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- Find Fourier transform for the following functions:x(t)=3+(sin2wt)2Apply the translation theorem to find the inverse Laplace transform of the following function. F(s) = %3D 2s - 16 Click the icon to view the table of Laplace transforms. L-^{F(s)} =O (Type an expression using t as the variable.)Find the inverse Fourier transform of the function 10 sin(3w) w+T
- a) make the Inverse Laplace Transform of the given function. Show all decals in detail and simplify the result completely. 8s +3 F(s) = (s + 1)2(2s² + 16s + 30) b) make the Laplace Transform of the given function. f(t) = 6te-3t + te-5t sin5t + t?pls solve the inverse laplace transform of this function. you can use the table of laplace transformations in answering this 1/ (s3 +2s)(b) Determine the Z-transforms of the following expressions (ii) (cos 0 + i sin 0)"
- 3. (a) Calculate the Laplace transform of each function. Explain your reasoning (i) cos(2t) sin(4t). (ii) est cosh(3t). (iii) H(t-2) sin(4t-8). (iv) (t-3)²e-2tH(t-3).Apply the translation theorem to find the inverse Laplace transform of the following function. 6s + 16 F(s) = 2 s-10s +41 Click the icon to view the table of Laplace transforms. &`1 {F(s)} = (Type an expression using t as the variable.) ▸Q1) Find Fourier transform for the following functions: a) x(t) = 3+ (sin2wt)²