Question: 1. Determine the Fourier transform of the signal: f(t) = e4+J5t .cos(2t)

Q: 36 3€ Find the laploce transform of f'(E) = e^†cos (6t) - e cos (Gt)

A: To find the laplace transform of ft=e3t+cos6t-e3t cos6t.

Q: The Fourier coefficient a, for the rectified sine wave y = sin (periodic function of 4n) is 1 1…

A: To find term of any sequence   , substitute in   and simplify .

Q: Q6) -bt (a) Derive Fourier transform of the following signal: x(t) = 2ce za u(t). Then plot the…

A: Given: xt=2ce-bt2au(t)

Q: Question: - Find the Laplace Transform of the four functions? 1- f(t) = cos(t) [cos²(t)-sin²(t)]…

A: We have to find the Laplace Transform of the function: ft=costcos2t-sin2tcos3t

Q: cos³ t

A:

Q: Question 22 6s – 5 Find the Inverse Laplace Transform of F (s) = s2+7 5 A f (1) = 6cos(/7t ) -…

A:

Q: Q1: For the signal x(t), shown in figure beside. I (t) i) Find Fourier Transform X(w) 1.5 ii) Sketch…

A: Q1. For the given signal x(t) the time period is T=2and w0=2πT=π The signal is given below,

Q: f(t) = te¯3t cos² 2t -3t cos 2t

A:

Q: (a) Consider a continuous-time signal g(t) with its Fourier Transform as below: (2 sin(w) G(jw) =…

A: Given equation is, Gjω=1-e-jω22sinωω+e-jω3 We have a recttT⇒2AsinωT2ω Let, A=1, T=2 then…

Q: Question 4-) Let Fourier Transform of the signal r(t) be X(jw). Assume that g(t) satisfies the…

A: Given that, Fourier transform of the signal xt be Xjw. (a) By the fourier transform of xt=Xjw.…

Q: Question 1: Compute the Fourier transform follows: a) f (t) = -5?u(t)e-st +e=7t=

A: Given,                     f(t)=-1t-52u(t)e-5t+e-7t2Where u(t) is the unit step function.

Q: using Laplace transform, solve the equation below. y'' -2y' + 2y = cos (t)         y(0) = 1,  y'(0)…

A: To find the solution of differential equation we use the properties of Laplace transform of…

Q: Question 3: Evaluate the Fourier transform of a Gaussian g(x) = ae with a, b>0 %3D

A: Given g(x)=ae-bx ⇒Fg(x)=12π∫-∞∞g(x)e-isx dx Here g(x) is defined for x>0, and  a ,b>0…

Q: Question 7 2s +3 Find the Inverse Laplace Transform of F (s) = s2+4s + 13 A f(t 2sin3t--cos3t 3…

A:

Q: 1. Choose only and appropriately between the Fourier sine transform and the Fourier cosine transform…

A: Given partial differential equations: ∂u∂t = k∂2u∂x2, x>0ux,0 = fx∂u∂x0,t = 0 To find: The…

Q: Question 2.i.) Find the Fourier transform of the function f(t) = 4e-7|| %3D 2.ii. What are the…

A:

Q: 2. Determine the Laplace Transform of the signal shown below. Only one cycle is shown but the signal…

A:

Q: Question 2 (The Laplace Transform). y" – 4y = 3u2(t) Use the Laplace Transform to solve {y(0) = 0…

A:

Q: (a) Consider a continuous-time signal g(t) with its Fourier Transform as below: (2 sin(w) G(jw) =…

A:

Q: What is the inverse Laplace transform of 1 /[(s-2) ^2 + 9]? C. 3e^ (-2t) D. 2 sin (2t) 5. A. sin…

A:

Q: 1. Find the trigonometric Fourier series for the wave shown below. T12 3T/2 27

A: The function f(t) is a rule that associates or fixes a number to the particular point t. If y=f(t),…

Q: Using the Fourier Transform table, find the Fourier transform of this signal: (d) x(t) = = 1 if 1 ≤…

A: Given function is Since we know X(ω)=∫-∞∞x(t)e-jωtdt

Q: i need the answer quickly

A: Given as,

Q: Example Find the Fourier transform of the rectangular pulse duration T and amplitude A T T SC) = 4…

A: The given problem is to find the Fourier transform for the given rectangular pulse function.

