Question 8: (₁²+1 Let f(t) = 5 1²/² + 1/²/² Find the Laplace transform 2|32| 0 ≤t π

Q: A function f (t) = e-at is defined for a > 0 andt > 0. By finding the Fourier transform show that…

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Q: What is the Fourier transform of the function 4 cos(5t) on the interval [-x, a]| Select one: O a. 4…

A: Here we have to find the Fourier transformation of the function x(t) = 4 cos (5t) Using the formula:…

Q: Examine the discrete time Fourier transform of sin) 5nn, .cos( 2 x[n]

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Q: The value of (i)* is = O e^(-T/2) e^(T/2) O 1/2 -T/2

A: The solution is given as

Q: Solve the Laplace transform of; L-1 3s + 10 s² + 4s + 20/

A: Using the table of Laplace transformation, it can be written that:…

Q: Find the Fourier transform 1-x, | x | 1 sin x Cos X CoS x Hence evaluate dx.

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Q: Find the Laplace transform, if it exists, of each of the following functions f(t)= {e-2x (5 sin2x -…

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Q: A) Find x{(e-51-7)²} L B)[ Use the definition to evaluate the Laplace Transform of the function 2,…

A: FIRSTLY WE USE AN IDENTITY, a-b2=a2+b2-2ab ⇒e-5t-72=e-5t2+72-14e-5t⇒e-5t-72=e-10t+49-14e-5t AND THE…

Q: 6. Find the inverse Laplace transform of the following functions. a) F(s) = ln (5+3). UTMUT TM UTM…

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Q: Obtain the inverse Fourier transform of TU F(w) = {cos (4w) if |w| < 4 0

A: The given problem is to find the inverse fourier transform for the given function F(w).Given F(w) =…

Q: Find the inverse Laplace transform L-¹{F(s)} of the function F(s): L-¹{F(s)} = = 2 s²+7s 8 NOTE: The…

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Q: Find f(x) = f a-1x1 0 the Fourier a-1x1, Hence prove transform Ixl <a , Ixla that 1 (sin t t 0 2 of…

A: Given f(x)=a-x,x&lt;a i.e., -a&lt;x&lt;a                   =0,         x&gt;a i.e., x&gt;a, x&lt;-a…

Q: 5. The fourier transform of the function f(x)=eI, is 2 4- w? O b. 2 w? -4 4 С. w? - 4 Od. 4+w? 4.

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Q: Q2) Find the Z transform X(z) of the following function X(t) 5 – 3e-2t for T=1 sec. and k 20

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Q: Find the inverse Laplace transform L¯¹{F(s)} of the function F(s) L-¹{F(s)} = = 6 (s − 1)³ NOTE: The…

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Q: Sketch the function below, express it in terms of window and step functions, and compu its Laplace…

A: A function gt=t0&lt;t&lt;22cost-22&lt;t&lt;4π+210t-2t&gt;4π+2 To Find : Sketch the given function…

Q: Find the laplace transform of cos at using the formula £{ƒ (t)} = est f (t) dt. Hencefind the…

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Q: (1-6 (1-5 (1-5)

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Q: a. Find Fourier transform for the following function l(x): -1 15 |(x) = {". (Hint: \r| =r for r> 0,…

A: The given function is  l(x)=1 if -1&lt;x&lt;10  if |x|&gt;1 We know that the Fourier transform of a…

Q: Compute the Fourier Transform of the following function (3 , –n < x < o (1 , 0<x< TI f(x) =

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Q: (sin³r} = {1-co52} and find the Laplace transform: S 1 2 -3²+2 S 1 2 O 1(1 1/1 S +4 +2

A: Given formula of sin^2 t is in terms of cos2t. For detailed solution, visit step 2.

Q: Find the inverse Laplace transform: 1-3s F(s) = s²+2s +5 O a. 3/2+e-[(3/2) cos 21 - (9/2) sin 21]…

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Q: Activity 3: A spring-mass-damper system has the following equilibrium equation: 4 d²y dy +3 +40y =…

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Q: Laplace Transform

A: In this question, the concept of Laplace Transform is applied. Laplace Transform Laplace transform…

Q: The inverse laplace transform of Select one: True O False S s4 +4 is sintsinh (t)

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Q: Find the inverse Laplace transform L-¹{F(s)} of the function 2 F'(s) s² + 5s 6 NOTE: The answer…

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Q: For the Laplace transform, F (s) = +, find the time function (i.e. the inverse Laplace transform)…

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Q: -4s Using Laplace transform tables or otherwise, find L-1

A: Please check step 2 for the solution.!

Q: 2T (-1Y- Find f(x) if its finite sine transform is given by f, (p) = where 0<x < T. -, p = 1, 2, 3,…

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Q: if t 5. t-5 ● i +7x = 4t, x(0) = 5 • ï + 14x + 58x = 174, x(0) = (0) = 0

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Q: The Laplace transform of L[2 sin 5t sin 4t is s+ (1)2 s2 + (9)2. 2s s2 +(1)2 s2 + (9)2 s2 + (1)2 s2…

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Q: 4) Find the Laplace Transform of the following functions: f(1) = Lu(t – n) n=0 f (t) = (-1)t/a] *]…

A: a) Given function is , ft=∑n=0∞ut-n     =ut-0+ut-1+ut-2+···· To find : Laplace transform of ft…

Q: A concrete sidewalk is to be be built around the outside of the corner lot that measures 140ft by…

A: Hence area of sidewalk =1575 ft2