Use Matlab to generate the following two functions and find the convolution of them: a) x(t) = cos(t/2)[u(t)-u(t-10)] h(t) = sin(xt)[u(t-3)-u(t-12)]

Q: 14. The unit step response of an LTI system is given by g(t) = u(t)- 10u(t)et. Thus, the transfer…

A: Given data, g(t) =u(t)-10u(t)e-t

Q: on 8 ered ed out of g question The Laplace transform of f(t) = sin() is: Select one: OF(s) = 1 ○…

A: In this question , we will find Laplace transform of given function....

Q: Find the laplace transform of the following signals. x(t) = 5 sin(100 t) U (t)  x(t) = 4 sin(100t)…

A:

Q: 10 Ω 100 2 |ic 1 H t= 0 5 mF 12 V

A:

Q: The Inverse Laplace Transform for 1/S-3 is * O t O t^2 O u(t)e^3t O e^-at In a DC circuit, the…

A:

Q: 4) In the network below, the switch opens at t=0. Use Laplace transforms to find i(t) for t>0. 3 H…

A: Before the switch is opened, the inductor behaves like a short-circuit. Find the current through the…

Q: An LTI continuous-time system is represented by the following transfer function s-2 H(s) = 2s²+5s-2…

A: I am considering differential equations and prooved that gives. Same transfer function given above…

Q: Find the continuous-time convolution y(t) = x(t)*x(t) where x(t) is shown in the figure below. x(t)…

A: convolution of x(t) and x(t) is y(t)   Y(t)=∫-∞∞X(z)X(t-Z) dz we will find y(t) by solving above…

Q: Consider the following continuous-time signal: 1 -t, 0, 0<t<1 otherwise Carefully plot x(t), and…

A:

Q: 2) Evaluate the following continuous-time convolution integral y(t) = (u(t + 3) – u(t – 1)) * u(-t +…

A:

Q: Find the time function corresponding to the following Laplace transform: s' + 2s + 4 F(s)= s*-81 S

A: Laplace transform

Q: Q2/ Find f(1) for cach of the following functions:- a- F(s) = 768 (s +8s+15)2 12 b- F(s) =…

A: Laplace transform

Q: The systems input output equation is in the picture find the zero state response yzs(t) to x(t) =…

A: Given data, The input-output equation:- d2y(t)dt2+4dy(t)dt+3y(t)=x˙(t)-2x(t)

Q: Given: F(s) = (s+1)(s+5) 40(s+4) a) Find the initial value of f(t = 0). f(t = 0) = b) Find the final…

A: Given, Transfer function, Fs=40s+4s+1s+5

Q: Find the continuous-time convolution y(f) = x(t)*x(t) where x(t) is shown in the figure below. x(t)…

A: This is step rectangular waveform given Find the y(t) =x(t) *x(t)  * convolution.  This problem is…

Q: 20 N t = 0' 60 V 31.25 µF vo350 mH R = 20 N, L= 50 mH, C = 31,25 µF

A: ELECTRICAL NETWORK: When addressing a circuit problem or constructing a balanced circuit, the word…

Q: Find out the Laplace transform of x(t)=cos(4t)u(t). u(t) represents the unit step function.

A: For any continuous-time function x(t), the Laplace transform of x(t) is defined as The unit step…

Q: vt) (V) 320 :1 F 10 v;(t) 10 1 1(s) (a) (b) Şekil 3

A:

Q: Consider the following continuous-time signal: 1 -t, 0 <t<1 X = 0, otherwise Carefully plot x(t),…

A:

Q: (1)Find vo(t) for t 2 0. Using the method that applies the Laplace Transform to the circuit. 2 ohms…

A: A circuit is given in the question. We need to determine the voltage v0t for t≥0. It mentioned to…

Q: 5) Consider a continuous time LTI system whose step response is given by s(t)=e-t u(t). Determine…

A: Step response s(t) =e-t u(t)  Output for the x(t) input

Q: Electrical Engineering Find iſt) for t >0 in the following circuit (Fig. 2) using Differential…

A:

Q: Given x[n] = x1[n] + x2[n] %3D where, x1 [n] = 9 cos () and x2[n] = 8 sin 8 4

A: The Scilab Code along with the explanation is given in the following section.

