Find the inverse Laplace transform of the following: 1 t sin (41) - 1 cos (41) 64 16 64 O 1 sin (41)-1 cos (41) 64 16 O 1 1 sin (4²)—cos (41) + 16 16 1 sin(41) cos(41) F(s) = 2 (s²+16) ²

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Q: Find the Laplace Transform of the following functions: F(8)= F(s) = = F(s) = f(t) = 6e -6t +91² + 5t…

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Q: . Find Fourier cosine transform of - and deduce that 2. bx e 1 e V2m log р ға cos px dx

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Q: d. Find the Laplace transform of f(t) = sin22t + cos22t + 1 ۵. 4/s b. 3/s 2/s 1/s ن d. 3t-5t²-2(t-

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Q: B) Find Laplace transform of each of the following: 1) f(x) = 0.5e3x + cos(bx) ex sin(cx) - at 25 2)…

A: Solution of the given question is like as

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Q: 3) Find the Laplace transform of h(t) = etv sin v du.

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Q: Bruce and Cruz had 294 bookmarks altogether. Bruce gave away 3/8 of his bookmarks and Cruz gave away…

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Q: Find the laplace transform of cos at using the formula £{ƒ (t)} = est f (t) dt. Hencefind the…

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Q: 9-12s-4s2 C. (s2+4)2 +12s-2s2 (s2+4)2 9+12s-4s? D. (s2+4)3 -12s-2s? (s2+4)3

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Q: The Fourier transform of x(t) = 9+4t2 IS 37|f "e 3m1F] 2 77 O X(f) = 7T OX(f) = 27|f 2 37 OX(F) = -…

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Q: Find the Laplace Transform of the following functions: 1. f(t) = (2e−4t + sin t)² 2. f(t) = 4t cosh…

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Q: Solve X'= %3D 1 2. 人 2. Given use %3D -2-2 Laplace TransForm OF A to Compute At.

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Q: Find the Fourier transform of the following function. f(t) = sin2t [H(t+1) - H(t-1)]

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Q: 4. (a – bt)?

A: Consider, a-bt2Suppose ft=a-bt2Then ft=a2+b2t2-2abt

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Q: 2) Find the (complex) Fourier transform of 1-2, if r| S1, F(z) 0. if |피> 1, I COS I- Sin z and hence…

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Q: Laplace Transform

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Q: Compute eigenvalues and eigenvectors for the matrix: GJ O λι = ί λ = - 31 = A₁ = 1 A₂ = -1 --0--0 =…

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Q: If x(t) = 0.886 +3 cos (5wot) -sin(6wot) , then an , bn a0 5,-1, -6 O 0.886,-1,-6 O 5, -1,6 O…

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Q: 2. Find the Laplace transform of the following functions. (Use the table.) (a) g(t) = 2e“ + 21²e“

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Q: 1. f(x) = 2x² – 3x + 4 2. f(x) = e-2x sin 5x 3. f(x) = x cos7 x 4. f(x) = 5 sin 3x – 17e-2x cos 3x…

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Q: 1. Compute the Fourier transform of the following signal: x(t) = e-3|t| sin(2t)u(t)

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