Calculate the inverse Laplace transforms of the following systems, and indicate whether the system is BIBO stable or not, with an explanation. 1-e-3s а. ) H1(s) = (s+1)(s²+2s+2) s3+3s2+3s+1 b. H2(s) s2+s+1

Q: For a very long time before t = 0, the input voltage is zero. Provide the: a. Expression of the…

A: First write the input signal in terms of unit step and than using laplace transform of step signal…

Q: Q3: Find the Inverse Laplace Transform of the following functions s3+3s2-s-3 e-S+e-2s-3e-3s+e-6s 1.…

A: Inverse Laplace Transform: The inverse function (X(-s)) is found by multiplying both sides by j and…

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

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Q: 2- Find the inverse Laplace transform of the following functions 1 (a) G(s) = s (s+2)(s+3) 100(s +2)…

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Q: 1. Find the inverse Laplace Transform of the following function below. ix. F(s) = 49 7s + 21 vi.…

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Q: Question3: Find the inverse Laplace transform of 10 a) F(s)=- s(s+2)(s+3)? s² b) F(s)= s? +4s+5 -3s…

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Q: Q1: Find the inverse Laplace Transform of the following function: s2 + 6S + 7 S2 + 3S + 2 H(S) Re(S)…

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Q: 21. Find the time-domain functions that are the inverse Laplace transforms of these functions. Then,…

A: Find the time-domain functions that are the inverse Laplace transforms of these functions. Then,…

Q: 0/2 In the circuit in Fig., by meams of the Laplace transform Determine : 10 K) - it). 1F - v(t) at…

A: RLC circuit have magnitude R=L=C= 1 Find the current and voltage across each element.  We are…

Q: After the switch is open for a long enough time, it is closed at t=0. Since the Laplace transform of…

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Q: Do the following for each of the given s-domain functions: i. Express the inverse Laplace transform…

A: To find the inverse Laplace transform of the following function and evaluate the value of time…

Q: Find the inverse Laplace Transform of the following functions: 1 F(s) 3 %3D S-7 S-3 4s 10 F(s) s2 +…

A: given two functions and we have to find it's inverse laplace by considering signal is causal by…

Q: Solve part a & b

A: a. The Inverse Laplace transform is determined as:

Q: A. Find f(t) if F (S) = 3S+1 - (S-1)(s²+1) B. solve the following equation using 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…

A: Given data First order dynamic system y't+2yt=6ut yt is output and ut is inputy0-=0 and ut=10 for…

Q: 2- Find the inverse of Laplace transform I Ke S+5 Re[s> 1 (s-1)(s+1)2* s+5 d) (s-1)(s-2)(s-3) i)…

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Q: The time-domain representation of a causal signal with the following Laplace transform: 5s+60 X(s) =…

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Q: 3s+8 Solve the inver se Laplace Transforms of : s*+ 2s+5

A: Given Laplace transform of the function  is  F(s)=3s+8s2+2s+5

Q: 2 1

A: Signal can be expressed asft=ut-ut-1+2ut-1-ut-2              +1ut-2-ut-3      =…

Q: Q1: Obtain the unit-step response and unit-ramp response of the 9ollowing system: C(s) R(s) s2 + 2s…

A: In this question,  We need to determine the unit step and ramp response of the given transfer…

Q: Q1: Obtain the unit-step response and unit-ramp response of the following system: C(s) 36 %3D R(s)…

A: In this question we need to find a output of the given system for unit step and unit ramp input.

Q: Find all possible inverse Laplace transforms for s + 2 H(s): (s + 1)(s – 2) In each case, determine…

A: Convert the given transfer function into partial fractions.

Q: 5s+50 Q3. Let F(s) (s²+25s+100) a) Locate the poles and zeros of F(s). b) Draw the pole-zero…

A: First we will find out the pole and zero for given function . Then we will find out the Inverse…

Q: Question: - Find the Inverse Laplace Transform of the two functions? 13 – 9s 1- F(s) = (s - 8)(…

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Q: Determine the inverse Laplace transform of the followings 2s²+5s+8 s[[s+3)²+4²] 4s³+5s²+10 s³(s+1)…

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Q: Consider the continuous-domain signal : t1 a(t): (1) : where t denotes time, and a > 0 is a…

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Q: Q/2 In the circuit in Fig., by means of the Laplace transform Determine : 10 i(t) u(t) 1 F - v(t) at…

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Q: Q1. Find the Laplace Transform F(s), given that f(t) is: (a) f(t)=(2t+4)u(t) (b) g(t)=(4+3e²*)u(t)…

A: Dear,as per company guidelines we can answer only one question or 3 sub-parts at a time, kindly post…

Q: s+3 find the inverse Laplace transforms of : f (s) = (s+2) (s+1)

A: Using partial fractions split the given functions and using inverse laplace transform find inverse…

Q: 3. Find the time function corresponding to four out of the following Laplace transforms using…

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Q: Find the inverse Laplace transforms of the following functions. s²+2s+2 (a) X,(s)= s+1 es (b)…

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Q: Find the Inverse Laplace Transform of the following functions s'+3s² – s –3 22) F(s)= Ans.…

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Q: 2. Find the inverse Laplace transforms, as a function of x a) 2s-3

A: Given function, Fs=12s-3

Q: 6) Use Laplace transforms to solve the differential equation: dy dr2 dy -7- +10y e2+20, given that…

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Q: Q/2 In the circuit in Fig., by means of the Laplace transform Determine : ww- - K). IF - v(t) at 1…

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Q: 2. The Laplace Transform of a continuous-time signal is given as below: s- 1 52 – s – 2 ,-1< Re{s} <…

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Q: For a very long time before t = 0, the input voltage is zero. Provide the: a. Expression of the…

A: As per guidelines , we are supposed to answer 3 subpart.

Q: If we use the Laplace transformation, the solution y(t) of the following differential equation: y' +…

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

Q: The inverse Laplace transformation of the function F(s) = (1 - e") s is %3D s+B f(t) = 2 cos cos (Bt…

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Q: Instructions: • Write the GIVEN with their respective symbols and units. • Do not skip the…

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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…

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Q: C) Express the function cos t, t> n/2 | 3, t<T/2 f(t) in terms of the unit step function and find…

A: Laplace transform

Q: Q/2 In the circuit in Fig, by means of the Laplace transform Determine: ww - i(t). 1F - v(t) at 1 H,…

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Q: For the circuit shown below, find the following and show your detailed solution: Knowing that…

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Q: (b) Determine the Inverse Laplace Transforms of these functions: 14 (i) K(s) (s+1)(s+4) 12 (ii) L(s)…

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

Q: Q1: Obtain the unit-step response and unit-ramp response of the following system: C(s) R(s) 36 %3D…

A: In this question we need to find a response of the given system for unit step and unit ramp input.

Q: Question: - Find the Inverse Laplace Transform of the two functions? 13 – 9s 1- F(s) | (s - 8) (…

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Q: Using a table of Laplace transforms and the properties find the Laplace transforms of the following…

A: (d) The given function is, gt=ddtut-2 The derivative of the unit step signal is an impulse signal.…

Q: Find the inverse Laplace transform of the following functions: 10(s+3) s(s2+4s+10) a) F(s)…

A: Part (a):Rewrite the given function as follows:

Latches and Flip Flop

Just like logic gates, the latches and flip-flops are the important elements of an electronic circuit. The logic gates form the important part of combinatorial circuits, while the latches and flip-flops form the essential part of a sequential circuit. Sequential circuits form the important concept of automata theory in electronics and electrical engineering, these circuits are a kind of logic circuit whose output depends on both present input and past inputs, that is, the input history.