The fourier integral of the following function Correspond to f(t) (t+1 = = \-t-1 0≤t≤π 00 Π + Σ ((-1)+1 πk² -2+(-1)* -sen(kt) + cos (kt) k A- B- Π 00 -(-1)kv −1)k 1, − ++ ½ Σ ( (= (³) sen(kt) + (-1) — cos (ke) 8 k=1 πλ s (kt)) (-1)*+1 πk² -1+(-1)* sen(kt) + cos (kt) k k=1 C- *+Σ(- (-1)*-1 -1-(-1)* sen(kt) πk³ cos (kt) k² (kt)) k=1 D-

Q: Examine the discrete time Fourier transform of sin) 5nn, .cos( 2 x[n]

A:

Q: Calculate the Fourier Transforms of the following functions: 1, |x| 1

A: According to guidelines we  have to solve the  first  one question.

Q: The periodic function f(t) is defined by f(t) = 10t for −3 <t≤ 3, with period 6. By integration,…

A:

Q: Find the Fourier transform of f(x) without using the Fourier transform table. f(x) = e-l×l. (-0 <x<…

A:

Q: Find the Fourier transform 1-x, | x | 1 sin x Cos X CoS x Hence evaluate dx.

A:

Q: f(t) = {, - 2 2 -2

A:

Q: Determine the Fourier transform of the given function: t, 0 < t < 1 0<t<2 f(t) = 2t - 1, 0,…

A:

Q: Obtain the inverse Fourier transform of TU F(w) = {cos (4w) if |w| < 4 0

A: The given problem is to find the inverse fourier transform for the given function F(w).Given F(w) =…

Q: Find the Fourier approximation with the specified order of the function on the interval [0, 2π].f…

A:

Q: f(x) = [sin x if 0 T

A:

Q: Find the complex fourier Intergral Representationn of 0, x 0

A:

Q: Show that the Fourier transform of f(t) defined by: -3, -a < t < 0 3, f (t) = 0 <t<a Elsewhere where…

A:

Q: Find f(x) = f a-1x1 0 the Fourier a-1x1, Hence prove transform Ixl <a , Ixla that 1 (sin t t 0 2 of…

A: Given f(x)=a-x,x&lt;a i.e., -a&lt;x&lt;a                   =0,         x&gt;a i.e., x&gt;a, x&lt;-a…

Q: 8.(a) Find the Fourier transform for the function cos x, -n/2 7/2 f(x) = 0, (b) Use the result in…

A:

Q: Compute the coefficient Fourier an of the *-1, 0<r <a S(2) = { 0, *<I< 27

A:

Q: 5 - Calculate the Fourier transform of 100 – 5t 0 <t< 20 f(t) = otherwise

A:

Q: The complex exponential Fourier coefficients for the periodic function x(t)=t, 0<t<2 is:

A:

Q: Consider the function f(x) = cos(2x) for -2pi &lt; x ≤ 2pi and zero otherwise.A) Show that it meets…

A:

Q: For the following signal: f(t) = 2 for -2n < t < 0 = -1 for 0 < t < 2n a) Plot the signal by hand.…

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

Q: Find the Exponential Fourier coefficient Cn for signal f(x) = x Defined on interval [-1 ,1]

A: Complex form of Fourier series is defined as follows: fx=∑n=-∞∞cne-inx2πL where,…

Q: Let f(x)=2 cos(5x)+3 sin(4x) and let q, be the Fourier polynomial of degree n for f. (a) Show that…

A: Given: fx=2cos5x+3sin4x The period is 2π as f2π+x=fx The fourier polynomial of degree n is:…

Q: State the definitions of direct and inverse Fourier transforms. Then, compute the Fourier transforms…

A:

Q: (3 f(t) = - 2<t< 2 otherwise %3D

A:

Q: Compute the Fourier Transform of the following function (3 , –n < x < o (1 , 0<x< TI f(x) =

A:

Q: Find the Fourier transform of f(t) = {, t 0 12e-t O 2/(1+jw) O 1/(1+jw) O -1(1+jw) O -2/(1+jw)

A: We have to find the Fourier transform.

Q: Find Fourierexpansion of the Punction fcx) = x2 XE [-T, TT] then deduce thetn = | 2' (572 (7)2t. (2)…

A: Since you have asked multiple questions, we will solve the first Question for you. If you want any…

Q: Q1) using Fourier transform find x(t) below x(t) = [e-3tu(t) * e-6*u(t)] dt

A: Solution is given below

Q: Let f(x) = (x2 + 1), n<x <a be a periodic function, then the Fourier coefficient az = Answer:

A:

Q: Let A = {1, 2,...,: 10}. Find the closure and the interior of A in the following topo- logical…

A: In mathematics, topology is the study of the properties of spaces that are preserved under…

Q: What is the Fourier transform of 8(x) dx F(k) = 100 = 2T -ikx 8(x) =?

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

Q: Show that the Fourier sine transform of the function 0 < x≤1 {:- 1-x 1 ≤ x ≤ 2 2≤x is given by 2 sin…

A: I think the given answer is not correct.

Q: Q1. Find the Fourier integral of the given function and discuss it at the discontinuity points…

A:

Q: Consider the function f(x) = cos(2x) for -2pi &lt; x ≤ 2pi and zero otherwise.A) Show that it meets…

A: A) Condition for Fourier Transform To have a Fourier transform, a function must be absolutely…

Q: Compute the first three Fourier approximations of the following functions. Use a computer to graph…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: If V=R\power{3}, and W\index{1} is the xy plane and  let W\index{2} is yz-plane:…

A: Let (a,b,c) be any element of R3, then (a,b,c)=(x,y,0)+(0,y,z)=(x,2y,z) ⇒a=x, b=2y, c=z ⇒a,b,c∈R ⇒…