Find the inverse Laplace transform of- fes 3² (5²+4) a. ₁ (t-1)U(t-1)+sin2(t-1)U(t-1) b. (t-1)U(t-1)-cos2(t-1)U(t-1) c. (t-1)U(t-1)-sin2(t-1)U(t-1) d. (t-1)-sin2(t-1)U(t-1)
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- -Obtain the Fourier transform of f(t) = sin (3t) -t²+7it+12Show that d(w) ==}6(w − 1) +5(w+1)] is the Fourier transform of cos(t). - Show that d(w) = −ix[8(w − 1) − 8(w+1)] is the Fourier transform of sin(t).The Fourier transform of 20 sinc (10(t - 2)) is 1. 2 rect (f/10) 2. rect (f/10) e14nf 3. 2 rect (f/10) ei4nf 4. 2 rect (f/10) e*j4rtf
- Find the Fourier cosine transform of f(x) = e-2x + 4e-3xThe Laplace transform of L[2 sin 6t sin 3t] is 2s s2 + (3)² s2 + (9)² s+ (3)2 g2 + (9)² s² + (3)² s2 + (9)² s2 + (3)2 s2 + (9)²Find the Fourier transform of t<- 2 f(t)= 1 2 1The Fourier Transform of * x(t) = [u(t)-u(t-2)][u(t) − u(t − 1)] 8(t – 0.5)cos(2πt) - O exp(j0.5w) O -exp(-j0.5w) O exp(-j0.5w) O -exp(0.5w) O -exp(j0.5w)a) Find the Fourier Transform of f(x) √2лx³ ex = 2πx³еx, 0The Fourier transform of the function f(t) = 2e-2t cosh 2t u(t)is: 2 4 A- πδ (ω)- B - πδ (ω) + j4w- j2w+w²° C- πδ (ω) + D- None of the above. jw+w?'SEE MORE QUESTIONSRecommended textbooks for youAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning