01: Choose the correct answer: 1 The inverse Laplace transform of the function (s+3)3 2 is: а. 3 b. 글e-st t²e-3t с. 2- The time constant of the 1st order system is: s+2 a. b. 0.5 с. 0.2 3- The rise time of a system with time constant 0.25 is: a. 4 b. 0.75 с. 0.55 4 The form of the step response of the system 200 is: 52+10s+200 a. Underdamped b. Undamped Overdamped с. 5- For a system characterised by an underdamped step response, the damping ratio (§) is: } < 1 b. } = 1 с. } > 1 а. 6- The forward transfer function of a control system has three poles at (0, -2, -3). The system type is: а. 0 b. 1 с. 3

Q: Sequences are generated by sampling a causal continuous-time signal u(t) (t > 0) at uniform…

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Q: 33. If a first order system and its time response to a unit step are as shown below, the gain K is:…

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Q: The ROC of a system is the. I all of them range of frequency for which the signal gets transmitted…

A: In this question we will define ROC of a system.... Note:- due to bartleby policy , I will answer…

Q: Q1/ Solve the following integro-differential equation by using Laplace transform: dy(t) + 2y(t) +…

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Q: Find the zero input response and zero state response of Vc(t) and iL(t) for the state equations…

A: Given Vc0 =3 ViL0 =2 Aet =ut

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Q: Find the zero input response and zero state response of Vc(t) and iL(t) for the state equations…

A: From the State Space Analysis

Q: Ex. 121. Given the signal: F(s) = (52 s + 14)/( s^2 + 49 s + 2401 ). Determine the inverse Laplace…

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Q: Consider a first-order dynamical system described by y(t) +2y(t) = 6u(t), where y(t) is the output…

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A: We are authorized to answer first question only. As you have not mentioned which part to answer. so…

Q: Problem 4. Which gives the Laplace transforms of the given time-domain function?         1.5 ln…

A: given x(t)==-31-cos377tt

Q: 1- Find the Laplace transform and the corresponding ROC of the following signals. a) x(t) = [e-2t +…

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Q: Q2 Ahmad was assigned by his lecturer to obtain the output equation, f(t) for the system given…

A: The solution is given below

Q: 1) An input signal x()=e -2«-1) u(t-1) is applied to an LTI system with impulse response h() = 48(0)…

A: Given data:

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Q: Determine the inverse (unilateral) Laplace transform y(t) for the function: 10(s - 1) (s+1)(s+ 2)²…

A: Write the given function.

Q: Find the Laplace transform of each of thé fóllówing functions: a) f(1) = te"at, b) f(1) sin wt,

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Q: Ex. 506. Determine the Inverse Laplace Transform of the signal: F(s)=90* (s+12)*(s+16) / (…

A: The solution is given below

Q: Q1)(15 pts) Consider a system represented by the differential equation d’y(1) , 4dyO) + 3y(t)=2u(t)…

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Q: Ahmad was assigned by his lecturer to obtain the output equation, f(t) for the system given below:…

A: Brief description : Here we need to calculate the value of inverse Laplace transform of the given…

Q: 1 . For input S+3 3. A linear, time invariant system has a transfer function H(s) and H(s)=…

A: The input of the given  L.T.I system is:

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Q: 2. A continuous-time signal x(1), which is zero for t < 0, has the Laplace transform s+ 2 s³ + 8s² +…

A: According to properties of Laplace transforms Time shifting Property: x(t-t0)u(t-t0)=X(s)e-st0…

Q: Q1. Let x(t) = 21 (4) and y(t) = } ", 14 < Determine the convolution z(t) = x(t) + %3D lo, Itl 24…

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Q: An LTI system has an impulse response h(t) for which the Laplace transform H(s is 1 H(s) = | h(t)e…

A: Given H(s)=1s+1x(t)=e-t2+2e-t3

Q: 1- Find the Laplace transform and the corresponding ROC of the following signals. a) x(t) = [e-2t +…

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Q: GIVEN THE FOLLOWING FACTS ABOUT A REAL SIGNAL X(T) WITH LAPLACE TRANSFORM X(S): A: X(S) HAS EXACTLY…

A: Given- X(s) has exactly two poles X(s) has no zeros in the infinite S-plane X(s) has a pole at s =…

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Q: Solve the following ODE using Laplace Transform: 1. y"+ y = 6(t – 2n) cos t y(0) = 0, y'(0) = 1

A: As per our guidelines we are supposed to answer the first question only. Kindly repost the other…

Q: Let the Laplace transform H (s) of a linear, time-invariant (LTI) system with impulse response (t)…

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Q: 3. Given the following differential equation, solve for y(t) if all initial conditions are zero, Use…

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Q: 1- Find the Laplace transform and the corresponding ROC of the following signals. a) x(t) = [e-2t +…

A: Here we can find the Laplace transform by knowing the some basic Laplace transform pairs    First of…

Q: Find the zero input response and zero state response of Vc(t) and iL(t) for the state equations…

A: From the given State equation

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A: i.roots of the equation are s = -1,-2,-3,-4,-5

Q: Derive the Laplace transform for the following time functions: [Section: 2.2] а. и() b. tu(t) c. sin…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Q.2 (a) Consider a linear time-invariant (LTI) system with an exponential function response that has…

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Q: 1. sin 3at where a is any positive constant and s> a.

A: Since there are several different numerical problems present, as per the guidelines, in the…

Q: The input and output of a causal LTI system is described by the differential equation: d’y(t) 3dy(t)…

A: This is a simple problem on signals system subject. Look below for solution:-

Q: 34 – 41 B. Determine the Inverse Laplace - transform of: 10 Y(s) = s² –5s+4

A: First rearrange the the y(s) and than using laplace transform of standard signal find y(t).

Q: Ex. 502. Determine the Inverse Laplace Transform of the signal: F(s) = 2* (s+21)* (s+28) /(…

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Q: Q1 (a) Determine the Laplace Transforms of these functions: (i) F(t) = (t – 4)u(t – 2) (ii) G) - 2е…

A: In this question,  Find the Laplace transform of the given signals.  We are solved this questions…

Q: 1- Find the Laplace transform and the corresponding ROC of the following signals. a) x(t) = [e-24 +…

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Q: The ROC of a system is the . J all of them range of frequency for which the signal gets transmitted…

A: ROC is the range of frequencies where Z transform exist. No. Of ROC = no. Of independent poles +1…

Q: Ahmad was assigned by his lecturer to obtain the output equation, f(t) for the system given below:…

A: The solution is given below

Q: Consider a system of input x (t) and an output y (t) represented by the following equation dy (t) dy…

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Q: Consider a linear time-invariant (LTI) system with an exponential function response that has the…

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Q: Q.2 (a) Consider a linear time-invariant (LTI) system with an exponential function response that has…

A: We will find out Laplace transform for given signal and we will find out the input signal for given…