Let x(t) be defined as ?(?) = { 3, −1 ≤ ? ≤ 0,                                                         1,    0 < ? ≤ 1,                                                         0,    ????. Sketch the following: a) x(t-3). b) x(t+3). c) x(-t). d) x(-t+3).

Q: perform the following tasks:

A:

Q: How do you determine if a differential equation is linear and time invariant

A:

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: Delta function / distribution... Consider + Ax = f(t), A > 0, with various input forces and initial…

A: solution:-    Given  differential  equation  is:-      dxdt+λx=ft       where      λ&gt;0     x0=01…

Q: For a continuous-time system with input x (t) output y (t) = x (t) u (t): a- Is the system changing…

A: Given: A system yt=xtut According to question: a) The system is changing over time or not is…

Q: Problem 1: a) Use step functions to write an expression for the function shown in Figure. b) Find…

A: As per guidelines given to us we can only provide the solution of first question in multiple type of…

Q: T.A damping system with a nagligibly small spring constant is modelled by X' + bx' = a e"" with…

A:

Q: 1. You are given with two functions f(t) and h(t), as shown below. Find g(t) where g(t) = f(t)*h(t).…

A: Given

Q: Evaluate the integral: 3 I= ƒ (t° + 8) [8 (t) + 95 (t – 1)] dt. -1 Express your answer using three…

A:

Q: Q5\ check the folowing systems is (Linear, causal stable) 1-Y(t)= Sintx(t) 2-Y(1)-tX(t)…

A:

Q: v(t) t 1 2 3 4 2.

A:

Q: Determine the form of the particular solution for the differential equation dv(t)dt+3v(t) = t 2…

A: Consider the differential equation,

Q: (a) Consider a system y(t) = 4(t – 1)x(t) + 4x(t + 1). Does the system linear?

A:

Q: Can you solve this plzzz ?????

A:

Q: Calculate y(t)=x(t)*v(t) using the convolution integral for the continuous signals x(t) and v(t)…

A:

Q: 3. Design and implement the given function using K-Map :- F = TtM (0,1,3,4,5,7,8,10,12,14) +…

A: Given, F=πM0,1,3,4,5,7,8,10,12,'4+d11,15…

Q: Given the following graph, what is the corresponding function (t 0)? 1 O 3u (t – 1) + (6 – 3t) u (t…

A: From the given graph Express the signal interns of ramp and step.

Q: only ree discontinuities, what is the value of a 2.11. Let -3t x(1) = u(t - 3) - u(t – 5) and h(t) =…

A: Computer the y(t) = x(t) *h(t)  x(t) is input signal h(t) is impulse response.

Q: Evaluate f, (t)®f,(t) for the functions shown f(0) f(1) Ans: 4(t+1), -1<1s 1 4(3-t), 1<t< 3 f,(1)…

A:

Q: Given a signal x(t) as shown in Figure. Thus, the signal y(t) = 2 x(t – 4) can be expressed as: A. 2…

A:

Q: 3. Consider the functions (t)= exp(-|t) and Determine the constant A, such that ₁ (t) and 2(t) = 1 -…

A: Given Data: The continuous-time signals of, ψ1t=e-t ψ2t=1-Ae-2t To Find: Value of A when the…

Q: Sketch the following signals a) if t<-4 x(t)= {t +2 if - 4<t< 3 t - 2 if 3<t b) y(t) = x(t-1) where…

A: In the question,  Sketch the following signals.  We are using the shifting property.

Q: Which of the following equations would match the graph ofx(t)? x(t) -1 11 1. A) x(t) = u(t + 1) +…

A: In this question , we will find given signal equation..

Q: lle 3 H t = 0 22 5 A 1 H 2 H 2. Obtain expressions for both i1(t) and iL(t) as labeled in the…

A:

Q: e) Write the complete expression for I.(t) L(t) =. f) Write the complete expression for VR(t) Vr(t)…

A: Given a circuit: We need to write the complete expression for IL(t) and VR(t).

Q: Sketch the continuous-time signal; x(t)= (t+1) u(t-1) – t u(t) – u(t-2)

A: The given signal is,  The waveform for the ramp and the unit step component is shown below:

Q: Problem 4 Let and x(t)=e¹u(t) h(t) = (1-t) [u(t)-u(t-1)]. (a) Sketch x(t) and h(t). (b) Compute h(t)…

A:

Q: A signal generator is programmed to output a voltage waveform, f(t), pictured on the right.…

A: What is a signal generator? Signal generator is an electronic device which provides standard test…

Q: 1. Evaluate the following integral reducing your answer to the simplest form t-3 |t-6(7+3) dr (T-)…

A: The solution is given below

Q: Q.1 Signal x(t)=-2u(t + 2) + 5u(t)-3(t-2)u(t-2) + 3(t-3)u(t-3) is an input to the system A and B…

A: Given, x(t) is input to system A and B. System A output, y(t) = x(-3t+6); System B output, z(t) =…

Q: 7. Simplify the following equation: f(A, B,C,D) =E(1,5,6,11,14,15) dm(2,3,7) where dm is denoted for…

A:

Q: 1. Using graphical method, compute the convolution integral y(t) = x(t) h(t) for the pair of signals…

A: Given:we need to compute: the convolution of of x(t) and h(t).

Q: a) A system is "linear" whenever its output y(t)=A x(t) + B for some constants A and B. (TRUE or…

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

Q: Example 3: Find and sketch y(t)= x(t)*h(t) Where x(1) = 2[u(1-2) – u(1-4)] and h(t) = [u(1) –…

A:

Q: c) A continuous-time system is given by the differential equation, d²y(t) dy(t) + 5 dt dx(t) -4x(t)…

A:

Q: - Given x₁(t) = u(t) – u(t – 5); x2(t) = u(t − 2) — u(t − 4); x3(t) = e−³tu(t); x4(t) = e-¹tu(t),…

A: As per the honor code we can solve only 3 subparts at a time. Please repost your question to get the…

Q: 4. Given the function x(t) and h(t) below: x(t) h(t) 2 a) Determine y(t) = x(t) + h(t) graphically.…

A:

Fourier Series

Most of the incidents studied in the field of Engineering and Science as a function of time. For example, current and voltage are in the alternating current circuit. These occasional activities can be analyzed in the activity components (fundamental frequency and harmonics) through a process called Fourier analysis.