What is the relationship between e -st L [u(t)] = F(s) = 5 e² 44 dt and the following transform 8 -st N[u(t)] = R(s, ws = √ e = 4/ (wt) at 0 where N {1}= → N{+} = W 52 N{e}= 5-aw الواجب :

Q: 1. Let F : L² (R¹) → L²(R¹) be the Fourier transform. That is: 1 F(f) = = √e-i(+1) e-i(x,x) f(x) dx.…

A: Problem is solved using concept of Fourier Transform.

Q: O. What is the Laplace transform of f(t)=2t+3? * (2+3s)/s^2 2+(3s/s^2) 1+(3s/s^2) ) (1+3s)/s^2

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Q: ts] Transform the following to principal аxes: а. 5xỉ + 2x1x2 + 5x3 = 10

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Q: Given that the Fourier transform of e- πt^2 is e- πs what is the Fourier transform of the following…

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