Q1la) the impulse response of a LTI system is given as below If the input of the system is as below find and draw the output x[t) Xa(t) b)for the same system in a find and draw the output if the input is changed to x(t)= Xa(t)+Xa(t-2)

Q: The linearization at a=0 to √2+5x is A+Bx. Compute A and B

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Q: Bolulion - (A) The Linear Homogenous differen tiol Equation of ordes 2 with Ce ficients in the…

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Q: 3) The impulse response of a certain linear system is h(t) = u(t) + d(t). Determine the zero state…

A: The zero state response for t≥0 is:  yt=ht*ute-t      =ut+δt*ute-t      =∫-∞∞uτ+δτut-τe-t-τdτ…

Q: Suppose three sequences x, , Yn, Zn are related, for n EZt, as follows: Xn+1 = -2zn Yn+1 = Xn + 2yn…

A: Please check the answer in next step

Q: 7. Minimize c = s+ 3t + u subject to 5s - t + v > 1,000 2,000 s + t > 500 s 2 0, t > 0, u > 0, v >…

A: For simplification : s = x1 t = x2 u = x3 v = x4 Let c = Z Z = s + 3t + u = x1 + 3x2 + x3

Q: The table below shows the projected values (in millions of dollars) of hardback college textDooks…

A: Given that t = 7 corresponds to 2007, y is the value of textbooks. now that table shows the…

Q: The input applied to a LTI system is x[n] = {2,2,3}and the system impulse response is h[n] = {1,1}.…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 3. A machine has n components, the lifetimes of which are independent. However the whole machine…

A: Since you have asked multiple question, according to our guidelines we will solve the first question…

Q: manufacturing company employs two devices to inspect output for quality control purposes. The first…

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Q: 4. a) Compute P (P (0)) and P({{0.(0}}, {0}}). Show all steps of your cal- culation. b) Calculate…

A: Power Set : Let A be a set, then the power set of A denoted by ℘(A) and is given by set of all the…

Q: 2. An LTI system has an impulse response h(t) = e u(t) and an input x(t) shown below: x(t) 1(sec) a.…

A: Given: h(t)=e-tu(t)

Q: 15. Solve Orx + Pyy 0, -a < x < a, 0 < y < ∞, 8o, 0 < |x| < a, Oy (x, 0) = 0, || а. $ (x, y) → 0…

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Q: Q2)a)For a LTI discrete time system with impulse response A[n) = 5) * u[n]. Find the integer A such…

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Q: Q1) The impulse response of a linear time-invariant system is: h(n) [1 0 -1 3-2 4-2], Determine the…

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Q: If x=(85-6y +z), y =(72 - 6x-2z) 15 ,z=(110-x-y), by using gauss sidel method then 54 X= ...…

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Q: In parabolic PDES, to apply the difference method to find the solution of a function T(x,t), we…

A: We have the parabolic partial differential equation system represented by the following diagram, We…

Q: Consider the ODE system x' = A 3 with A = 4 1 + 3 a) Use the method of diagonalization to find eA.…

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Q: Consider a LTI system described by Y (n) = x (n+2)+ 2x (n+1) + x (n) + x (n-1) + x (n-2) Where x(n)…

A: Given   Y(n) = x(n+2) + 2x(n+1) + x (m) + n(n-1) + (n-2).   a)  Applying z-transform to the…

Q: 10. Given for the system of equations S0lve using 2 x cramer's rule.. 22=0 + Z =I

A: Given,          The system of equations are            2x-y+5z=-4             x+4y-2z=0…

Q: Draw the Direct Form II implementation of the LTI system of impulse response h[n] = { 1, n even and…

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Q: Let p(x)= e5x be the standard integrating 3 factor to x y' +p(x)y =x°. Find p(8).

A: We have to find the value of p(8).

Q: The response time in milliseconds was determined for three different types of circuits in an…

A: Given the summarized result as Circuit Type Response 1 19 19 20 18 25 2 20 21 33 27 40 3 16…

Q: Determine which of the following impulse response do not correspond to a system that is stable or…

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Q: 12. A firm produces two goods in pure competition &amp; has the following TR &amp; TC functions TR=…

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Q: 8.4. Exercis Exercise 8.4.1: Show that the following systems have no closed trajectories. a) x' = x°…

A: (a) Given,                 x'=x3+yy'=y3+x2

Q: 3. If (X(t)} is a WSS process and if 00 Y(t) = | h(u) X(t – u)du, then - 00 (i) Ry (t) = R(T)* h(-t)…

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Q: Q1. Given the following LTI system: With the input x[n] and the impulse response h[n], where, x[1] =…

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Q: §3.6, Exercise 3. Let 0 1 0 0 0 1 0 0 0 A = Compute C = I3 +tA+ (tA)².

