Find the Laplace transform of the function: 0, f(t) = { e - 10t + 26, t2 5 t < 5 1 L(8) = e-5s 52 2 +- L(s) = e -5s %3D L(s) = e3s 2 L(s) = e-5s L(s) = e3s +

Q: Q1\ Find the Laplace transform for the following function: f(t) = - 24 t5/2 + t e3t sin (6t)

A:

Q: (2s-8.4) find the inverse transform of s2+0.4s–0.21 -

A:

Q: Find the sine transform of a function of x which is equal to sin x for 0 <x<a and 0 for x2a.

A:

Q: Find the Fourier transform of S (x) =!-\,| sin x dx Hence evaluate

A: Given,    f(x)= 1-x, x≤10        , x&gt;1

Q: Q5/ find the Fourier expression of f(x). f(x)=x+x² for _π< x <π -

A: I have done solution step by step in detail....go through the solution

Q: (i) Find L(cos(at + b)] where a and b are constants. (ii) Using Laplace transform, evaluate fote-³t…

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

Q: Find the Fourier Cosine Transform of the function -mx f(x) = (ae-m +be¯¹x}³_if_x>0 if a = 5, b = 4,…

A:

Q: Laplace transform of f(t) = e(4t-8)cos3(8t)

A:

Q: Find the Laplace Transform for the function e-Nt sin² (Nt)

A:

Q: x) = {0 ² ². 0, Determine the Fourier transform of the function: f(x) 0<*? x<0

A:

Q: Find the Fourier transform of f(x) and show details f(x) = {x²² 18 -1<x<0 otherwise

A:

Q: Find the Fourier transform

A:

Q: 6. a) Find the Fouriér Transform of f(x) = 1-x² (x) 1), b) Evaluate, - I Cosx-sinx cosdx

A: We have to solve the given problem using Fourier transform.

Q: Find the Fourier Transforms of the indicated function: f (x) = e-3x for x > 0 and f (x) = e2x for x…

A: We have,fx=e-3xx&gt;0e2xx&lt;0 To Do: Find the Fourier Transform of the given function.

Q: (c) Find the inverse Z-transform of Y(2) (32 – 1)(2+4)*

A:

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

A:

Q: Find the inverse Laplac Transform of the following functions: 1 (i) s2+2s+1 s3 -s2+s–1 (iii) TD-2)…

A:

Q: Find the inverse Laplace transform L-{F(s)} of the function F(s) s2 + 9s – 10 NOTE: The answer…

A: The given problem is to find the inverse Laplace transform of the given function.

Q: Find sine transform of e-[165]t/t

A: The Fourier sine transform is defined as                                  Fsfx = Fss = ∫0∞fx sinsx…

Q: Obtain the Fourier transform of the function where f(x) = 0 for x &lt; 0 and f(x) = e−axsin(bx) for…

A:

Q: 3 s + 10 s – 40 (t) (s³ – 4 s² – 7 s + 10) (s – 4) s

A:

Q: Determine the Fourier transform and plot the magnitude S1, It| < T/2 l0, otherwise (ii) x(t) = f(x)…

A:

Q: npute the Fourier transform of 2e33rt/2sinc(t/3 – 4)

A:

Q: What is the Fourier transform of: f(t)=sgn(t) e? Your answer should be expressed as a function of w…

A: Given a function ft=7i2sgnte−8t Explanation ft=7i2e−8t       for t&gt;0 ; t&gt;0 sgnt=1−7i2e8t…

Q: \lim_{x\rightarrow 7}\frac{x^2-5x-24}{x^2-4x-32}x→7lim​x2−4x−32x2−5x−24​

A: find out the limits of  a)limx→7 x2-5x-24x2-4x-32 b)limx→7x2-4x-32x2-5x-24

Q: f(x)= 2+ Show that fe L²(R) and find the L²-norm of the Fourier transform of

A: Answer given below.

Q: Write expoential Fourier transform of f(x) = e-l*l.

A: We need to find Fourier transform of  fx = e-x We know the formula for Fourier transformation of…

Q: sx 14-X Find the Fourier transform of function f(x) = , 0<x< 14 14 < X <16

A: