3. FIND THE FOURIER SEMES:

Q: Find the Laplace transform of cos 5t

A: To find the Laplace transform of cos 5t.

Q: 3. Evaluate Laplace transform to + 5 sin7t . 3 2

A: We have to find the Laplace transform .

Q: x(t) =

A: To find the Fourier transformation of xt=u3t+2e-j2t

Q: In the case where a = -T and b = T, compute (sin px, sin qx), (sin px, cos qx), and (cos px, cos…

A:

Q: The Laplace transform of L(sin5t) is

A: We will use the definition of laplace transform to find the laplace transform of L(sin5t). Laplace…

Q: ded as a Fourier se of x, then

A:

Q: Find the Laplace transform of coshbt.

A: We know that, coshbt=ebt+e-bt2

Q: / find the fourier transform of the function eat tく。 SCt) = -at

A: The given problem is to find the Fourier transform of the given function S(t).

Q: find the fourier transform of the function St)= -at 2.

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Q: Derive the Fourier spectrum of a signal that is given by z(t) = forect (2T) exp(−j10t + jt) dt.…

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Q: Flw) = Sinlw) e?Jw o.5W

A: Given function is: Fω=sinω0.5ωe-2jω or Fω=2sinωωe-2jω The standard inverse Fourier transform…

Q: ii) using the Fourier Transforms, Calculate dx. Jo (4x*)(9+x*)'

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Q: What is the Fourier transform of the following e-j10ntx(t)

A: The Fourier transform of the function f(t) is represented as F(k), it is defined as ∫-∞∞e-jktf(t)dt,…

Q: Find the Fourier sine and cosine transform of f (x), if х, 0 2

A: Fourier Cosine transform and Fourier sine transform

Q: -t cos(3t

A: To solve this problem, we  use the  result of laplace transformation.

Q: 15. The DI diagram to help solve the Fourier coefficient bn tsin given that %3D f(t) = f(t + 4) is:

A:

Q: Find the Fourier transform of the following signals using sine and cosine integral. x(t) 1 -1 -1 1…

A: Given function from the graph is: fx=x+1 Fourier transform of a function fx is:…

Q: Find the fourier transform of: | coshw,t

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Q: Determine the Fourier transform of e cl, with ca positive number.

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Q: find laplace Transforms fct) = I+ 7t sin h2t %3D

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Q: Find the fourier sine transform of a) f(x) = exp(-ar) and deduce sin(sz) -ds = 2+a² -az b) f(x)= re'…

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first…

Q: What is (are) the first name(s) of Fourier? A. Carlos Guiseppe B. Jacques Antoine C. Joseph Louis D.…

A:

Q: The Laplace transform of Le10t sin h(4t)] is

A: In this question, we find the Laplace transform of the given function with using shifting property.

Q: 4. e2t+a(2 cos at – 3 cosh 2at) -

A: It is given that the function ft=e2t+a2cosat-3cosh2at. We have to find the Laplace transform of ft…

Q: . Show that d(w) cos(Kt). = π[d(w − K) + d(w + K)] is the Fourier transform of -

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Q: Find the Fourier cosine transforms of 2e * 5e.2". 2.x

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Q: Find the trigonometric Fourier coefficients a and br. for k=0.2 for æ(t) = 3.7t over the interval…

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Q: (3) A signal has Fourier transform as, 1 sinc (2w X(w) sinc + 2. Compute x(t)

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Q: Find the Fourier transform of A(t/4) (a) sinc²(w/4) (b) sinc (w/2) (c) sinc (w) (d) sinc2(2w) O (a)…

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Q: . Example: shew that -at? e ayo 1, | a a?+p? Hindin ĕ dy Fis fourier -00

A:

Q: Find the Fourier transform of -et +2 cos(t). (a) -27 8(w+ 1) (b) 2n 8(w + 1) (c) -27 8(w- 1) (d) 2n…

A: To solve this problem we use the following the results and formula:

Q: Find the fourier transform of following signals a. x() = cos (2xf.1) b. x(1) = sin (27f 1) c. For…

A: Calculate Fourier transform of cos22πfct: Fcos22πfct=F122cos22πfct-1+1…

Q: L [cos πt

A: We want to find the Laplace transformation Lcos πt

Q: find the Laplace transform of cos3tcos5t

A: In this question, we use the trigonometric identity and then properties of Laplace transform. L…

Q: I the Fourier transform of f(t)= 3sin5t +4cosl %3D

A:

Q: skla 8. What is the value of Fourier discrete function & [k] at k = 1?

A: To determine: The value of the Fourier discrete function δk at k=1.

Q: Determine the Fourier transform of the following periodic signal 1+ cos(at + 5)

A: The Fourier transform of the function f(t) is represented as F(k), it is defined as…

Q: Find the Fourier Transform of Sa? – x², for |æ| a f(x) = and hence deduce that (sin s- s coss -) ds…

A: Fourier transform of gx=1 for x<a0 for x>a is ∫-aa1.e-isxdx. Calculate it:…

Q: find the fourierSevies of the Per jodic hunctio n de fined as fw =\ x+11+ |X-1 | %3D

A: Given function is f(x)=x+1+x-1, -π<x<π The above function can be written as f(x)=-(x+1)-(x-1),…

Q: Find the Laplace transform of e2t sin 5t.

A:

Q: The Laplace transform of L(sin7t) is

A: We have to find Laplace transform of…

Q: x(t) 2 -1 -1 1 -2

A:

Q: Find the Fourier trensfor - at e t 7° F(t) = tくo

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Q: L {sin(wt + O)} ; w and O are constants

A:

Q: 2. Find the Fourier fo O <x LR

A: Given function is fx=0, −π&lt;x&lt;01, 0&lt;x&lt;π. We have to find the Fourier series of fx. The…

Q: Compute the coefficient Fourier a, of the { T - r, 0<r<* 0, f(r) =

A: We have to compute Fourier coefficient an.

Q: what is the laplace transform of the 2cos^2t

A: In this question we have to find the laplace transform of 2cos22t

Q: Give the Fourier Transform for the following functions (ii) 10 + 4cos5t

A: The Fourier transform of the function f(t) is represented as F(k), it is defined as…

Q: 5. * + 9x = cos 2t

A:

Q: Find the Fourier transform of f(t) = 5e-3|t|_ %3D

A: To determine the Fourier transform of the below function. ft=5e−3t