Q: 2s + 3 Find the Inverse Laplace Transform of (s+4)3 e" (2cos21+ sin2r) 2 A

A: I am attaching image so that you understand each and every step.

Q: - 2T -T 271 a ftt)= Cos nt Fourier Series s'i n:1,3,5,... %3B findi a+ b+ C

A:

Q: Question 2 (The Laplace Transform). Use the Laplace Transform to solve y" + 4y' = (t – 5)u5(t) y(0)…

A: We will find out the required solution using Laplace transform method.

Q: H.W 1 (1) Find the Fourier transform of the signal shown in figure below. f(t) cos (5t)

A: Topic:- Fourier transform

Q: (a) Find the Fourier Transform of the function: f(t) = e, for t>0 and a > 0.

A:

Q: Q.3- Find the complex form Fourier coefficient Cm for the signal shown below: f(t) E -2T -T -T/2 0…

A:

Q: Question 1 The Laplace transform of cosh(kt) is valid for O k > 0 Os k Os>0

A: Given:f(t)=coshkt

Q: Question 1: Compute the Fourier transform using the given table for the functions as follows: a) f…

A:

Q: 4) f(t) = 8 e4C+)cos(t – 3) Find the Fourier transform of the function.

A:

Q: Using laplace transform , find the solution of the initial value problem (D² +5)y= cos(2x), where…

A:

Q: 1: Find the trigonometric Fourier of the triangular waveform shown over the interval (-TT, TT). x(t)…

A: Time period (T)=2π we have half -wave symmetry for each signal So, bn=0 For half -wave symmetry only…

Q: Question # 1: Find the Fourier transform of the following Signals x(t), and y(t). X(1) (-) + 2 er ()…

A: The formula for the signals xt is, xt=ut+2+ut+1-ut-1-ut-2 Let, xt↔FTXjw Then, xt+T↔etJwTXjw

Q: Q1: For the signal f(t), shown in figure beside. i) Find Fourier Transform F(w) ii) Sketch amplitude…

A: Given:

Q: 2) Periodic signal x(t) which is shown in Figure-1 is applied to a LTI system with impulse response…

A: please see the next step for solution

Q: QUESTION 2 Find the inverse Laplace transform of 3s+8 F(s) = s2 + 2s+5 O A. e-(3cos(t) + 5sin(t)) B.…

A:

Q: Question: - Find the Laplace Transform of the four functions? 3- f(t) =sinh(6t) e¯2t t

A:

Q: 5. Find the Fourier Transform of the given signal and plot its frequency spectrum. x(t) = 2 e"u(-t)

A: The given signal is defined as x(t) = 2 e3t u(-t).The Fourier transform is defined by F(w) =…

Q: QUESTION 9 Using the table to find Laplace transform of e'sinh(2t) OA. 3 B. Non of the above. C. 1 O…

A: Recall the following. Lsinhat=as2-a2If Lft=Fs, then Leatf(t)=Fs-a

Q: Question 1.i.) A truncated sine wave sin5x, -T < x < T y = f(x) = 0, otherwise Find the Fourier…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: It is given that the Fourier transform of f (t) = e-atu(t) is: F(s): a+jw' Determine the Fourier…

A: Determine the Fourier transform of gt=3e-4tut-2.

Q: ∞ z sin(mz) (1+z²) 5. Find the Fourier sine transform of e- and hence evaluate f dz, m>0

A:

Q: 5.19. Find the Fourier transform of the following signals: 1 (a) x(t) 1 where a > 0 2 (a - jt) (b)…

A: FIND: Fourier transforms

Q: Use the three steps involved in using the Laplace Transform method for solving IVPs to solve the IVP…

A:

Q: S sin a, 0 2. Q.6 (a) Find the Fourier cosine transform of f(r) 0,

A: