Evaluate the inverse Laplace transforms of the following: 4. +. s-5 1. 6+s 2. s+35s-3 6s -5 4s +7] 3.

Q: Determine inverse z-transform of the following equations: Z 2² a. b. (z-2)² (z-1)(z-0.5)

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Q: A. Ch-ch-ch-ch-changes Suppose all vectors = (x, y) in the unit square, i.e. 0 ≤ x ≤ 1, and 0 ≤ y ≤…

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Q: Find the Laplace Transforms of the function

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Q: 8. y" +9y = 20e y(0); y' ||

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Q: Obtain the inverse Laplace transforms of the following function 5(s+2) F(s) = (2+2s+1) 10 5texp…

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Q: 2. F(s): = 3s² +5s-4 S4

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Q: Find Fourier transform for the following image 0 1 0 1 0 1 0 1 1

A: The Fourier transform is Fk, l=1N∑i=0N-1  ∑j=0N-1 fi, jeι2πkiN+ljN. Expand the series: Fk, l=13∑i=02…

Q: co sh?Ł

A: As we know,    cosht = exp(t)+exp(-t)2                  and               Laplace transform of ept =…

Q: L{e' sinh(t)}

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Q: Find the inverse Transform of the following: F(G) = 6s +19 S+ 2 3. %3D s?+25 52+25

A: Since you have asked more than one questions, we will solve first one for you. If you want other…

Q: 1 L-1 (s² + 1) (s² + 4s + 8) J

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Q: f(t) = [1– u2m(t)](2 sin t – sin 2t) U2n

A: Some of the properties of Laplace transformation Lsinat=as2+a2Luc(t)=e-cssLuc(t)g(t)=e-csL[g(t+c)]

Q: f(t) = [1– uzn(t)](2 sin t – sin 2t

A: Solution

Q: b-F(w)=e"w - t

A: According to the definition of modulus function f(x)=|x|, the value of function f(x) is x, if x≥0…

Q: y! ty =e*t which catis fies the conditions y (0 %3D

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Q: L{t – e-3t} = + s-3 L{t – e-3t} = =-- I. II. s-3 L{t – e-3t} = +3 L{t – e-3t} = III. IV. %3D s+3

A: We know the Laplace transforms Ltn=n!sn+1, s>0 L ea t =1s-a, s>a Now, Lt-e-3t=Lt-Le-3t L t…

Q: 2+5( jw) (jw)' +3( jw)–10 a- F(w)=-

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Q: 6. et+7 dt 7. r'e-)* dt 8. I. 4e-" sin 6t dt

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Q: . f(t) = -2cos6t + 5sin6t %3D

A: Solution

Q: Find the Inverse Laplace Transform of 2+4s +4 B -21 te -12 2.

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Q: Question 1.i.) A truncated sine wave sin5x, -T <x < T y = f(x) = 0, otherwise

A: we have y=fx=sin5x,    -π&lt;x&lt;π0,       otherwise Fourier sine transform  FsS=12π∫fxsinwxdx…

Q: s+4 L- 82 + 48 + 8 ,

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Q: Find the Laplace transform of 1. f(t) = [1– Uz7(t)](2 sin t – sin 2t)

A: Given the function ft=121-u2πt2sin t-sin 2t  We will find the Laplace transform of ft

Q: Find the Inverse Laplace Transforms of the following Functions: 1.(4s - 3Tt) / (s2 +n2) 2. 10 / (2s…

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Q: leccione una: a. x(z)= - b. x(z)= - c. x(z)= ■ d. x(z)= e x(z) = Z Z-2 Z 1-Z 1 1-2z-1 1 Z-2 1…

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