Find the Fourier Sine Transform of the function ƒ(x) = (ae-4x + be−³x + ce-²x)² if x>0 if a = 3, b = 9, and c = 3. Then, evaluate the transform Round off the final answer to five decimal places. w = 20.8.

Q: f(x)= (ae if x>0 MX ае -Nx +be

A:

Q: 3. Find the Fourier transform of of 1/(1+t²).

A: Let  g(t)=e-at Then g^f=∫-∞∞e-ate-2πiftdt      =∫-∞0e-ate-2πiftdt + ∫0∞e-ate-2πiftdt…

Q: 40. Find the inverse Fourier transform off (p) = e¯ ™ Y.

A:

Q: N= 20 , a= 6 a. Find the Fourier Transform of the constant function f for f(x) = N, 0<x < N (Note: N…

A: Given N=20 and a=6 Since Fourier transform of f(x), -∞&lt;x&lt;∞, denoted by F(ω) where ω∈N, is…

Q: Write down Fourier Transform for the following non periodic function.

A: In this question, we have to write the Fourier transform of the non-periodic function. The function…

Q: Find the Fourier Cosine Transform of the function 0026.png 2 e2.x + be3* f(x)= if x>0 ,6x fb = 10 .…

A: Given function is f(x)=e2x+be3xe6x2 if x&gt;0we have to find the fourier cosin trasformation of this…

Q: find the Fourier transform f(x) = e ¹² cos fx|

A: What is Fourier Transformation: A mathematical transformation known as the Fourier transform…

Q: sinh ot + cos ot

A:

Q: The inverse transform of * 1 2 4s8s O % e (exp -t) sinh t O % e (exp t) sinh t O 1/4 e (exp -t) cosh…

A: Solution:  Given,  14s2-8s = 14(s2-2s)                             =14(s2-2s+1)-4=14((s-1)2-1) Now,…

Q: Let f(x)% = (a,cos (nx)+b,sin (nx)) %3D n=1 0, ifx €(-7,0] k, ifx€(0, 1). be the Fourier Series of…

A:

Q: nsform of 20 sinc (10(t - 10)

A:

Q: Find the Fourier Sine Transform of the function f(x) = (ae-4* + be-3* + ce-2*) if x> 0 if a = 6, b =…

A: The given problem is to find the Fourier sine transform for the given function with given unknown…

Q: Use (8), to evaluate the given inverse transform. (Write your answer as a function of t.) (t) dt =…

A:

Q: 2 f(x) = (ae-4x + be-3x + ce-2x)ʻ if x>0

A:

Q: S(1) = >1

A:

Q: Q4: Find the inverse Fourier transform of the spectrum: - 2s w S0 X (w) = 0 swS2 -- 0.W EIN I 0

A: Definition:

Q: Find the Fourier transform $\tilde{f}(p)$ of the function 4x²e-5¹ for x ≥ 0 for x < 0. f(x) = {…

A: fx=4x2e-5xfor x≥00for x&lt;0

Q: 4. Find the Inverse Fourier transform of Te-l@l.

A:

Q: Determine the graph and the Fourier coefficients of the following function: that describe the…

A: Determine the Fourier coefficient of f  f(x)= 0 , -π&lt;=x&lt;=0 .

Q: Find the Inverse Fourier transform of Te-lw||

A:

Q: For the next items find the z transform of the following: (a) {cos(nt)} (b) {sin ()} () {co E} (c)…

A:

Q: (b) Find the inverse Fourier transform of the following: (11) 1 √w√2π (3+jw)

A:

Q: Find the Fourier Sine Transform of the function   if a = 7,  b = 7 , m = 5 , and n = 4. Then,…

A: The formula for the Fourier Sine Transform is :-  f^a=2π∫0∞fxsinaxdx   And we are given the function…

Q: Find Fourier Sine and Cosine transform of the function f(x) = e -x

A:

Q: Find ℒ{sin(at)}. For what values of s is this transform defined?

A:

Q: Find the exponential transform of the function {1, Pi/2<x<pi. and 0, otherwise} and write f(x) as a…

A:

Q: · findd the fourier sine transform of f(x) = 7 A 9x 0<X<9 otherwise

A:

Q: Find the Fourier transform of the function : S (t) = e-x2 %3D

A: