Find the Fourier Sine Transform of the function   if a = 7,  b = 7 , m = 5 , and n = 4. Then, evaluate the transform if w = 21.

Q: Solve the laplace transform of f(t) = sin3 (10t). Hint: You may convert the given to whichever form…

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Q: Find the Laplace transform of tan(t). Show your full steps Solution.

A: Laplace transform

Q: Find the Fourier Sine Transform of e-t and hence find the Fourier Cosine Transform of te-t.

A: Fourier sine transform of e-t is ∫0∞e-tsinωtdt. Calculate it:  ∫0∞e-tsinωtdt=∫0∞e-teiωt-e-iωt2idt…

Q: Find Fourier cosine transform of and deduce that - bx -e cos pr di - kog log P+ b? p + a e 1

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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: Determine the Laplace Transform of sin³3t

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Q: Find the Laplace transform of cos2t.

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Q: Find the inverse Laplace transform of: (b) - .2

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Q: Write the function in terms of the unit step function and find the Laplace transform of the…

A: In this question, we write the f(t) in unit step form and then using property we find the Laplace…

Q: Q3/ Find Fourier cosine transform of the function f (x) = 2x ,0 < x < 4

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Q: Derive the general formula for the Laplace transform of sin bt.

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Q: Find the Fourier cosine transform of f(x) = e-2x + 4e-3x

A: Given, f(x) = e-2x + 4e-3x Find Fourier cosine transform

Q: 2Ct-3) Cos Ct-3)

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Q: Find the Fourier transform of -at TE|< 1 fCE) = otherwise

A: We have to solve the given problem.

Q: Find the Inverse Fourier transform of Tre-la.

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Q: Find the Laplace transform of e3t sin22t.

A: Find the laplace transform of e3t sin22t

Q: Determine the Laplace transform of the function seconds

A: We have to solve given problem:

Q: Find the Fourier transform of f(x) = sin x. In what sense does the Fourier transform exist?

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Q: For the data shown, determine the constants and/or coefficients for the discrete Fourier transform.…

A: Step 1 The kth discrete Fourier transform (DFT) coefficient for the set of N x-values corresponding…

Q: (1, |t| a

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

A: Fourier Cosine transform and Fourier sine transform

Q: Find the inverse Laplace transform of the functions.

A: We find Laplace inverse transform of given function

Q: Find the Fourier transform of the Gaussian function f(x) = e-ax".

A: Note "As per our company guidelines we are supposed to answer ?️only first question. please repost…

Q: Find the Fourier sine transform of 3e-5 + 5e-2

A: The objective is to find the Fourier transform of 3e-5x+5e-2x. The fourier transformation is…

Q: Find the inverse laplace transform of the function

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

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Q: Find the sine Fourier transform for f (x) = sin æ, x < 0,

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Q: )Find the fourier transform for the function: - 1<t <1 otherwise 1 f(t) = {, | %3D

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Q: Find the inverse Fourier transform of the function 10 sin(3) w+T

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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: Obtain the inverse laplace transform of the given function.

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Q: Find the inverse laplace transform of the function.

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Q: Find the laplace transform for the equation f(x) = 2 e^-2t sin4t

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Q: 1- -の+9

A: we can use following concepts (1) to (4) , to solve given problem:

Q: f(x)= == ¹xcl! Obtain the Fourier transform of

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Q: Find the cosine transform of a function of x which is unity for 0 <x < a and zero sin ap, for x 2 a.…

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Q: Compute the Fourier transform of the Heaviside function

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Q: Find the Fourier Sine Transform of the function 0026.png ,2.x 2 S(x)=| + be3x if x>0 6.x e if b = 5.…

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

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Q: ind the invers

A: First we will find the value of the given integral: intsinf 1/[u2(u2+1)] du Then we will find the…

Q: sinudu

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

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Q: The Laplace transform of L(sin7t) is

A: We have to find Laplace transform of…

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

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Q: x(t) A -1 -A

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Q: Solve for the Laplace transform of the function 8cos(at) and then solve for the value of a. Show…

A: Topic:- Laplace transform

Q: Solve for the Laplace transform : (number 12)

A: x(t)=cosh(3t)sin3tte5t      =e-5te3t+e-3t2sin3tt      =12t(e-2t+e-8t)sin3t…

Q: Find the Fourier cosine transform of e-x.

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Q: Find the Fourier sine transform of (sinx, 0a (2) %3D

A: Fourier transform

Q: Solve for the Laplace transform : (number 10)

A: Laplace transferom of the function.