Q: s+4 (d) s' + 2s + 5

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Q: Find the Inverse Laplace transform of 5s-2 s² (s+2) (S-1) a) b) S (5² +1 (s²+a²)(s²+b²)' a² # b², ab…

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Q: 3s-2 F (s) 2s2 –6s-2

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Q: find the Laplace transform of e4x O 1/(s + 4) O 1/(s² - 4) O 1/(s - 16) O 1/(s - 4) O 4/(s - 4)

A: Given expression e4x. The objective is to find the Laplace transform of e4x.

Q: Find the Laplace transform of 1.- L(2x + 3x³ - 5x² + 7x - 1) Value of 3.33%

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Q: Find the Fourier cosine transform of e-x.

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Q: Find the Fourier transform of f(t) = 5e-3|t|_ %3D

A: To determine the Fourier transform of the below function. ft=5e−3t

Q: Find the Inverse Laplace transform of F(s) = 8Bs 7C (s + 3) (s - 4) (As − 1)

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