Q: Find the poles and zeroes of the functions and mark these on the s-plane. K(s + 2)(s + 10) G(s) s(s…

A:

Q: In the circuit, the switch has been open for a long time. Calculate the time-dependent equation of…

A: Given circuit has voltage source =5 V

Q: What is the value at n=0 of a causal signal x[n] if it has the following z-transform below?

A:

Q: only work on question 4 An RL circuit has an emf of 5 volts, a resistance of 50 ohms, an inductance…

A: Given data V = 5V R = 50Ohm L = 1H I(t) = ??

Q: 1) The step response of an continuous-time LTI system is given by (1 – e-t)u(t). For a certain…

A: Given, h(t) = (1 - e-t)u(t) and y(t) = (2 - 3e-t + e-3t )u(t)

Q: Using convolution integral, show that, 6(t) * x(t - T) = x(t - T), where T is a non-zero constant.

A:

Q: 4) Consider a continuous time LTI system whose step response is given by s(t)=et u(t). Determine and…

A:

Q: Determine the inverse Laplace of the following: 30 8 1. F(s) = + s7 S-4

A:

Q: What is the final value of the output of a system with the following Laplace transfrom? Y(s) = s+2…

A: Given: Transfer function, Ys=s+2ss2+3

Q: Find the poles and zeros for the s-domain functions in F(s)=80(s+3)s(s+2)2. and…

A: F(s)=80(s+3)s(s+2)2 calculate poles are, s=0 and -2 calculate zeros, s=-3

Q: - 7s 10s - 13 3. Find the inverse Laplace transform of F(s)=- (s-10) – 27 (s -13(6s +3)(3s – 7)

A: Fs=-7ss-102-27-10s-13s-136s+33s-7→equation…

Q: A system has transfer function s²+35+6 (s²+1) (s³+4s²+7s+4) Use the Routh-Hurwitz technique to…

A:

Q: + switch 240 V 4 Ω ΖΩ 0.5 F 2 H The switch has been closed for a long time. It is opened at t = 0.…

A:

Q: Assume f(t) is of exponential order and its' LT exists. Assume also that the integral Jo f(x)dx…

A: Prove that∫0∞fxdx=lims→0Fs

Q: Using the convolution integral find the inverse transform of 1/s(s+2)

A:

Q: 3) For any continuous time signals, x(t) can be decomposed as an integral of 8(t-s) as follows: x(t)…

A: The impulse function is defined as,

Q: 4) Consider a continuous time LTI system whose step response is given by s(t)=e¬t u(t). Determine…

A: Step responses of the signal  S(t) = e-t u(t)  Output of the x(t) ?

Q: (7)Using the method that applies the Laplace Transform to the circuit below. The switches in the…

A: Given the circuit, as shown below: We need to calculate V0(s) , vo(t) and i(t).

Q: Find the initial value and final values of the following function 12(s+1) s(s+2) (s+3) F(s) %3D

A: Laplace transform is used to convert time domain function in to frequency domain. Laplace transform…

Q: v/{t) 1kN i(t) 5- 1ks. 100mF 5 10 The output current i(t) at t<0 is equal to zero Amperes. Determine…

A:

Q: If we use the convolution, the inverse Laplace of is: (s-1)(s-2)

A: Laplace transform of a signal x(t) is denoted as X(s) and defined as: Laplace transform of some…

Q: 2(s+9) The Inverse Laplace Transform of is: s2+2s+50 Select one: O a. 3.03e-tcos (7t - 48.7)u(t) O…

A:

Q: : Use partial fraction expansion to find the time-domain waveform f(t) corresponding to the…

A:

Q: B- Evaluate the following integrals (u(t) is the unit step function defined as u(t)=1 for t>0 and…

A:

Q: The initial value of f() with transform s+1 F(s) = (s+2)(s+ 3) %3D is: (a) nonexistent (b) (c) 0 ∞…

A: Laplace transform is used to convert time domain function in to frequency domain. Some Laplace…