A: Given,  A matrix A=010001000 To compute, the matrix C=I3+tA+12tA2 Where t is any real number.

Q: Let U(x.y) =V(æy). Let | = $100, Px = $10 and Py = $10 be the initial set of prices and income. Now,…

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Q: (a) Compute , f(t)dt. (b) Compute tI and the x- YA y = f(t) 10 Area = 3 + 4 8. 10 Area = 35 -15 Area…

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Q: Find the impulse response function h(t) by using the fact that h(t) is the solution to the symbolic…

A: Given that y''-10y'+41y=g(t)     ....(1) g(t)=δ(t), y(0)=y'(0)=0 Taking Laplace transform of (1) on…

Q: 4. (3 pts) Let z = 21 - 3y and z= du - Sv, y= du + 5v. Find usig the chain rule. 2

A: The given question is taken from the partial derivative in which we have to find the partial…

Q: Solve the IBVP below: PDE : Ux = (1/c²)uu for 0sxsL, t>0 ВС: и(0, () —0, и(L, t) %3 0 for t>0 2k х,…

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Q: 2. Show that the AR(3) process Y, = Bo + B,Y,-1 + B,Y,-2 + B3Y,-3 + &, %3D can be written as AY, =…

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Q: b) Find the step response for the system below d d di2 y (t) + 4¬y (t) +3 y (t) = r (t) c) Given the…

A: (b) d2dt2y(t)+4ddty(t)+3y(t)=ddtx(t) apply Laplace transform  s2Y(s)+4sY(s)+3Y(s)=sY(s) for an step…

Q: 3. d the impulse response for the following system: ct-1 = (1) t-3 3 x(t) dt <t< 3 %3D 1. (1)4 3 く?

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Q: 1. Find y by Cramer's rule for the following linear system. x+Oy+2z 6 - 3r+4y+6z= 30 -r-2y+3z S

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Q: Consider the impulse response of a system shown in figure. Then, the output of the system, y[n], for…

A: From the figure h[n] is given by:

Q: ii. A causal discrete time LTI system is deseribed by yn]-n-1]+yln- 2]= x[n] , where x[n] and y[n] –…

A: For part (a) we have to take the Z-transform of both sides and find the ratio of the Z-transform of…

Q: 3. Compute and plot the DTFT of the signal x[n] = 0.6"u[n]. %3D

A: In Matlab; there is no inbuilt function discrete f=Fourier transform. So, I am finding z transform…

Q: 2. Solve for the Advanced retarded Greens function for the system F"(t)+wo² F(t) = S(t). Recall,…

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: The linear spline S12 (x)for the given model date is -1 1 3 f(x) 1 (x+1, xe [-1,0] () 12х - 1, х€…

A: The given data is  x -1 0 1 f(x) 0 1 3

Q: Check that the system Ax b with 1 3 1 A -1 and b 1 16 - 14 5 - 6 10 3 is inconsistent (note the rank…

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Q: 1. Find y by Cramer's rule for the following linear system. x+Oy+2z=6 - 3r+4y+6z=30 -r-2y+3z=8

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Q: Find the general solution of the DE y" = xsin(x). O y = -xsin(x) - 2cos(x) + Ax + B y = xsin(x) +…

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Q: Q2 Consider the impulse train p(t) = E ô(t – kT) p(1)

A: Given: Now considering the impulse train, P(t) = ∑K= -∞∞δ (t-KT)

Q: the impulse response of a linear time invariant system is h(n)={ 1,2,1,-1} Determine the response of…

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Q: > round (cov (DFRAME),2) M N M 2.71 -1.33 0.38 -1.20 0.78 N -1.33 2.89 -1.44 -0.89 0.38 -1.44 5.60…

A: A linear regression equation of Y on X can be expressed as : Y = a+ bX  where a and b are estimated…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.