Q1:Do the convolution for x(t): X(t) -1 1 2 h(k) 1 2 -3 3 4. 2. 1. 1.

Q: Plot the following signals: 1. (a) y(t) = f 8(x)dx (b) 92 (t) = f(x-t)dx (c) ys(t)= (t(u(t)-…

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Q: Q2: Find the Convolution of two functions below. 0 2

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Q: a1(t) = 3[u(t) - u(t – 1,9) x2 (t) = 4|u(t) - u(t – 3, 2) Find z(t) = x1 (t) * x2(t).

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Q: -8 Draw: x(2t) - 6 -4 î x(t + 2) x(1) 2 -2 x(2-t) 6 2x (1 – t) 8 (t)

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Q: 1; 0 2 t; -28 -28 1 e e 242 + S S 82 -28 f(t) = = Option 4 -28 e S Option 3 -28 e S Option 1 I + 1 e…

A: Laplace transform: It is a mathematical to that converts the time signal into the complex S-domain.…

Q: 4 c)Find the total energy of the signal x(t) =- (t²+4)

A: We know the formula for energy . We need to solve integration of square of given signal.

Q: H2 R(s) G G3 G4 Y(s) D(s) H3

A: Given

Q: he result of: u(t) * 5u(t) * 8(t-3)+ 25(t - 1) * u(t +3) is elect one: 5u(t – 3) + 2u(t+ 2) 5(t-…

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Q: using proerties, Find F.T

A: Given function

Q: The shown signal x(t) can be written as x(t) -3 5 Select one: 2 Ps(t+1) 2 Ps(t-3) 2 ps(t-1) 2…

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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: Find v4(t) when t > 0. 120 V. (t) 4H 24V 6Ω.

A: We need to find out the voltage across resistor in given circuit

Q: 2- using graphical convolution, fing y(t) when: k(t) X (+) X(4) h(4) -5-4 4 46 t t h(x) h(+). 35+ +…

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Q: A system is described by dy(t) +3y(t) = x(t) where x(t) is input and y(t) is output. dt Then the…

A: Given system is - dytdt+3yt=xt

Q: g(t) 12345 6

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Q: Solve for T(s) using Mason's Formula Rish Gy(s) tes Gy(s) Yus

A: In this question We need to determine the transfer function of the given system using the Mason gain…

Q: The result of u(t) * 6tu(t) is: Select one: O 3tu(t) O (3t2)u(t) O (6t? )u(t) O (3t2/2)u(t)

A: Given u(t) *6tu(t)

Q: Find i_1 (t) and i_2 (t) for t> 0 in the following circuit

A: The given circuit isWe need to determine the expressions of the currents i1(t) and i2(t) for t >…

Q: What is the result signal?

A: The given signal is And, the required signal x1(t) is

Q: The result for the following expression (2t + 3)8(t + 5)dt = ? is-7. True False

A: We need to simplify the given expression .

Q: Solve the questions for the function shown in the figure below: x(t) 1. -2 4 6 2.

A: Fourier series coefficient

Q: The period of x(t) is:

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Q: Figure Q3(a) shows a system that produces output m(t) from the input x(t) given in Figure 1. (а) 2…

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Q: (b) Consider the system shown in Figure Q1(b). The input to the system are signals p(t) and q(t)…

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Q: (b) Consider the system shown in Figure Q1(b). The input to the system are signals p(t) and q(t)…

A: In this question, Sketch the output g(t) , h(t) k(t) and y(t) using the shifting and scaling…

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: 4 0 a v1(t) v(t) = 0.25 F 4 H

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Q: Question 11 Determine the an for the function g (t) = t² , 0<t< 2r. n2 O 4n2 O 2n2

A: Given: g(t)=t2,  0&lt;t&lt;2π   Formula to calculate an is:an=2T∫0Tg(t)cos2πntTdt

Q: Find

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Q: Use step functions to write the expression for each of the functions shown.

A: Given:  To write the expression for the given graph:

Q: draw a dynamical equation with respect to these electrical circuits R₁ L u,(t) C₁₂ u₁(t) R₂ u₂(t)…

A: it is asked to draw dynamical equation with response to given electrical circuits

Q: 5) Find the autocorrelation function for the following functions. X1(t) 1 X2(t) 1 -1 2.

A: The given functions are as follows: We have to find the autocorrelation function for the above…

Q: Question 1 a) What is the inverse Laplace transform y(t) of in your answer. Y(s): = Y(s) = 1 S-3 +…

A: In this question We need to determine the inverse Laplace transform.  We are solving this problem…

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: Given the following K-map, determine the minimal product-of-sum (POS). CD 00 01 11 AB 10 00 1100 1…

A: We need to find out Boolean expression of given k map .

Q: or the circuit, find i(t) for t>0

A: To solve above question, one should understand the behavior of Inductor and capacitor in DC circuit.…

Superposition Theorem

The superposition theorem is applied to linear systems. For such systems, the output from two different inputs equals the sum of the outputs from each input separately. On applying this theorem many times we get the output from any number of inputs equal to the sum of the outputs from the individual inputs separately.