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

Q: 2s+3 . Find the inverse Laplace transform of (s) Verify the solution by using Matlab. s3+s²+9s+9

A: Given F(s)=2s+3s3+s2+9s+9

Q: Ex (3): Find The Fourier Transform for this function 0. 1 f(x) = x 0

A: According to the given information it is required to find the Fourier transform of the given…

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

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

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Q: e> and deduce that Find Fourier sine transform of- ar e bx e | sin px dx = Tan2 - Tan a

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Q: Answer #5 and find the Inverse Laplace Transform of the functions by reduction to partial fractions.…

A: 5. The given Laplace transformation is                              s2+5s-2s+12s-1s-7

Q: Find the Fourier series of the function in Figure 1. y 4 IT Figure 1. Function f (x)

A: Given: The graph for the function is : Now we have to find the Fourier series for the function in…

Q: 7. Obtain the Fourier sine transform of the following functions: sin wx (c) x² +1' w > 0

A: The given problem is to find the Fourier sine transform of the given function, we have a general…

Q: By using the Fourier transform, find a solution for the following problem

A: Given: The fourier transform is,  P  ut  t , x  = 4 uxx t , x + t + et  ,   x∈ ℝ , t&gt;0u 0 , x   =…

Q: solve the following problem by definition of the Laplace transform and by direct formula:

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Q: Determine the Fourier Transform of the following function. -2 <x < 0, 0 <x < 2; Problem 1: f(x) =…

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

Q: Q2: Find Fourier Transform (FT) of the function f(t) = e-bltl and plot this function in time and…

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Q: cos 3t --sin 3t 4 20s? - 103s – 423 20s² – 103s + 423 6. 20s + 103s + 423 d. none of the above a.…

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Q: (k) f(x) =X[a.b](x) eiaz,

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Q: Please please please solve a question in a quarter of an hour 2ks Find the inverse Laplace transform…

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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 x2…

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Q: COS TA sin a da 1- cOS Ta sin πα da 4' 2

A: The Fourier sine-transform is the imaginary part of the full Fourier Transform. If f(x) is an odd…

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: Have both question and answer (second picture), but need help knowing how to get that answer using…

A: The given function,

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

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Q: Find the Laplace Transform of: f(t) = t (cosh kt + sinh kt )

A: 1) cosh kt = ekt+ e-kt2 2) sin h kt = ekt-e-kt2 3) ∝tn eat= n!s-an+1 where ∝ft is laplace…

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

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Q: 1 Find the Fourier sine and cosine transform of ƒ(x)=

A: Use the Fourier Sine and Cosine transform table to obtain the result.

Q: nd the Fourier Sine Transform of the function f(x) = = ||

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Q: Find the Fourier sine transform of the function 0 if0 2

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Q: (2) Use the Laplace transform to solve the integral equation f(t) + et- f(7)dr = t².

A: We will use the notions of convolution and apply the Laplace transform on them. Finally, we will use…

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

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Q: Find the Inverse Fourier transform of re-l

A: We need to find the Inverse Fourier transform of πe-ω. We know the Inverse Fourier transform of Fω…

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

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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: Apply related theorems and tables to find the Laplace transform L sin t cos

A: Given: L∫0tsinτ cost-τdt

Q: Find the transform of the given function by use of a table. f () = | = cos -4t - sin -4t

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Q: 1) Find the Fourier Sine transform of the function f(x) = re %3D

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Q: Find f(x) if its Sine Transform is Hence find F, ().

A: Given that f(x)=e-axx The fourier sine transform is  Fs=∫0∞f(x)sinsxdx=∫0∞e-axxsinsxdx…

Q: xsinmx dx 1+x? Find the fourier sine transform of e*and hence evaluate

A: Here, we have to find the fourier sine transform of a given function. Let say that function be f(x).…

Q: Find the Inverse Laplace Transform of s?+2s + 10 'sin3t A 3 3 sin9 3. cost

A: Inverse Laplace transferom

Q: Find the Laplace transform of the following functions as a function of "s" and simplify your final…

A: Given function is  ft=3sin bt cosh bt By definition of Laplace transform Lft=∫0∞e-stftdt

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

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

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Q: 3e% sin3tsinh7t 9. h(t) =

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

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Q: Find the Fourier Sine Transform of the function 0026.png S(x)=| e2.x +be3x* if x>0 if b= 13. Then,…

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Q: Find the fourier transform of f(t) = e-2(t+4)ʻ sin (nt).

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Q: 1 Find the Fourier CosineTransform of the function f(x) 1+x2

A: We have to find the cosine transform of the given function.

Q: 2 e?* + be3* f(x)= if x>0 6x

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Q: Find the transform of the given functions by use of the table. f(t)= cos 3t-sin 3t

A: Lcos3t-sin3t=Lcos3t-Lsin3tUse Laplace Transform table:          Lcosat=ss2+a2,…