Express the function 0 -G 0 _f(t) = t < 0 7-t² 0≤t <2 t> 2 in terms of unit step functions and hence determine F(s), the Laplace transform of f(t), in the form Α _F(8) = A + B + S Enter A: Enter B: Enter C: Enter D: Enter E: Enter w: C De + 82 Enter the values of A, B, C, D, E and w in the boxes below. 83 000000 -ws + E e-ws. S

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

A: The given problem is to find the Fourier cosine transform of the given function and also find the…

Q: F-¹ ¹(1+jw) (2+jw)

A: L

Q: Compute the Fourier Transform of f(x) = e-ax-

A: Fourier transform of a function fx is defined as  Ffx=∫-∞∞fxeisx dx Gamma function =∫0∞e-x xn-1 dx

Q: Find the Fourier transform F(e-az) of f(x) = e-a if x > 0 and f(x) = 0 if x 0.

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Q: a) Find the Fourier transform of 4 f(t) = e tu(t) + -tu(t) + ²9.

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Q: Find Fourier transform for f (t-2)

A: We have to solve given problem:

Q: -2x jika x > 0 jika x <0 f(x) =

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Q: 7) f(x)= xe-x 0 if -1<x<0 otherwise

A: Formula for the Fourier Transform of fx is  Fw=∫-∞∞fxeiwxdx  We are given fx=xe-xif…

Q: Compute the Fourier transform of the following function: f(x) = e-a(r-x0)²+iqx (5) where a > 0 and q…

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Q: f *g =g *f , where (*) is the convolution in Fourier transform. Select one: True False

A: Given: (*) is the convolution in fourier transform. To prove:  f*g=g*f. Proof: It is known that…

Q: Determine the Laplace transform of the equation f (x) = 2e-"sin4t 16 A s2+ 4s + 20 20 B s2+ 4s + 20…

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Q: -Obtain the Fourier transform of f(t): = sin (30) -t²+7it+12

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Q: f(x) = 0 if -1<x otherwi

A: Formula for the Fourier Transform of fx is  Fw=∫-∞∞fxeiwxdx We are given fx=|x|if…

Q: D

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Q: Find the Fourier Transforms of the indicated function: f (x) = xe-|x|

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Q: Find the inverse Laplace transform f(t)= C1 (F(s)) of the function F(s): 36)}-Oh f(t)=c-1 {-(; 6 +64…

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Q: Q3): Find the Laplace transform of (u²-u+e") du.

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Q: 3. y + 5y + 4y = 0, y(0) = 0, y(0) = 1

A:

Q: 2un + 1 NI n

A: Solution : Ƶ(2u(n)+0.5n)=? Ƶ(u(n))=zz-1     ROC=z&gt;1   Ƶ(n)=∑n=0nz-n=zz-12     ROC=z&gt;1…

Q: Find the Fourier Cosine Transform of the function 031.png f(x)= (ae¯mx + be¯x} if x>0 x > 0 if a =…

A: Given: Let us consider the given function, fx=ae-mx+be-nx3 if x&gt;0 and whether a=5, b=7, m=3, and…