1. x(t) y(t) hi(t) h2(t) h,(t)=u(t)-u(t-2) h2(t) = rect( %3D x(t) = 8(t) 1) h1(t) and h2(t) draw 2) h1(t) Is it causal and bibo stable 3) y(t) obtain and draw 4)

Q: B) f(t) = [t²-4t +4 + e¯(¹-2)] u(t-2) C) f(t) = eat sinot u(t) D) f(t) = cos(wt-w) u(t-1) E) f(t) =…

A:

Q: Consider the expression for x(t). x(t)=[e*u(t)]* 2 8(t-4k It is given that x (t) - Be2; 0<t <4. What…

A: Given that,                                                 the value of B = ? by convolution(*)

Q: Express the signals shown in terms of unit step functions

A: Step 1: Step 2: Step 3: Step 4:

Q: A causal system is given the input x₁(t) = 5 + u(t) and the output is y₁(t)e-2tu(t). Let y2 (t) be…

A: To find for , we need to determine the response of the system to the input  for .

Q: A) For what range of (K) is the system stable. K(s+3) s+7s3+14s2 +(8+k)s+3k G(s) 3D

A: The Routh array is used for deciding the stability of the system. The Routh array is written as…

Q: A CT signal x(t) is shown in Figure 1: 1) Sketch x(4- 2t) and x(t)[8(t + 0/5) - 8(t-1.5)]; 2)…

A: Given:

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A: The given circuit is, The switch was closed for long time. it is open at t=0. we have to find…

Q: y(s) 2 x(s) (s² + 23wns + 1) = a. Let Wn = 1, Obtain the poles of the system for 3 = 0, 0.1, 0.7, 1,…

A:

Q: a) If x[n] = a"u[n] and h[n] = B"u[n] then implementy[n] = x[n] • h[n] b) Solve for convolution of…

A: Part (a): Consider the given expression,

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A:

Q: Prob. 2.. Convolve the following two functions y(n) = x(n) * h(n) using the graphical and analytical…

A: Two discrete signals given we need to find out the output using convolution . Signals:

Q: The result of: u(t) * 5u(t) * 8(t – 3) + 28(t + 3) * 28(t) is Select one: 5(t – 3)u(t – 3) + 48(t)…

A: In this question , we will find convolution of given signals...

Q: Please provide a Karnaugh map for image shown. Groupings must be clearly shown.

A: Brief description: The given Boolean variables in the question bare P,D &amp; W. Quadrants will…

Q: Exercise 2: Exponential signals Plot the following exponential function: x(t)= between 0 to 8ms, a=…

A: clc; clear all; S1=4111111; S2=3111111; a=(S1+S2)/1e4; T1=0; T2=8e-3; Dt=1e-5; T=T1:Dt:T2;…

Q: 2. Investigate the stability of GH(s)- of Ti and T2 K(1+T,) using Nyquist Stability Criteria for…

A: The given transfer function can be expressed as:-

Q: Which one of the following is linear? O a. O b. 0 c. O d. y(t) = x(t) y(t) = t²x(t) y(t) = x(t) y(t)…

A: Linear function:- A linear function possesses two key properties:Additivity: This property states…

Q: The switch has been closed for a long time. For the circuit below: 1) Write the differential…

A: In this question,  We need to determine the voltage across the resistance R= 2 ohm We know  Inductor…

Q: 2. Two signals, x,(7) and x₂(1), are defined as follows, 0 = {6 x₂(t)= 3 1 -2.5 x3 (1)= and are…

A:

Q: s + 2 T(s) s2 + 9

A:

Q: a) xdx + ydy = (x²+y²)dx yoly (x²+x?)dx

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

Q: Question 1: given the following continuous time signals using x(1 – ;) the sign to draw. x(1)

A:

Q: where u(t) is the unit-step. 1. Which graph depicts x(-t)? (A) (B) (C) (D) (E) N. 4. 0.5 x(t) =…

A: In this question We need to choose the correct option What is graphically representation of the…

Q: Consider the toroid that is shown in Figure 3.5b with outside and inside radiuses of 5 and 4 cm,…

A:

Q: Apply Demorgan's to : (AB)(C+D) Options: a) (A+B) +C+D b) (AB)+C+D c) A+B+C+D d) AB+C+D

A: Given data, To simplify: A¯ B¯C+D¯¯

Q: Find y(t) = x₁(t) * x2(t) if x₁(t) = e¯tu(t) and x2(t) = e -2t u(t)

A: Given:two signals, we need to compute: the convolution of above signals.

Q: 1----The dual of the following logical expression x'y+xy' is....

A: In dual expression, • and + are interchanged and also , 0 and 1 are interchanged.

Q: 1. Given x(t) and h(t), find y(t) = x(t) * h(t) x(t) = 2u(t)- 2u(t-1) h(t) = 3u(t)- 3u(t - 2) * u(t)…

A:

Q: In the figure i1(t) = 4u(t) , i2(t) = ix(t)/2 , R1 = 1 ohm , R2 = 1 ohm , L1 = 1 H , C1 = 1 F , C2 =…

A: The circuit in the Laplace domain will become as below.

Q: Differential equation of a system is represented by d²y dy + 100 y = 0 +11 dt The value of damping…

A:

Q: The mathematical expression of-1 the figure below as sum of unit step * ?functions 1 1 3 -1 -2 -3…

A: In this question,  Choose the correct option We know unit step u(t) = 1 for t&gt;0

Q: Calculate the damping ratio and natural frequency and determine if it is undamped, underdamped,…

A: The required parameters can be calculated by comparing the given transfer function with the general…

Q: €) v (t) = V1- e RC

A: Given data The expression for the voltage across the capacitor at a time t is given by, VCt=V1-e-tRC…

Q: A control system is defined by the following differential mathematical relationship d²x 9 + 16 dx +…

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Q: The circuit has been running for a long time before the switch closed. Find vo(t) for all time t. At…

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Q: 2. Find iL(t) and V1(t) for t > 0 in following circuit. t = 0 12 N i(t) ww 10 v (+ 4 A v;(t) 320 2H…

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Q: 7. Find the values of i and iz2, dij/dt, diz/dt, d²ij/dt², d²i;/dt² at t=0+. t=0 2H 10 2 100 V 10 2…

A: We need to find out current and derivative of current .

Q: T

A:

Q: #₁(t) = t -2 Define mathematical expression for each , (t) where i = 1, 2, 3 using the elementary…

A: We need to represent the given signal with respect to reference Signal.

Q: The full-load copper losses and iron losses of a transformer are 6400 W and 5000 W respectively. The…

A: Given, Full load copper loss = 6400 W Full load Iron loss = 5000 W Load factor at half load, x=12

Q: Signals and systems

A:

Q: Question 2: For each of the second-order systems that follow; find 5; wn; %OS; Ts; Tp, and Tr then…

A: for a each of second order system that follow; a.TS=16S2+3S+16 b.TS=0.04S2+0.02S+0.04

Q: Assuming all conditions to be zero, the unit step response of the system described by the difference…

A: According to the context of the given question,  The difference equation is given as follows:- y(n)…

Q: iii) Calculate and write down the first 3 terms (starting at n=0) in the sequence y[n], if:

A: We need to find out the value of given sequence

Q: U(S) U(S). + + 75 k SS+4) K S²+(4+7k)s » modified as y(s) y(s)

A: Given Data: A Negative feedback system with, Open loop system Gs=Kss+4 The feedback elements of,…