Please help on this question! I will rate!
Please help on this question! I will rate! Calculate the even and odd content of the...
dan Multiplication by t. 8. Find the following Laplace transforms using the formula L[t"f(t)] = (-1)", (a) [t3e-36] (b) C[(t + 2)2e'] (c) C[t(3 sin 2t - 2 cos 2t)] (d) L[tsin t] (e) C[t cosh 3t) (1) [(t-1)(t - 2) sin 3t] (g) [t3 cost] 9. Applying L[t"f(t)] = (-1)", , calculate (a) Sºte-3t sin t dt (b) Scºt?e-t cost dt recimento e contato Llegarsim 225 (-1)" IEC d'Fs) dsh
4. (20 points) Please find the even part and odd part of the following signals. a) x2(t) = sin ) b) x4(t) = e-stu(t + 2)
Needing help! Please show steps and the transform pairs used so
that i may understand better! Will rate
Using known Laplace transform pairs and properties of the Laplace transform, give a Laplace domain expression for the following time-domain signals. a) f(t)= u(t-3).e® b) f(t)=sin(5t) cos(5t) el2: c) f(t) = 2t sin? (41)
Use the even-odd and periodic properties of the trigonometric functions to simplify. a) csc(t) - 4 csc(-t) b) -2 sin(3t + 2) - 3 sin(-3t)
NOTE: PLEASE DO Q.3 Part d and e
Answers are given below:
Question 3 (16 marks) Consider the periodic signal T v(t)24 cos(2t ) - 4 sin(5t - 2 The signal v is given as an input to a linear time-invariant continuous-time system with fre- quency response 4 0 lwl 2 2 jw H(w) lwlT 2, 1 2 jw (a) 3 marks] Find the fundamental period To and frequency wo of v (b) [3 marks] Express v in cosine sine...
I need the solution of c and d only
3. Determine whether the following signals are periodic or not. If periodic, find the fundamental period a. m(t) = (cos(2t - FU/3)] b. x(t) - Even (sin(Art).(t)) c. x(t)= cos(n.1/2) cos(n.rt/4) d. X(t)- cos(np.n/2)
For each of the following signals, compute the complex exponential Fourier series by using trigonometric identities, and then sketch the amplitude and phase spectra for all values of k. (a) x() = cos(51 - 7/4) (b) X(t) = sin 1 + cost (c) x(0) cos(t – 1) + sin(t - 12) (d) x(t) = cos 2t sin 3t
Calculate the Laplace transform of the following time functions
by applying the Laplace transform properties:
f) f(t) = 3t cos(t) g) f(t) = 3t sin(3t) h) f(t) = 2te*** – 3t sin(t) i) f(t) = t sin(3t) + 2t cos(t) j) f(t) = 5sin(t)/(3t)
Question 1: Use the tables of transforms and properties to find the FT (in its w form) of the following signals: (a) x(t) sin(2nt)etu(t) (b) x(t)te-3t-1| (c) (t)(te 2 sin(t)u(t)) -2t
2. Determine the following: T/2 (3 sin2 t cost İ + 3 (a) j + 2 sin t cos t k) dt sin t cos" t tan2 t t3-8 (b) lim sin t sin 2t t +2
2. Determine the following: T/2 (3 sin2 t cost İ + 3 (a) j + 2 sin t cos t k) dt sin t cos" t tan2 t t3-8 (b) lim sin t sin 2t t +2