Find the Laplace transform of L[ (A) L =- s* +a (B) L[)= a (C) L = (D) L =- s +a (D)

Q: Determine the Laplace transform of f(t) = 5sin 2t - 6t * cos 2t

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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 laplace transform of (b) L-- [tan-" )]

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Q: Find the Laplace Transform of h (t) = t2 e-3t (*+3)" 4. (8+3) (8-3)" (s13)"

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Q: Z (² - -/-) (² - -/-) (2-

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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: Find the inverse Laplace transform of: 1 1+2s (a) (b) s+7 - 2 s+4 (c) (d) s' +6s +10 s' + 2s +5

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Q: Determine the periodic deposit. Round up to the nearest dollar. How much of the financial goal comes…

A: We will find out the required solution.

Q: Find the Laplace transform F(s) = L {f(t)} of the function f(t) = (3 – t) (u₂(t) — u₁(t)) F(s) = L…

A: Formula of Laplace transform  Lu(t-c)=e-cssLtkf(t)=(-1)kdkdsk(F(s))

Q: So (sinh (-2t)e¯') u(t)

A: We shall find the Laplace transform of∫0tsinh-2te-tutdt that is L∫0tsinh-2te-tutdt First Shifting…

Q: Find the inverse Laplace transform of [(18s)/((s2+9)2)]e-2s

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Q: Find the Laplace transform F(s) = L {ƒ(t)} of the function f(t) = (9 – t) (u₂(t) — u6(t))

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Q: The Fourier transform of the function f(t) = 2e-2t cosh 2t u(t)is: 2 4 A- πδ (ω) B- πδ(ω )+ j2w+w?’…

A: We have to use formula for Fourier Transform.

Q: The Laplace transform of x(t) is X(s). Given x(0)=2 and x'(0)=-1, write an expression for the…

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Q: Find the inverse Laplace transform of 7s + 3 82 + 17 8 >0

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Q: осод ва меньва оз 4.th order. вида у со.в), comest Фу decimal placesi 16 - д-х2, у (06) =117379

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

Q: The Laplace transform of f (t) =t² U(t – 3) is: %3D F(s) = e* (-) F(s) = e=3* (; +) O This option O…

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Q: F(s)= (s +1)es» s²(s + 2) -5s

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Q: x(t)=sin(t-3T)

A: Z transform

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 the function where f(x) = 0 for x < 0 and f(x) = e−axsin(bx) for…

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Q: 8 Find the inverse Laplace transform of F (s) = f (t) = 8"H(t) (Write eab as exp(a*b)). %3| ||

A: We have to find laplace inverse of F(s)

Q: Q6/ Find the Inverse Laplace Transform 4-L-1( s-3 )

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Q: Find the Laplace transform F(s) = f(t)= (3-t) (h(t-4)-h(t-6)), for a 0. F(8) = C {f(t)} 2h(3-1)/s^2…

A: We know for a function g(t),           L{g(t)h(t - c)} = e-cs L{g(t + c)} Here, h(t - c) is…

Q: B- Find Inverse Laplace transform of the following functions F(s)= 2s-7 (s+ 6)(s² + 4) G(s) = s(s² +…

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Q: Find the laplace transform of H(t) when H(t) = (e^2t-3)(e^2-t)

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

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Q: (b) What is the Fourier Transform of x?8(x² – a²)?

A: The given problem is to find the Fourier transform of the given function, in the given function…

Q: 8(a) Using Convolution theorem, find the inverse Laplace transform of s2 +aP

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

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