Determine which of the following function are (even, odd or not) function: 1- f(t) = 3t2 sin(3t) 2 - f(t) = 4t3 + 6 sin(2t) 3 – f(t) = t² sin(2t) cos(3t) 4- f(t) = 2 sin(t²) %3D %3D %3D 5 - f(t) = t² + 4 cos (2t) + 3 sin(2t)

Q: 1. Solve the following differential equation using 3rd and .. a. dy/dx = yx' - 1.5y, y(0) = 1, find…

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Q: The response Y(s) = 4 / (s-1)^3 is most likely a. overdamped b. undamped c underdamped d. critically…

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Q: t= 0 66 22 S22 N 30 н 27 V 0.32 mF v(t) i(t) S46 N After the switch opens, this circuit can be…

A: for t <0 circuit reached steady state, capacitor acts as open circuit and inductor acts as short…

Q: H.w: Find R, for the circuit shown below 300 n 300 n 600 N RT 600 1 600 n 600 N Answer: R, =75N %3D

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Q: The output of a linear system to a unit step function u(t) is te 2t system function H(s) is u(t).…

A: Given: A linear system with

Q: Lhe a(t) = 56(t – 7) + 46(t + 5) %3D 6(t) = 86(t + 15) – 86(t – 15) • c(t) = 211(§) d(t) = –5A(†)…

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Q: 8.3.4 For the RLC circuit shown in the image below, if R1 = 10 S2 and R2 = 3 S2, C = di (0*) 0.23 F,…

A: We need to find out rate of change of inductor current at initial time.

Q: A) Discuss the stability of the system, and determinate the number of roots in right hand side, If…

A: We will apply here Routh Hurwitz criteria to check the system stability and find out number of roots…

Q: Is the system below overdamped, underdamped, or critically damped? Show your work ( u means X106).

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Q: 5. The switch in the circuit has been in position 'a' for a long time. At t = 0, the switch moves…

A: Under steady state condition, the initial values of the capacitor and the inductor can be calculated…

Q: 5.3 For the characteristic equation K 1 + s2 (s + 1)(s + 5) = 0. (a) Draw the real-axis segments of…

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Q: Given the network shown, find v(t) for t> 0. Hint: The circuit can be converted into an equivalent…

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Q: Source-Free Series RLC Circuit Solve for the roots s1 and s2, and determine whether the circuit is…

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Q: If R = 50 2, L = 1.5 an RLC series circuit: (a) overdamped, (b) critically damped,

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Q: The current in an  RLC circuit is described by the equation d^2/dt+7di/dt+12i=0.determine i(t) for…

A: Below is the given data:- d2idt+7didt+12i=0i(0)=2.5 mA,di(0)dt=0 Now to Find out the i(t),we are…

Q: 1. Find the energies of r(t) = u(t) – u(t – 2) and y(t) = u(t) – 2u(t – 1) + u(t – 2), for t € R,…

A: 1) Given x(t)=u(t)-u(t-2)

Q: Q2 (a) Figure Q2(a) shows the RLC circuit in the time domain with Vs=2 cos 4t V and the complete…

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Q: 3. Solve the following differential equation using 3rd and a. dy/dx = yx³ – 1.5y, y(0) = 1, find y…

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Q: The unit step response of response of the system is u(t – 1) + 2e B. h(t) = (1 + 2e-2t )u C. h(t) =…

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Q: given figure, the value of K for critical damping is * R(s) C(s) 2 K s2+7s+2

A: Note:We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: The switch in the circuit shown  has been closed for a long time. At t=0 it opens. Use Laplace…

A: when the switch was closed the current I1 is given as ; i1=100/10 i1=10 A Thus after the switch is…

Q: Q2: Solve the following first order differential equations Use any method you can 4. sin(2x) y…

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Q: 5- The error response of a control system is given as e(t) = 2e¬"sin (6t + 50°). Find the damping…

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Q: 0.25H 4Ω 0.20H This circuit can be represented by the differential equation dvs bi dt d i2 + a1 dt +…

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Q: SIgnals and systems Graph these singularity and related functions g(t) = 2δ(t+3)

A: We need to draw the given signal .

Q: series RLC circuit has the following component values: R = variable, L = 100 mH, and C= 0.1 uF. If R…

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Q: Signals and systems Graph these singularity and related functions. g(t) = 5 ramp(t+1)

A: Singularity function

Q: Either the following signals: f (t) = 0 if t 1 (i) Give the graphical representations of the…

A: Convolution

Q: Determine the exact solution of the following differential equation y = 2- y at y(0) =1. So the of…

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Q: The following figure has two switches, one opens at time t = 0s and one closes at time t = 1 s. The…

A: Transient analysis

Q: It should contain your answers, graphics, and MATLAB codes in a clear sequence order. Q1. Q1.…

A: clc;clear all;close all;syms y(t)ode = diff(y)+2*y == 2*sin(t);cond = y(0) == 0;ySol(t) =…

Q: Problem #2 The switch in the circuit has been open for a long time before it was closed at t = 0.…

A: Solve the problem

Q: |iR ic i + R C= Use the circuit above to answer the following three questions. a. For R = 250, L =…

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Q: 6s +26 s +26 • Find f(t) if F(s)=- (s +1)(s+2)(s+3) • Solution approach: A F (s) = (s +1) (s+2)…

A: Transfer Function-The transfer function is the ratio of the Laplace transform of output to Laplace…

Q: A single loop RLC electrical circuit can be modelled as a second order system in terms of current.…

A: The inductor and capacitor are the energy storing elements. They exchange energy among themselves in…

Q: For the circuit below, find s-domain circuit, and vi(t) and v2(t). 50 kN be 1 = 0 31.25 mH 450 V 10…

A: The circuit diagram is shown below:  For t>0, the point a will be connected, the circuit is…

Q: t = 0 4Ω a vz = 6 e ³u(t) V 1/4 F 10 V 6Ω Since the switch changes position at t= 0, find the…

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Q: For the following circuit the initial condition of the capacitor is vo(0-) = 0V. Solve for ve(t) for…

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Q: = 2. The input to the circuit shown below is the voltage vi(t). The output is the voltage v.(t). The…

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Q: Either the following signals:    f(t)=0 if t2 (i)        Give the graphical representations of…

A: Note: We are authorized to answer three subparts at a time since you have not mentioned which part…

Q: Example 1: Find the differential equations that describe the mesh currents iz and iz in the circuit.…

A: We need to find out the differential equation for given circuit .

Q: Find the range of values of B that make the system described by the following equation stable. Use…

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Q: Q3. Evaluate the following integrals C+) dt

A: Evaluate of Delta function integration

Q: نقطة واحت * For the system in the given figure, the characteristic equation is R(s) C(s) K(s+1)…

A: The given closed loop system with negative unity feedback is,

Q: Evaluate the integral: 3 I = S (t5 S (t5 + 7) [8 (t) + 118 (t – 1)] dt. –1 Express your answer using…

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Q: Given a circuit with a Time domain values: v(t) = 10 cos(1000t) R = 100 N L = 10 mH C = 10 µF %3D…

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Q: Topic: Scaling and shifting (SIgnals and systems) Graph these singularity and related functions.…

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Q: Q7: Sketch the root locus plot for O.L.T.F. k G(s)H(s) = %3D s³(s + 1)

A: It is given that: GsHs=ks3s+1

Q: 4. Compute the following convolutions. Give your answer in equation form and as a plot. Note that it…

A: (a)  f0(t) = 4(t)  * δ(t) -4δ(t-1)+3δ(t-3)impulse function propertyδ(t-t0) * x(t±t1) =…