Need help asap. will rate Determine Laplace Transform of f(0) = u(t - 2)u(t – 3)....
Need help asap. will rate Determine the system response y(t) for h(t)=u(t)tu(t-2) and x(t)=u(t). [Hint: use Laplace Transform multiplication: C[x(t) *h(t)) = X(s)H(s). y(t) = tu(t)-(t +2)u(t + 2) y(t) = tu(t) + (t - 2)u(t + 2) y(t) = tu(t) + (t - 2)u(t - 2) y(t) = tu(t)-(t - 2)u(t - 2) Question 8 (10 points) What is the Fourier Transform of f(t) = 55(t - 1)? ew 5e-sw 5e-510 را که م
Determine Laplace Transform of 8(t) = u(t – 2)u(t – 3) [hint: {[u(t)] :)] = :) Useful Formula: Fourier Transform: F[f(t)] = F(w) sof(t)e-jw dt Inverse Fourier Transform: F-1[F(w)] = f (t) = 24., F(w)ejwidw Time Transformation property of Fourier Transform: f(at – to). FC)e=itoch Laplace Transform: L[f(t)] = F(s) = $© f(t)e-st dt Shifting property: L[f(t – to)u(t – to)] = e-toSF(s) e [tuce) = 1 and c [u(e) = )
Will rate asap. need help! thank you Determine Fourier Transform of f(t) = u(t – 2) + 8(t – 6)? e-j2w te-j6w -j2w e-jów (x + 70(w))e=120 (a + 78(w)ezw +e-jou Gas - 78(a)e2 te-jow
need help all those questions. 10. Solve the following systems of linear differential equations: 11. Determine the Laplace transform of each of the following functions: (a) fe)-2t+1, 0StcI , 21 (b) f(t) te (c) f(t) = cos t cos 2t (Hint: Examine cos(a ± b).) Determine the inverse Laplace transform of each function: 12. (a) F(s) = 52 +9 is Demin 13. Determine L{kt cos kt + sin kt). 0, t< a 14. Determine L(cos 2t)U(t-r), where U(t-a)={ 15. Use...
Determine Laplace Transform of f(t) = u(t – 2)u(t – 3). [hint: L[u(t)] => e3s 2s e38 e-35 s e-35 2s
Determine Laplace Transform of f(t) = e-3* u(t) for Re(s + 3) >0. s S + 3 1 S + 3 O 1 S-3 3 S- 3
Determine the system response y(t) for h(t)=u(t)+u(t-2) and x(t)=u(t). [Hint: use Laplace Transform multiplication: L[x(t)h(t)) = x(s)H(s). Useful Formula: Fourier Transform: F[f(t)] = F(w) sof(t)e-jw dt Inverse Fourier Transform: F-1[F(w)] = f (t) = 24., F(w)ejwidw Time Transformation property of Fourier Transform: f(at – to). FC)e=itoch Laplace Transform: L[f(t)] = F(s) = $© f(t)e-st dt Shifting property: L[f(t – to)u(t – to)] = e-toSF(s) e [tuce) = 1 and c [u(e) = )
The Laplace transform of the piecewise continuous function $4, 0<t<3 f(t) is given by 2, t> 3 1 L{f} (1 – 2e-st), 8 >0. S None of them L{f} = (1 – 3e®), s>0. 2 L{f} (3 - e-), 8 >0. S 2 L{f} (2-est), s >0. S
The Laplace transform of the piecewise continuous function $4, 0<t<3 f(t) is given by 2, t> 3 1 L{f} (1 – 2e-st), 8 >0. S None of them L{f} = (1 – 3e®), s>0. 2 L{f} (3 - e-), 8 >0. S 2 L{f} (2-est), s >0. S
Question 9 3 pts The Laplace transform of the piecewise continuous function 4, 0<t <3 f(t) is given by t> 3 (2, L{f} = { (1 – 3e-*), s>0. O 2 L{f} (2 - e-st), 8 >0. 2 L{f} = (3 - e-st), s >0. O None of them 1 L{f} (1 – 2e -st), s >0.